%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG162+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 : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:06:04 EDT 2022 % Result : Unsatisfiable 7.40s 7.60s % Output : Proof 7.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : ALG162+1 : TPTP v8.1.0. Released v2.7.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n027.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 14:19:41 EDT 2022 % 0.12/0.33 % CPUTime : % 7.40/7.60 % SZS status Theorem % 7.40/7.60 (* PROOF-FOUND *) % 7.40/7.60 (* BEGIN-PROOF *) % 7.40/7.60 % SZS output start Proof % 7.40/7.60 1. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 7.40/7.60 2. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ### ConjTree 1 % 7.40/7.60 3. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 7.40/7.60 4. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) = (e1))))) ### ConjTree 3 % 7.40/7.60 5. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 7.40/7.60 6. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) = (e2))))) ### ConjTree 5 % 7.40/7.60 7. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 7.40/7.60 8. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) = (e3))))) ### ConjTree 7 % 7.40/7.60 9. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.40/7.60 10. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.40/7.60 11. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 7.40/7.60 12. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 7.40/7.60 13. ((e0) != (e0)) ### NotEqual % 7.40/7.60 14. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 11 12 13 % 7.40/7.60 15. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 7.40/7.60 16. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 7.40/7.60 17. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 15 16 13 % 7.40/7.60 18. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.40/7.60 19. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.40/7.60 20. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 7.40/7.60 21. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) = (e0)) ### TransEq 18 19 20 % 7.40/7.60 22. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.40/7.60 23. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.40/7.60 24. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 7.40/7.60 25. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) = (e0)) ### TransEq 22 23 24 % 7.40/7.60 26. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.40/7.60 27. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.40/7.60 28. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 7.40/7.60 29. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) = (e0)) ### TransEq 26 27 28 % 7.40/7.60 30. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.40/7.60 31. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.40/7.60 32. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 7.40/7.60 33. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 30 31 32 % 7.40/7.60 34. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.40/7.60 35. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.40/7.60 36. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 7.40/7.60 37. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq-sym 34 35 36 % 7.40/7.60 38. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.40/7.60 39. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.40/7.60 40. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 7.40/7.60 41. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) = (e0)) ### TransEq 38 39 40 % 7.40/7.60 42. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.40/7.60 43. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.40/7.60 44. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 7.40/7.60 45. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 42 43 44 % 7.40/7.60 46. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.40/7.60 47. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.40/7.60 48. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.40/7.60 49. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 46 47 48 % 7.40/7.60 50. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.40/7.60 51. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.40/7.60 52. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 7.40/7.60 53. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq-sym 50 51 52 % 7.40/7.60 54. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 45 49 53 % 7.40/7.60 55. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 33 37 54 % 7.40/7.60 56. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 7.40/7.60 57. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 7.40/7.60 58. ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 56 57 13 % 7.40/7.60 59. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.40/7.60 60. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.40/7.60 61. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.40/7.60 62. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 59 60 61 % 7.40/7.60 63. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 7.40/7.60 64. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 7.40/7.60 65. ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 63 64 13 % 7.40/7.60 66. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.40/7.60 67. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.40/7.60 68. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 7.40/7.60 69. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq-sym 66 67 68 % 7.40/7.60 70. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 25 37 69 % 7.40/7.60 71. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 45 62 70 % 7.40/7.60 72. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.40/7.60 73. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.40/7.60 74. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 7.40/7.60 75. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 72 73 74 % 7.40/7.60 76. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 58 33 71 75 % 7.40/7.60 77. ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 76 % 7.40/7.60 78. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 7.40/7.60 79. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 7.40/7.60 80. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 7.40/7.60 81. ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 79 80 13 % 7.40/7.60 82. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 7.40/7.60 83. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 7.40/7.60 84. ((e3) != (e3)) ### NotEqual % 7.40/7.60 85. ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) = (e2)) ### TransEq 82 83 84 % 7.40/7.60 86. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 7.40/7.60 87. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 7.40/7.60 88. ((op (op (e1) (e1)) (op (e1) (e1))) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ### NotEqual 86 87 % 7.40/7.60 89. ((e0) != (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans-sym 88 13 % 7.40/7.60 90. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 7.40/7.60 91. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 7.40/7.60 92. ((e1) != (e1)) ### NotEqual % 7.40/7.60 93. ((op (op (e1) (e1)) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) ### NotEqual 91 92 % 7.40/7.60 94. ((e3) != (op (op (e1) (e1)) (e1))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 93 84 % 7.40/7.60 95. (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) = (e0)) ### DisjTree 89 90 94 % 7.40/7.60 96. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 58 33 95 75 % 7.40/7.60 97. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 7.40/7.60 98. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 7.40/7.60 99. ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) ### TransEq 97 98 84 % 7.40/7.60 100. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 37 69 % 7.40/7.60 101. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 99 62 100 % 7.40/7.60 102. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 33 101 75 % 7.40/7.60 103. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 85 96 102 % 7.40/7.60 104. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.40/7.60 105. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.40/7.60 106. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 7.40/7.60 107. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq 104 105 106 % 7.40/7.60 108. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 7.40/7.60 109. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 7.40/7.60 110. ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 108 109 13 % 7.40/7.60 111. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.60 112. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.60 113. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 7.40/7.60 114. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 111 112 113 % 7.40/7.60 115. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 7.40/7.60 116. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 7.40/7.60 117. ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 115 116 92 % 7.40/7.60 118. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.40/7.60 119. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.40/7.60 120. ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e2)) ### TransEq 118 119 84 % 7.40/7.60 121. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 114 117 120 % 7.40/7.60 122. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 7.40/7.60 123. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 7.40/7.60 124. ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 122 123 92 % 7.40/7.60 125. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.40/7.60 126. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.40/7.60 127. ((e2) != (e2)) ### NotEqual % 7.40/7.60 128. ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 125 126 127 % 7.40/7.60 129. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 7.40/7.60 130. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 7.40/7.60 131. ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e2)) ### TransEq-sym 129 130 13 % 7.40/7.60 132. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.40/7.60 133. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.40/7.60 134. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 7.40/7.60 135. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 132 133 134 % 7.40/7.60 136. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 124 128 131 135 % 7.40/7.60 137. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e3)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 58 33 136 75 % 7.40/7.60 138. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 121 137 102 % 7.40/7.60 139. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 77 103 107 138 % 7.40/7.60 140. ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 139 % 7.40/7.60 141. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 77 78 140 % 7.40/7.60 142. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### ConjTree 110 % 7.40/7.60 143. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.40/7.60 144. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.40/7.60 145. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 7.40/7.60 146. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq 143 144 145 % 7.40/7.60 147. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.40/7.60 148. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.40/7.60 149. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 7.40/7.60 150. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 7.40/7.60 151. ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 149 150 13 % 7.40/7.60 152. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 151 45 62 69 % 7.40/7.60 153. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 37 152 % 7.40/7.60 154. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 147 148 124 153 % 7.40/7.60 155. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 154 25 % 7.40/7.60 156. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.40/7.60 157. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.40/7.60 158. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 7.40/7.60 159. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 156 157 158 % 7.40/7.60 160. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ### DisjTree 155 128 131 159 % 7.40/7.60 161. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e2) (e1)) = (e3)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 58 33 160 75 % 7.40/7.60 162. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 161 102 % 7.40/7.60 163. ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 162 % 7.40/7.60 164. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.40/7.60 165. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 163 117 164 % 7.40/7.60 166. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 7.40/7.60 167. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 7.40/7.60 168. ((e2) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 166 167 127 % 7.40/7.60 169. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 142 81 165 168 % 7.40/7.60 170. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 141 169 % 7.40/7.60 171. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 33 153 75 % 7.40/7.60 172. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 171 % 7.40/7.60 173. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 9 10 170 172 % 7.40/7.60 174. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 69 % 7.40/7.60 175. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### Or 173 174 % 7.40/7.60 176. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.40/7.60 177. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.40/7.60 178. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.40/7.60 179. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.60 180. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.60 181. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 7.40/7.60 182. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 179 180 181 % 7.40/7.60 183. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.60 184. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.60 185. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.40/7.60 186. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq 183 184 185 % 7.40/7.60 187. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 25 182 95 186 % 7.40/7.60 188. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 187 101 % 7.40/7.60 189. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.40/7.60 190. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 142 188 117 189 % 7.40/7.60 191. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 177 178 190 153 % 7.40/7.60 192. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.40/7.60 193. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.40/7.60 194. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 7.40/7.60 195. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 7.40/7.60 196. ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 194 195 92 % 7.40/7.60 197. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.40/7.60 198. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 7.40/7.60 199. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 7.40/7.60 200. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 198 199 92 % 7.40/7.60 201. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 7.40/7.60 202. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 7.40/7.60 203. ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) = (e2)) ### TransEq-sym 201 202 92 % 7.40/7.60 204. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.40/7.60 205. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.40/7.60 206. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 7.40/7.60 207. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 204 205 206 % 7.40/7.60 208. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 7.40/7.60 209. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 7.40/7.60 210. ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ### TransEq 208 209 92 % 7.40/7.60 211. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 200 203 207 210 % 7.40/7.60 212. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 7.40/7.60 213. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 7.40/7.60 214. ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 212 213 92 % 7.40/7.60 215. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 214 128 101 % 7.40/7.60 216. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 7.40/7.60 217. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 7.40/7.60 218. ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ### TransEq 216 217 84 % 7.40/7.60 219. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 160 218 % 7.40/7.60 220. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e0) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 211 215 219 % 7.40/7.60 221. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (e1)) ### DisjTree 197 220 207 210 % 7.40/7.60 222. ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e0) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 37 221 % 7.40/7.60 223. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.40/7.60 224. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 222 117 223 % 7.40/7.60 225. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 224 168 % 7.40/7.60 226. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 196 225 % 7.40/7.60 227. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 192 193 226 172 % 7.40/7.60 228. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.40/7.60 229. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.40/7.60 230. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### ConjTree 14 % 7.40/7.60 231. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.40/7.60 232. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 136 101 % 7.40/7.60 233. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 71 203 107 232 % 7.40/7.60 234. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.40/7.60 235. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.40/7.60 236. ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 234 235 13 % 7.40/7.60 237. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.40/7.60 238. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.40/7.60 239. ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 237 238 92 % 7.40/7.60 240. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 7.40/7.60 241. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 7.40/7.60 242. ((e0) != (e1)) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) = (e1)) ### TransEq-sym 240 241 13 % 7.40/7.60 243. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.40/7.60 244. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.40/7.60 245. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 7.40/7.60 246. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 243 244 245 % 7.40/7.60 247. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.40/7.60 248. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.40/7.60 249. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 7.40/7.60 250. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 247 248 249 % 7.40/7.60 251. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 239 242 246 250 % 7.40/7.60 252. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 236 251 62 70 % 7.40/7.60 253. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.60 254. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.60 255. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 7.40/7.60 256. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 253 254 255 % 7.40/7.60 257. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 7.40/7.60 258. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 7.40/7.60 259. ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ### TransEq 257 258 127 % 7.40/7.60 260. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 259 37 69 % 7.40/7.60 261. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e2)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 251 62 260 % 7.40/7.60 262. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 256 124 261 % 7.40/7.60 263. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 252 262 107 232 % 7.40/7.60 264. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ### DisjTree 231 233 263 210 % 7.40/7.60 265. ((op (e1) (e0)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 264 % 7.40/7.60 266. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.40/7.60 267. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 265 117 266 % 7.40/7.61 268. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 7.40/7.61 269. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 7.40/7.61 270. ((e1) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 268 269 92 % 7.40/7.61 271. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 142 81 267 270 % 7.40/7.61 272. ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 230 71 155 271 % 7.40/7.61 273. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.40/7.61 274. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 256 215 219 % 7.40/7.61 275. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.61 276. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.61 277. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 7.40/7.61 278. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq 275 276 277 % 7.40/7.61 279. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 7.40/7.61 280. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 7.40/7.61 281. ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e1)) ### TransEq 279 280 84 % 7.40/7.61 282. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 239 281 246 250 % 7.40/7.61 283. (((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 (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 96 282 % 7.40/7.61 284. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.40/7.61 285. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.40/7.61 286. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 7.40/7.61 287. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 284 285 286 % 7.40/7.61 288. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 200 203 283 287 % 7.40/7.61 289. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (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)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 259 55 288 % 7.40/7.61 290. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 289 117 120 % 7.40/7.61 291. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 290 168 % 7.40/7.61 292. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 256 124 291 % 7.40/7.61 293. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 7.40/7.61 294. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 7.40/7.61 295. ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e1)) ### TransEq 293 294 127 % 7.40/7.61 296. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e2)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e2) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (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)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 292 295 219 % 7.40/7.61 297. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 128 281 % 7.40/7.61 298. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e0) != (e3)) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 262 297 219 % 7.40/7.61 299. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 188 278 296 298 % 7.40/7.61 300. (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (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)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (e1)) ### DisjTree 273 274 299 287 % 7.40/7.61 301. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.40/7.61 302. ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 300 117 301 % 7.40/7.61 303. ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (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)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 302 168 % 7.40/7.61 304. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.40/7.61 305. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 114 117 120 % 7.40/7.61 306. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 305 168 % 7.40/7.61 307. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 306 160 218 % 7.40/7.61 308. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 289 215 307 % 7.40/7.61 309. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 33 187 75 % 7.40/7.61 310. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 306 309 102 % 7.40/7.61 311. ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 310 % 7.40/7.61 312. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 262 295 307 % 7.40/7.61 313. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e0) != (e3)) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 256 297 307 % 7.40/7.61 314. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.61 315. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.40/7.61 316. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 7.40/7.61 317. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 314 315 316 % 7.40/7.61 318. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 317 305 270 % 7.40/7.61 319. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 318 96 281 % 7.40/7.61 320. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.40/7.61 321. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.40/7.61 322. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 7.40/7.61 323. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq-sym 320 321 322 % 7.40/7.61 324. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.40/7.61 325. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.40/7.61 326. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 7.40/7.61 327. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 324 325 326 % 7.40/7.61 328. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.40/7.61 329. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.40/7.61 330. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 7.40/7.61 331. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 328 329 330 % 7.40/7.61 332. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 69 287 135 331 % 7.40/7.61 333. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 120 281 327 332 % 7.40/7.61 334. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 242 62 333 % 7.40/7.61 335. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 124 128 323 334 % 7.40/7.61 336. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 335 282 % 7.40/7.61 337. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.40/7.61 338. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.40/7.61 339. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 7.40/7.61 340. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq 337 338 339 % 7.40/7.61 341. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 313 319 336 340 % 7.40/7.61 342. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) ((e1) != (e2)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ### DisjTree 311 278 312 341 % 7.40/7.61 343. ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (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)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (e1)) ### DisjTree 304 308 342 210 % 7.40/7.61 344. ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 37 343 % 7.40/7.61 345. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.40/7.61 346. ((op (e3) (e0)) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (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)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 344 117 345 % 7.40/7.61 347. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 142 81 346 270 % 7.40/7.61 348. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 303 124 347 % 7.40/7.61 349. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 230 17 272 348 % 7.40/7.61 350. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((e1) != (e2)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 228 229 349 153 % 7.40/7.61 351. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 176 191 227 350 % 7.40/7.61 352. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 351 100 % 7.40/7.61 353. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ### Or 175 352 % 7.40/7.61 354. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ### Or 353 25 % 7.40/7.61 355. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### ConjTree 354 % 7.44/7.61 356. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 7.44/7.61 357. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.61 358. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ### Or 356 357 % 7.44/7.61 359. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ### ConjTree 358 % 7.44/7.61 360. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.61 361. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.44/7.61 362. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.44/7.61 363. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 7.44/7.61 364. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 361 362 363 % 7.44/7.61 365. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 7.44/7.61 366. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 7.44/7.61 367. ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 365 366 92 % 7.44/7.61 368. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.44/7.61 369. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.44/7.61 370. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 7.44/7.61 371. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 368 369 370 % 7.44/7.61 372. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 7.44/7.61 373. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 7.44/7.61 374. ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 372 373 13 % 7.44/7.61 375. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 7.44/7.61 376. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 7.44/7.61 377. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 7.44/7.61 378. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 375 376 377 % 7.44/7.61 379. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 7.44/7.61 380. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.44/7.61 381. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.44/7.61 382. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 7.44/7.61 383. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq 380 381 382 % 7.44/7.61 384. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### DisjTree 49 379 323 383 % 7.44/7.61 385. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 374 378 131 384 % 7.44/7.61 386. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 7.44/7.61 387. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 7.44/7.61 388. ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 386 387 13 % 7.44/7.61 389. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 388 33 95 75 % 7.44/7.62 390. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 85 389 102 % 7.44/7.62 391. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 390 323 340 % 7.44/7.62 392. ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 385 25 55 391 % 7.44/7.62 393. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 200 392 120 % 7.44/7.62 394. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 393 168 % 7.44/7.62 395. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 371 394 % 7.44/7.62 396. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 364 395 % 7.44/7.62 397. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 58 33 131 75 % 7.44/7.62 398. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 397 % 7.44/7.62 399. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 360 396 398 172 % 7.44/7.62 400. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.62 401. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.62 402. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.44/7.62 403. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.44/7.62 404. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 7.44/7.62 405. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 402 403 404 % 7.44/7.62 406. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 371 % 7.44/7.62 407. ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 390 % 7.44/7.62 408. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 200 407 120 % 7.44/7.62 409. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 408 168 % 7.44/7.62 410. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 406 409 % 7.44/7.62 411. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 405 364 410 % 7.44/7.62 412. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 256 124 311 % 7.44/7.62 413. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 364 412 % 7.44/7.62 414. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (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 (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 401 411 413 172 % 7.44/7.62 415. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.62 416. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.44/7.62 417. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### DisjTree 49 207 323 383 % 7.44/7.62 418. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 416 378 131 417 % 7.44/7.62 419. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 418 259 55 211 % 7.44/7.62 420. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e1) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 419 117 120 % 7.44/7.62 421. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 420 168 % 7.44/7.62 422. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 256 124 421 % 7.44/7.62 423. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 196 422 % 7.44/7.62 424. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (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 (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 415 411 423 172 % 7.44/7.62 425. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.62 426. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 408 270 % 7.44/7.62 427. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 256 406 426 % 7.44/7.62 428. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (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)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 405 364 292 % 7.44/7.62 429. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 425 427 428 172 % 7.44/7.62 430. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 400 414 424 429 % 7.44/7.62 431. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 399 430 % 7.44/7.62 432. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### Or 431 14 % 7.44/7.62 433. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 432 % 7.44/7.62 434. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.62 435. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.62 436. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 7.44/7.62 437. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 7.44/7.62 438. ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 436 437 127 % 7.44/7.62 439. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.44/7.62 440. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.44/7.62 441. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 7.44/7.62 442. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 439 440 441 % 7.44/7.62 443. (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 442 % 7.44/7.62 444. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 200 438 443 % 7.44/7.62 445. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.44/7.62 446. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.44/7.62 447. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 7.44/7.62 448. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq-sym 445 446 447 % 7.44/7.62 449. (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 448 % 7.44/7.62 450. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 85 309 449 % 7.44/7.62 451. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.44/7.62 452. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.44/7.62 453. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 7.44/7.62 454. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq 451 452 453 % 7.44/7.62 455. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.44/7.62 456. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.44/7.62 457. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.44/7.62 458. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 455 456 457 % 7.44/7.62 459. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.44/7.62 460. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.44/7.62 461. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 7.44/7.62 462. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 459 460 461 % 7.44/7.62 463. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.44/7.62 464. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.44/7.62 465. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 7.44/7.62 466. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 463 464 465 % 7.44/7.62 467. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ### DisjTree 458 462 466 448 % 7.44/7.62 468. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 236 45 467 69 % 7.44/7.62 469. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.44/7.62 470. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 438 466 131 469 % 7.44/7.62 471. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 388 33 470 75 % 7.44/7.62 472. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 468 471 % 7.44/7.62 473. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 450 107 472 % 7.44/7.62 474. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e3) (e0)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 473 % 7.44/7.62 475. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 200 474 120 % 7.44/7.62 476. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 444 475 % 7.44/7.62 477. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.62 478. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.62 479. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 114 438 443 % 7.44/7.62 480. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 45 467 53 % 7.44/7.62 481. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 388 33 37 480 % 7.44/7.62 482. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.44/7.62 483. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 438 466 364 482 % 7.44/7.62 484. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 481 483 % 7.44/7.62 485. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 85 107 484 % 7.44/7.62 486. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 85 107 472 % 7.44/7.62 487. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 485 486 % 7.44/7.62 488. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 114 487 442 % 7.44/7.62 489. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 479 488 % 7.44/7.62 490. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 114 117 442 % 7.44/7.62 491. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.44/7.62 492. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.44/7.62 493. ((e0) != (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e1)) ### TransEq-sym 491 492 13 % 7.44/7.62 494. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.44/7.62 495. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.44/7.62 496. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 7.44/7.62 497. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 494 495 496 % 7.44/7.62 498. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 69 497 340 331 % 7.44/7.62 499. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 45 62 498 % 7.44/7.62 500. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 490 295 493 499 % 7.44/7.62 501. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 33 500 480 % 7.44/7.62 502. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 114 438 442 % 7.44/7.62 503. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.44/7.62 504. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 502 466 323 503 % 7.44/7.62 505. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 85 501 504 % 7.44/7.62 506. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 85 505 340 % 7.44/7.62 507. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 506 168 % 7.44/7.62 508. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 489 507 % 7.44/7.63 509. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 114 117 442 % 7.44/7.63 510. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 7.44/7.63 511. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 7.44/7.63 512. ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ### TransEq 510 511 84 % 7.44/7.63 513. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 7.44/7.63 514. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 7.44/7.63 515. ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e0)) ### TransEq 513 514 92 % 7.44/7.63 516. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 512 37 210 % 7.44/7.63 517. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 388 33 516 480 % 7.44/7.63 518. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 256 517 483 % 7.44/7.63 519. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 367 182 515 518 % 7.44/7.63 520. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 512 519 171 % 7.44/7.63 521. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 7.44/7.63 522. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 7.44/7.63 523. ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e1)) ### TransEq 521 522 84 % 7.44/7.63 524. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 114 520 523 % 7.44/7.63 525. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 524 479 239 % 7.44/7.63 526. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.44/7.63 527. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.44/7.63 528. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 7.44/7.63 529. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 526 527 528 % 7.44/7.63 530. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.44/7.63 531. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.44/7.63 532. ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) = (e1)) ### TransEq 530 531 127 % 7.44/7.63 533. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.44/7.63 534. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 438 466 532 533 % 7.44/7.63 535. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 75 497 340 331 % 7.44/7.63 536. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 117 529 534 535 % 7.44/7.63 537. 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(((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 478 508 509 543 % 7.44/7.63 545. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.63 546. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 317 490 168 % 7.44/7.63 547. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 196 546 % 7.44/7.63 548. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.44/7.63 549. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.44/7.63 550. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.44/7.63 551. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 548 549 550 % 7.44/7.63 552. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 547 295 551 535 % 7.44/7.63 553. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 388 33 500 552 % 7.44/7.63 554. 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((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 556 168 % 7.44/7.63 558. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 541 557 % 7.44/7.63 559. ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 196 558 % 7.44/7.63 560. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 117 295 551 497 % 7.44/7.63 561. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.44/7.63 562. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.44/7.63 563. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 7.44/7.63 564. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 561 562 563 % 7.44/7.63 565. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.44/7.63 566. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.44/7.63 567. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 7.44/7.63 568. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 565 566 567 % 7.44/7.63 569. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ### DisjTree 458 564 568 327 % 7.44/7.63 570. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 33 131 53 % 7.44/7.63 571. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (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) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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 (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 151 569 417 570 % 7.44/7.63 572. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.44/7.63 573. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 438 466 571 572 % 7.44/7.63 574. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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 (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 85 560 573 % 7.44/7.63 575. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 367 214 515 574 % 7.44/7.63 576. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 367 214 207 210 % 7.44/7.63 577. 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(((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 545 559 547 581 % 7.44/7.63 583. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.44/7.63 584. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 317 502 270 % 7.44/7.63 585. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 295 483 % 7.44/7.63 586. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.44/7.63 587. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.44/7.63 588. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 7.44/7.63 589. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e1)) = (e2)) ### TransEq 586 587 588 % 7.44/7.63 590. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.44/7.63 591. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.44/7.63 592. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 7.44/7.63 593. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 590 591 592 % 7.44/7.63 594. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.44/7.63 595. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.44/7.63 596. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 7.44/7.63 597. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq-sym 594 595 596 % 7.44/7.63 598. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ### DisjTree 53 593 135 597 % 7.44/7.63 599. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 242 49 598 % 7.44/7.63 600. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.44/7.63 601. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.44/7.63 602. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 7.44/7.63 603. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 600 601 602 % 7.44/7.63 604. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 7.44/7.63 605. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 7.44/7.63 606. ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e1)) ### TransEq 604 605 84 % 7.44/7.63 607. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 239 599 603 606 % 7.44/7.63 608. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 589 107 607 % 7.44/7.63 609. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 117 585 608 593 % 7.44/7.63 610. ((e1) != (e3)) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 609 483 % 7.44/7.63 611. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 85 107 610 % 7.44/7.63 612. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.44/7.63 613. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 75 593 612 597 % 7.44/7.63 614. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 512 611 613 % 7.44/7.63 615. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 200 614 120 % 7.44/7.63 616. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e1) (e1)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 615 270 % 7.44/7.63 617. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 584 616 % 7.44/7.63 618. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 7.44/7.63 619. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 75 287 340 331 % 7.44/7.63 620. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.44/7.63 621. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.44/7.63 622. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 7.44/7.63 623. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 620 621 622 % 7.44/7.63 624. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 69 623 598 331 % 7.44/7.63 625. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ### DisjTree 618 613 619 624 % 7.44/7.63 626. 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(((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 367 214 515 287 % 7.44/7.63 628. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 25 627 613 % 7.44/7.63 629. 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(((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 628 584 239 % 7.44/7.63 631. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 583 626 629 630 % 7.44/7.63 632. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 477 544 582 631 % 7.44/7.63 633. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.44/7.63 634. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.44/7.63 635. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 7.44/7.63 636. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 633 634 635 % 7.44/7.63 637. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 114 636 442 % 7.44/7.63 638. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 632 637 % 7.44/7.63 639. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 638 383 331 % 7.46/7.64 640. ((op (e0) (e3)) = (e2)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 639 168 % 7.46/7.64 641. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 476 640 % 7.46/7.64 642. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 7.46/7.64 643. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 200 182 515 642 % 7.46/7.64 644. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 128 449 % 7.46/7.64 645. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.64 646. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.64 647. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 7.46/7.64 648. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq 645 646 647 % 7.46/7.64 649. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 648 128 449 % 7.46/7.64 650. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 644 638 649 331 % 7.46/7.64 651. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 187 218 % 7.46/7.64 652. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 58 33 651 75 % 7.46/7.64 653. ((op (e2) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 450 650 652 % 7.46/7.64 654. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 25 643 653 % 7.46/7.64 655. ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 654 117 443 % 7.46/7.64 656. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 450 468 652 % 7.46/7.64 657. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 643 656 % 7.46/7.64 658. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 657 117 120 % 7.46/7.64 659. ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 655 124 658 % 7.46/7.64 660. ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 435 641 659 172 % 7.46/7.64 661. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.64 662. ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 196 640 % 7.46/7.64 663. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.64 664. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.46/7.64 665. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.46/7.64 666. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 7.46/7.64 667. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 664 665 666 % 7.46/7.64 668. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.64 669. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.46/7.64 670. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.46/7.64 671. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 7.46/7.64 672. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq 669 670 671 % 7.46/7.64 673. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.46/7.64 674. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.46/7.64 675. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 7.46/7.64 676. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq 673 674 675 % 7.46/7.64 677. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 7.46/7.64 678. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 7.46/7.64 679. ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) = (e0)) ### TransEq 677 678 84 % 7.46/7.64 680. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 676 186 679 597 % 7.46/7.64 681. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.46/7.64 682. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.46/7.64 683. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 7.46/7.64 684. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq 681 682 683 % 7.46/7.64 685. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 187 448 % 7.46/7.64 686. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 680 685 331 % 7.46/7.64 687. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.64 688. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 680 685 331 % 7.46/7.64 689. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.64 690. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.64 691. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 7.46/7.64 692. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 689 690 691 % 7.46/7.64 693. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 95 448 % 7.46/7.64 694. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 680 693 331 % 7.46/7.64 695. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 7.46/7.64 696. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 7.46/7.64 697. ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 695 696 13 % 7.46/7.64 698. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 7.46/7.64 699. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 7.46/7.64 700. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 7.46/7.64 701. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 698 699 700 % 7.46/7.64 702. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.46/7.64 703. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.46/7.64 704. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 7.46/7.64 705. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 702 703 704 % 7.46/7.64 706. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.46/7.64 707. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 7.46/7.64 708. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.46/7.64 709. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq 706 707 708 % 7.46/7.64 710. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 25 529 705 709 % 7.46/7.64 711. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.64 712. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.64 713. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 7.46/7.64 714. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 711 712 713 % 7.46/7.64 715. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 7.46/7.64 716. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 75 715 454 331 % 7.46/7.64 717. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 710 714 716 186 % 7.46/7.64 718. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.64 719. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.64 720. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 7.46/7.64 721. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 718 719 720 % 7.46/7.64 722. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 7.46/7.64 723. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 7.46/7.64 724. ((op (op (e1) (e1)) (op (e1) (e1))) != (op (e3) (e3))) ((op (e1) (e1)) = (e3)) ### NotEqual 722 723 % 7.46/7.64 725. ((e0) != (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans-sym 724 13 % 7.46/7.64 726. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 7.46/7.64 727. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 7.46/7.64 728. ((op (op (e1) (e1)) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e3)) ### NotEqual 727 92 % 7.46/7.64 729. ((e2) != (op (op (e1) (e1)) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 728 127 % 7.46/7.64 730. (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ((op (e3) (e3)) = (e0)) ### DisjTree 725 726 729 % 7.46/7.64 731. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e3)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 25 692 721 730 % 7.46/7.64 732. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ### DisjTree 697 701 717 731 % 7.46/7.64 733. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 648 732 448 % 7.46/7.64 734. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 680 733 331 % 7.46/7.64 735. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 694 295 734 % 7.46/7.64 736. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 95 281 % 7.46/7.64 737. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 680 736 331 % 7.46/7.64 738. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.46/7.64 739. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.46/7.64 740. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 7.46/7.64 741. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 738 739 740 % 7.46/7.64 742. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 25 462 705 709 % 7.46/7.64 743. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 742 692 721 648 % 7.46/7.64 744. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 648 743 281 % 7.46/7.64 745. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 680 744 331 % 7.46/7.64 746. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 737 741 745 % 7.46/7.64 747. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 688 692 735 746 % 7.46/7.64 748. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 196 747 % 7.46/7.64 749. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 7.46/7.64 750. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 7.46/7.64 751. ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ### TransEq 749 750 84 % 7.46/7.64 752. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.46/7.64 753. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.46/7.64 754. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 7.46/7.64 755. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 752 753 754 % 7.46/7.64 756. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ### DisjTree 697 701 535 498 % 7.46/7.64 757. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 755 714 551 756 % 7.46/7.64 758. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 7.46/7.64 759. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 701 758 454 331 % 7.46/7.64 760. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 759 741 745 % 7.46/7.64 761. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 688 757 735 760 % 7.46/7.64 762. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 7.46/7.64 763. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 761 757 207 762 % 7.46/7.64 764. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 751 17 196 763 % 7.46/7.64 765. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 687 748 124 764 % 7.46/7.64 766. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 7.46/7.64 767. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 7.46/7.64 768. ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 766 767 13 % 7.46/7.64 769. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.46/7.64 770. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.46/7.64 771. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 7.46/7.64 772. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 769 770 771 % 7.46/7.64 773. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 75 593 772 597 % 7.46/7.64 774. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e3)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 710 714 454 730 % 7.46/7.64 775. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ### DisjTree 768 773 717 774 % 7.46/7.64 776. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (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 (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 124 775 493 593 % 7.46/7.64 777. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 648 776 218 % 7.46/7.64 778. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (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) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 680 777 331 % 7.46/7.64 779. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 741 778 % 7.46/7.65 780. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 759 107 779 % 7.46/7.65 781. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 7.46/7.65 782. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 69 781 598 331 % 7.46/7.65 783. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ### DisjTree 768 701 619 782 % 7.46/7.65 784. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 783 25 37 613 % 7.46/7.65 785. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 780 784 % 7.46/7.65 786. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 668 686 765 785 % 7.46/7.65 787. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 7.46/7.65 788. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 7.46/7.65 789. ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e0)) ### TransEq 787 788 127 % 7.46/7.65 790. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.65 791. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.65 792. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 791 688 124 151 % 7.46/7.65 793. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.65 794. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 151 743 564 606 % 7.46/7.65 795. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 648 794 218 % 7.46/7.65 796. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 680 795 331 % 7.46/7.65 797. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 694 741 796 % 7.46/7.65 798. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 793 797 124 151 % 7.46/7.65 799. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.65 800. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 759 107 779 % 7.46/7.65 801. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 800 25 37 613 % 7.46/7.65 802. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 751 17 801 784 % 7.46/7.65 803. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 799 802 124 151 % 7.46/7.65 804. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 790 792 798 803 % 7.46/7.65 805. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 110 786 789 804 % 7.46/7.65 806. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 805 679 % 7.46/7.65 807. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 200 438 442 % 7.46/7.65 808. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### DisjTree 806 81 807 168 % 7.46/7.65 809. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 196 808 % 7.46/7.65 810. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 755 714 493 499 % 7.46/7.65 811. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 7.46/7.65 812. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 200 810 207 811 % 7.46/7.65 813. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 812 438 442 % 7.46/7.65 814. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 813 168 % 7.46/7.65 815. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 196 814 % 7.46/7.65 816. ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (e1)) ### DisjTree 663 809 124 815 % 7.46/7.65 817. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.46/7.65 818. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e1)) = (e3)) ((op (e0) (e0)) != (e1)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ### DisjTree 816 128 131 817 % 7.46/7.65 819. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (e1)) ((op (e2) (e1)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 33 818 75 % 7.46/7.65 820. ((op (e3) (e1)) = (e2)) ((op (e2) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 638 819 218 % 7.46/7.65 821. ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 256 650 820 % 7.46/7.65 822. 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(((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 821 % 7.46/7.65 823. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 114 388 120 % 7.46/7.65 824. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 823 33 500 75 % 7.46/7.65 825. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 85 824 504 % 7.46/7.65 826. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 576 85 825 340 % 7.46/7.65 827. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.46/7.65 828. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e2) (e1)) = (e3)) ((op (e0) (e0)) != (e1)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ### DisjTree 816 128 323 827 % 7.46/7.65 829. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (e1)) ((op (e2) (e1)) = (e3)) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 58 33 828 75 % 7.46/7.65 830. ((op (e2) (e0)) = (e1)) ((op (e1) (e2)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 826 829 448 % 7.46/7.66 831. ((op (e0) (e3)) = (e2)) ((op (e0) (e2)) = (e3)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e3)) = (e0)) ### DisjTree 821 203 830 340 % 7.46/7.66 832. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 7.46/7.66 833. ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) ((op (e0) (e2)) = (e3)) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 200 831 207 832 % 7.46/7.66 834. ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e2)) = (e3)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 833 % 7.46/7.66 835. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) ((op (e0) (e3)) = (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 834 117 120 % 7.46/7.66 836. ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 835 168 % 7.46/7.66 837. ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 822 124 836 % 7.46/7.66 838. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 196 837 % 7.46/7.66 839. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (e1)) ### DisjTree 661 662 838 172 % 7.46/7.66 840. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) != (e2)) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 55 613 % 7.46/7.66 841. ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 434 660 839 840 % 7.46/7.66 842. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.66 843. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.66 844. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 200 636 443 % 7.46/7.66 845. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.46/7.66 846. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.46/7.66 847. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.46/7.66 848. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 845 846 847 % 7.46/7.66 849. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 509 848 448 % 7.46/7.66 850. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 25 643 171 % 7.46/7.66 851. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 850 636 523 % 7.46/7.66 852. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) = (e0)) ((op (e3) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 843 844 849 851 % 7.46/7.66 853. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.46/7.66 854. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.46/7.66 855. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 7.46/7.66 856. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 853 854 855 % 7.46/7.66 857. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 856 168 % 7.46/7.66 858. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 196 857 % 7.46/7.66 859. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 856 270 % 7.46/7.66 860. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 842 852 858 859 % 7.46/7.66 861. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ### Or 841 860 % 7.46/7.66 862. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ### Or 861 638 % 7.46/7.66 863. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### Or 862 110 % 7.46/7.66 864. ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 863 % 7.46/7.66 865. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 355 359 433 864 % 7.46/7.66 866. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 865 % 7.46/7.66 867. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ### ConjTree 25 % 7.46/7.66 868. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) ### ConjTree 155 % 7.46/7.66 869. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.66 870. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 85 95 448 % 7.46/7.66 871. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 870 741 651 % 7.46/7.66 872. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 871 438 442 % 7.46/7.66 873. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.66 874. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 801 81 807 270 % 7.46/7.66 875. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 874 625 % 7.46/7.66 876. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 502 776 218 % 7.46/7.66 877. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 644 876 % 7.46/7.66 878. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 759 107 877 % 7.46/7.67 879. ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 878 438 523 % 7.46/7.67 880. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) ### DisjTree 879 25 37 613 % 7.46/7.67 881. 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(((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### DisjTree 806 81 880 270 % 7.46/7.67 882. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 881 784 % 7.46/7.67 883. (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 873 875 124 882 % 7.46/7.67 884. ((op (e0) (e3)) != (e0)) ((op (e2) (e3)) != (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 869 872 816 883 % 7.46/7.67 885. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.67 886. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.67 887. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 644 651 % 7.46/7.67 888. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 759 107 887 % 7.46/7.67 889. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 786 888 438 442 % 7.46/7.67 890. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 7.46/7.67 891. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ### DisjTree 890 701 535 498 % 7.46/7.67 892. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 625 623 891 606 % 7.46/7.67 893. ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 889 892 % 7.46/7.67 894. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((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)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 686 888 438 523 % 7.46/7.67 895. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 504 187 218 % 7.46/7.67 896. 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(((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 759 644 895 % 7.46/7.67 897. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 759 896 340 % 7.46/7.67 898. ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 897 438 442 % 7.46/7.67 899. 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(((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 786 81 898 168 % 7.46/7.67 900. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e0)) = (e0)) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 894 899 % 7.46/7.67 901. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (e1)) ### DisjTree 886 893 124 900 % 7.46/7.67 902. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.67 903. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 196 892 % 7.46/7.67 904. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 7.46/7.67 905. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 807 757 207 904 % 7.46/7.67 906. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 763 81 905 168 % 7.46/7.67 907. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 196 906 % 7.46/7.67 908. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 902 903 124 907 % 7.46/7.67 909. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.67 910. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 786 81 879 270 % 7.46/7.67 911. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 910 784 % 7.46/7.67 912. (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 909 875 124 911 % 7.46/7.67 913. ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 885 901 908 912 % 7.46/7.67 914. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.67 915. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e1) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 804 200 438 442 % 7.46/7.67 916. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 914 915 124 151 % 7.46/7.67 917. ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) != (e0)) ### DisjTree 884 913 789 916 % 7.46/7.67 918. ((op (e0) (e3)) != (e0)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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 (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ### Or 917 679 % 7.46/7.67 919. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.67 920. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 686 114 438 442 % 7.46/7.67 921. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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 (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### Or 806 680 % 7.46/7.67 922. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### DisjTree 921 81 502 168 % 7.46/7.68 923. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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 (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 17 196 922 % 7.46/7.68 924. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 680 81 502 270 % 7.46/7.68 925. ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 919 920 923 924 % 7.46/7.68 926. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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 (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e3)) != (e0)) ### Or 918 925 % 7.46/7.68 927. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### Or 926 921 % 7.46/7.68 928. ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (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 (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ### ConjTree 927 % 7.46/7.68 929. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 868 359 406 928 % 7.46/7.68 930. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (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 (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 929 % 7.46/7.68 931. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.68 932. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.46/7.68 933. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 230 70 124 120 % 7.46/7.68 934. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 58 33 933 53 % 7.46/7.68 935. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 931 932 934 523 % 7.46/7.68 936. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 935 25 % 7.46/7.68 937. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ### ConjTree 936 % 7.46/7.68 938. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.68 939. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.68 940. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.46/7.68 941. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.46/7.68 942. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 7.46/7.68 943. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq 940 941 942 % 7.46/7.68 944. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.46/7.68 945. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.46/7.68 946. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.46/7.68 947. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq 944 945 946 % 7.46/7.68 948. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 7.46/7.68 949. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 7.46/7.68 950. ((e0) != (e2)) ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) = (e2)) ### TransEq-sym 948 949 13 % 7.46/7.68 951. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 947 721 568 950 % 7.46/7.68 952. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.46/7.68 953. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.46/7.68 954. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 7.46/7.68 955. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq-sym 952 953 954 % 7.46/7.68 956. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.68 957. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.68 958. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 7.46/7.68 959. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 956 957 958 % 7.46/7.68 960. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.68 961. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.68 962. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 7.46/7.68 963. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq 960 961 962 % 7.46/7.68 964. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 959 182 405 963 % 7.46/7.68 965. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.46/7.68 966. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 7.46/7.68 967. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 7.46/7.68 968. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 965 966 967 % 7.46/7.68 969. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.46/7.68 970. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.46/7.68 971. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 7.46/7.68 972. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 969 970 971 % 7.46/7.68 973. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 964 529 968 972 % 7.46/7.68 974. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 955 462 705 973 % 7.46/7.68 975. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.46/7.68 976. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.46/7.68 977. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 7.46/7.68 978. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) = (e2)) ### TransEq-sym 975 976 977 % 7.46/7.68 979. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 974 454 978 731 % 7.46/7.68 980. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 943 951 323 979 % 7.46/7.68 981. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 7.46/7.68 982. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 7.46/7.68 983. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 7.46/7.68 984. ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 982 983 92 % 7.46/7.68 985. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 943 951 323 984 % 7.46/7.68 986. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 980 182 981 985 % 7.46/7.68 987. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 7.46/7.68 988. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 7.46/7.68 989. ((op (op (e1) (e1)) (op (e1) (e1))) != (op (e0) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 987 988 % 7.46/7.68 990. ((e2) != (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 989 127 % 7.46/7.68 991. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 7.46/7.68 992. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 7.46/7.68 993. ((op (op (e1) (e1)) (e1)) != (op (e0) (e1))) ((op (e1) (e1)) = (e0)) ### NotEqual 992 92 % 7.46/7.68 994. ((e3) != (op (op (e1) (e1)) (e1))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 993 84 % 7.46/7.68 995. (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ((op (e0) (e0)) = (e2)) ### DisjTree 990 991 994 % 7.46/7.68 996. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 995 512 742 281 % 7.46/7.68 997. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.68 998. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.68 999. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 7.46/7.68 1000. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 997 998 999 % 7.46/7.68 1001. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) = (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 996 1000 951 730 % 7.46/7.68 1002. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 951 978 1001 % 7.46/7.68 1003. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 7.46/7.68 1004. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 7.46/7.68 1005. ((e0) != (e1)) ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) = (e0)) ### TransEq 1003 1004 92 % 7.46/7.68 1006. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 523 1002 564 1005 % 7.46/7.68 1007. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 751 81 385 270 % 7.46/7.68 1008. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 939 986 1006 1007 % 7.46/7.68 1009. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.68 1010. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.68 1011. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1010 980 58 523 % 7.46/7.68 1012. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.68 1013. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 978 % 7.46/7.68 1014. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e3)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 58 774 532 593 % 7.46/7.68 1015. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 730 1014 218 % 7.46/7.68 1016. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 951 1013 1015 % 7.46/7.68 1017. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 951 323 1016 % 7.46/7.68 1018. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1012 1017 58 523 % 7.46/7.68 1019. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1009 1011 1006 1018 % 7.46/7.68 1020. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 7.46/7.68 1021. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 7.46/7.68 1022. ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e0)) ### TransEq 1020 1021 84 % 7.46/7.68 1023. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 14 1008 1019 1022 % 7.46/7.68 1024. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1023 951 % 7.46/7.68 1025. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### DisjTree 1024 367 406 120 % 7.46/7.68 1026. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1008 65 124 120 % 7.46/7.68 1027. ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (e1)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 938 1025 1026 523 % 7.46/7.68 1028. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.68 1029. ((op (e2) (e0)) = (e0)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1028 1025 58 523 % 7.46/7.68 1030. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 570 1027 1029 1022 % 7.46/7.68 1031. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 7.46/7.68 1032. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 951 256 124 120 % 7.46/7.68 1033. ((op (e1) (e1)) = (e2)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1031 1025 1032 523 % 7.46/7.68 1034. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e1)) ### Or 1030 1033 % 7.46/7.68 1035. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### ConjTree 1034 % 7.46/7.68 1036. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 937 359 1035 443 % 7.46/7.69 1037. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 1036 % 7.46/7.69 1038. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.46/7.69 1039. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.46/7.69 1040. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 7.46/7.69 1041. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 1038 1039 1040 % 7.46/7.69 1042. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 1041 % 7.46/7.69 1043. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 1041 % 7.46/7.69 1044. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 692 % 7.46/7.69 1045. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom % 7.46/7.69 1046. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.69 1047. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) = (e0)) ### Or 1045 1046 % 7.46/7.69 1048. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e2)) ### ConjTree 1047 % 7.46/7.69 1049. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.69 1050. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.69 1051. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 7.46/7.69 1052. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 7.46/7.69 1053. ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 1051 1052 13 % 7.46/7.69 1054. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.46/7.69 1055. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.46/7.69 1056. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 7.46/7.69 1057. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 1054 1055 1056 % 7.46/7.69 1058. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 7.46/7.69 1059. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 7.46/7.69 1060. ((op (op (e2) (e2)) (op (e2) (e2))) != (op (e1) (e1))) ((op (e2) (e2)) = (e1)) ### NotEqual 1058 1059 % 7.46/7.69 1061. ((e0) != (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e1) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans-sym 1060 13 % 7.46/7.69 1062. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.46/7.69 1063. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 7.46/7.69 1064. ((op (op (e2) (e2)) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e1)) ### NotEqual 1063 127 % 7.46/7.69 1065. ((e3) != (op (op (e2) (e2)) (e2))) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans-sym 1064 84 % 7.46/7.69 1066. (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) = (e0)) ### DisjTree 1061 1062 1065 % 7.46/7.69 1067. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.46/7.69 1068. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.46/7.69 1069. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 7.46/7.69 1070. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) = (e0)) ### TransEq 1067 1068 1069 % 7.46/7.69 1071. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 1070 603 371 848 % 7.46/7.69 1072. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1053 1057 1066 1071 % 7.46/7.69 1073. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 1072 448 % 7.46/7.69 1074. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1073 331 % 7.46/7.69 1075. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1074 200 438 443 % 7.46/7.69 1076. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.69 1077. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 7.46/7.69 1078. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 7.46/7.69 1079. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 1076 1077 1078 % 7.46/7.69 1080. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.46/7.69 1081. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.46/7.69 1082. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.46/7.69 1083. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 1080 1081 1082 % 7.46/7.69 1084. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 236 1079 1083 974 % 7.46/7.69 1085. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.46/7.69 1086. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.46/7.69 1087. ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ### TransEq 1085 1086 84 % 7.46/7.69 1088. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 114 636 442 % 7.46/7.69 1089. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.46/7.69 1090. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.46/7.69 1091. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=) % 7.46/7.69 1092. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq-sym 1089 1090 1091 % 7.46/7.69 1093. (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 1092 % 7.46/7.69 1094. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 374 648 1088 1093 % 7.46/7.69 1095. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 7.46/7.69 1096. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 7.46/7.69 1097. ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 1095 1096 127 % 7.46/7.69 1098. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.46/7.69 1099. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 1071 128 323 1098 % 7.46/7.69 1100. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1053 1057 1066 1099 % 7.46/7.69 1101. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 648 1100 449 % 7.46/7.69 1102. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 1094 1101 331 % 7.46/7.69 1103. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.69 1104. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.69 1105. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.69 1106. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1105 367 789 1084 % 7.46/7.69 1107. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.46/7.69 1108. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 1071 128 364 1107 % 7.46/7.69 1109. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1053 1057 1066 1108 % 7.46/7.69 1110. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 648 1109 973 % 7.46/7.69 1111. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1110 331 % 7.46/7.69 1112. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 128 448 % 7.46/7.69 1113. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 512 1112 331 % 7.46/7.69 1114. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 1109 218 % 7.46/7.69 1115. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 512 1114 331 % 7.46/7.69 1116. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1111 454 1113 1115 % 7.46/7.69 1117. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 259 107 1116 % 7.46/7.69 1118. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 648 1100 973 % 7.46/7.69 1119. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1118 331 % 7.46/7.69 1120. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 124 710 1066 535 % 7.46/7.69 1121. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 789 959 1070 1120 % 7.46/7.69 1122. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 1121 218 % 7.46/7.69 1123. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.46/7.69 1124. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1122 128 323 1123 % 7.46/7.69 1125. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 1124 218 % 7.46/7.69 1126. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 512 1125 331 % 7.46/7.69 1127. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e1) != (e2)) (((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)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1119 259 1113 1126 % 7.46/7.69 1128. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (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 (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 259 1127 340 % 7.46/7.69 1129. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1104 1106 1117 1128 % 7.46/7.69 1130. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.69 1131. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.46/7.69 1132. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 1071 295 323 1131 % 7.46/7.69 1133. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e2) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1053 1057 1066 1132 % 7.46/7.69 1134. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 58 1133 1066 593 % 7.46/7.69 1135. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 1134 448 % 7.46/7.69 1136. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 512 1135 331 % 7.46/7.69 1137. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.46/7.69 1138. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.46/7.69 1139. ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) ### TransEq 1137 1138 84 % 7.46/7.69 1140. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 7.46/7.69 1141. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 7.46/7.69 1142. ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e2)) ### TransEq 1140 1141 84 % 7.46/7.69 1143. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 374 1066 1139 1142 % 7.46/7.69 1144. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 1070 1143 568 848 % 7.46/7.69 1145. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.46/7.69 1146. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.46/7.69 1147. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 7.46/7.69 1148. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 1145 1146 1147 % 7.46/7.69 1149. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 236 710 1144 1148 % 7.46/7.69 1150. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1149 1079 1083 598 % 7.46/7.69 1151. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 58 1150 1066 593 % 7.46/7.69 1152. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 1151 973 % 7.46/7.69 1153. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1152 331 % 7.46/7.69 1154. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 259 1136 1153 % 7.46/7.69 1155. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 648 1150 448 % 7.46/7.69 1156. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 512 1155 331 % 7.46/7.69 1157. 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(((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 405 1136 1156 % 7.46/7.69 1158. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 648 1134 281 % 7.46/7.69 1159. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1158 331 % 7.46/7.69 1160. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 742 281 % 7.46/7.69 1161. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1160 331 % 7.46/7.69 1162. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1159 259 1113 1161 % 7.46/7.69 1163. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 648 1149 449 % 7.46/7.69 1164. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1163 242 1083 598 % 7.46/7.69 1165. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 58 1164 1066 593 % 7.46/7.69 1166. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1165 331 % 7.46/7.69 1167. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 259 1162 1166 % 7.46/7.69 1168. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1154 692 1157 1167 % 7.46/7.70 1169. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.46/7.70 1170. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 1071 295 364 1169 % 7.46/7.70 1171. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 196 1057 1066 1170 % 7.46/7.70 1172. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 58 1171 1066 593 % 7.46/7.70 1173. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 1172 448 % 7.46/7.70 1174. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 512 1173 331 % 7.46/7.70 1175. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 259 1136 340 % 7.46/7.70 1176. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1130 1168 1174 1175 % 7.46/7.70 1177. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 1087 1129 1053 1176 % 7.46/7.70 1178. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1177 200 388 120 % 7.46/7.70 1179. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1103 367 1075 1178 % 7.46/7.70 1180. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1149 1079 1083 53 % 7.46/7.70 1181. ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e3)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1179 959 1070 1180 % 7.46/7.70 1182. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e1)) = (e1)) ((op (e1) (e3)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 648 1181 448 % 7.46/7.70 1183. ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e1)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1182 331 % 7.46/7.70 1184. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (e2)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 259 1102 1183 % 7.46/7.70 1185. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 236 742 568 1148 % 7.46/7.70 1186. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1185 242 1083 53 % 7.46/7.70 1187. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.46/7.70 1188. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 1071 128 1186 1187 % 7.46/7.70 1189. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1053 1057 1066 1188 % 7.46/7.70 1190. ((op (e1) (e2)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1178 959 1070 1189 % 7.46/7.70 1191. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e1) (e3)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 648 1190 281 % 7.46/7.70 1192. ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) = (e2)) ((op (e3) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1191 331 % 7.46/7.70 1193. ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 405 1102 1192 % 7.46/7.70 1194. ((op (e1) (e0)) = (e0)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1084 692 1184 1193 % 7.46/7.70 1195. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1050 367 1075 1194 % 7.46/7.70 1196. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.70 1197. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.46/7.70 1198. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.46/7.70 1199. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 7.46/7.70 1200. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 1197 1198 1199 % 7.46/7.70 1201. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 751 114 636 442 % 7.46/7.70 1202. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 374 648 1201 1093 % 7.46/7.70 1203. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 995 1000 589 1202 % 7.46/7.70 1204. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 1200 1203 466 448 % 7.46/7.70 1205. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1204 1202 128 448 % 7.46/7.70 1206. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1205 367 741 236 % 7.46/7.70 1207. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 7.46/7.70 1208. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 7.46/7.70 1209. ((op (op (e2) (e2)) (op (e2) (e2))) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 1207 1208 % 7.46/7.70 1210. ((e0) != (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1209 13 % 7.46/7.70 1211. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 7.46/7.70 1212. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 7.46/7.70 1213. ((op (op (e2) (e2)) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) ### NotEqual 1212 127 % 7.46/7.70 1214. ((e1) != (op (op (e2) (e2)) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1213 92 % 7.46/7.70 1215. (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ((op (e3) (e3)) = (e0)) ### DisjTree 1210 1211 1214 % 7.46/7.70 1216. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e3)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e2)) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 1070 603 364 1215 % 7.46/7.70 1217. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) = (e2)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1206 1079 467 1216 % 7.46/7.70 1218. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 196 1057 1066 1217 % 7.46/7.70 1219. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1218 331 % 7.46/7.70 1220. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1111 454 1219 483 % 7.46/7.70 1221. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 759 107 1220 % 7.46/7.70 1222. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 7.46/7.70 1223. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 7.46/7.70 1224. ((op (op (e2) (e2)) (op (e2) (e2))) != (op (e0) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 1222 1223 % 7.46/7.70 1225. ((e1) != (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans-sym 1224 92 % 7.46/7.70 1226. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 7.46/7.70 1227. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 7.46/7.70 1228. ((op (op (e2) (e2)) (e2)) != (op (e0) (e2))) ((op (e2) (e2)) = (e0)) ### NotEqual 1227 127 % 7.46/7.70 1229. ((e3) != (op (op (e2) (e2)) (e2))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans-sym 1228 84 % 7.46/7.70 1230. (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) = (e1)) ### DisjTree 1225 1226 1229 % 7.46/7.70 1231. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 1230 648 679 1092 % 7.46/7.70 1232. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.46/7.70 1233. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 7.46/7.70 1234. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 7.46/7.70 1235. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 1232 1233 1234 % 7.46/7.70 1236. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 62 1235 978 856 % 7.46/7.70 1237. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.46/7.70 1238. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.46/7.70 1239. ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e0)) ### TransEq 1237 1238 84 % 7.46/7.70 1240. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 1236 648 636 1239 % 7.46/7.70 1241. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 7.46/7.70 1242. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 438 1240 364 1241 % 7.46/7.70 1243. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1094 515 1231 1242 % 7.46/7.70 1244. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((e0) != (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### DisjTree 49 1243 107 648 % 7.46/7.70 1245. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 1244 947 676 % 7.46/7.70 1246. ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1094 378 1231 1245 % 7.46/7.71 1247. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 1097 454 295 483 % 7.46/7.71 1248. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1247 648 1171 449 % 7.46/7.71 1249. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 1246 1248 331 % 7.46/7.71 1250. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 259 107 1249 % 7.46/7.71 1251. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 648 1109 281 % 7.46/7.71 1252. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1251 331 % 7.46/7.71 1253. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) = (e2)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1206 242 1083 1216 % 7.46/7.71 1254. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 196 1057 1066 1253 % 7.46/7.71 1255. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1254 331 % 7.46/7.71 1256. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1252 454 1255 483 % 7.46/7.71 1257. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 259 107 1256 % 7.46/7.71 1258. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1221 692 1250 1257 % 7.46/7.71 1259. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (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 (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 200 1258 120 % 7.46/7.71 1260. ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((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)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1196 367 1075 1259 % 7.46/7.71 1261. (((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 (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1049 1195 1260 892 % 7.46/7.71 1262. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.71 1263. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.71 1264. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1263 65 1075 1084 % 7.46/7.71 1265. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.71 1266. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.71 1267. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1266 65 1074 1084 % 7.46/7.71 1268. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1265 1267 1117 1128 % 7.46/7.71 1269. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.71 1270. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.71 1271. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 1100 448 % 7.46/7.71 1272. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 512 1271 331 % 7.46/7.71 1273. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 710 218 % 7.46/7.71 1274. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 512 1273 331 % 7.46/7.71 1275. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1156 454 295 1274 % 7.46/7.71 1276. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 405 1272 1275 % 7.46/7.71 1277. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 75 287 1148 331 % 7.46/7.71 1278. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (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)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 236 742 1144 1277 % 7.46/7.71 1279. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1278 242 1083 53 % 7.46/7.71 1280. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1166 959 1070 1279 % 7.46/7.71 1281. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 648 1280 281 % 7.46/7.71 1282. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 512 1281 331 % 7.46/7.71 1283. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 259 1272 1282 % 7.46/7.71 1284. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1084 692 1276 1283 % 7.46/7.71 1285. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1270 367 1074 1284 % 7.46/7.71 1286. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 759 107 1275 % 7.46/7.71 1287. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1252 454 1113 1115 % 7.46/7.71 1288. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 259 1272 1287 % 7.46/7.71 1289. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1117 692 1286 1288 % 7.46/7.71 1290. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 259 1272 340 % 7.46/7.71 1291. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1269 1285 1289 1290 % 7.46/7.71 1292. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 1087 1268 1053 1291 % 7.46/7.71 1293. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.71 1294. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1293 367 1074 236 % 7.46/7.71 1295. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 110 1292 1177 1294 % 7.46/7.72 1296. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.46/7.72 1297. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.46/7.72 1298. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 7.46/7.72 1299. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 1296 1297 1298 % 7.46/7.72 1300. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 512 1299 331 % 7.46/7.72 1301. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1295 1300 % 7.46/7.72 1302. ((op (e1) (e0)) = (e0)) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) = (e1)) ((op (e2) (e3)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### DisjTree 1301 200 1221 443 % 7.46/7.72 1303. (((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 (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e3)) != (e2)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1262 1264 1302 892 % 7.46/7.72 1304. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.72 1305. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.46/7.72 1306. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1284 1097 374 270 % 7.46/7.72 1307. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1305 65 1075 1306 % 7.56/7.72 1308. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.56/7.72 1309. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 117 295 1066 593 % 7.56/7.72 1310. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 200 317 1309 331 % 7.56/7.72 1311. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1111 454 1310 483 % 7.56/7.72 1312. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 259 107 1311 % 7.56/7.72 1313. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e1) != (e2)) ((op (e2) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 759 107 1247 % 7.56/7.72 1314. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1252 454 1310 483 % 7.56/7.72 1315. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 259 107 1314 % 7.56/7.72 1316. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1312 692 1313 1315 % 7.56/7.72 1317. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 200 1316 120 % 7.56/7.72 1318. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1289 1317 374 270 % 7.56/7.72 1319. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1308 367 1075 1318 % 7.56/7.72 1320. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1304 1307 1319 625 % 7.56/7.72 1321. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1261 1303 1053 1320 % 7.56/7.72 1322. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.56/7.72 1323. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1322 367 1075 236 % 7.56/7.72 1324. (((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 (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1041 1321 1179 1323 % 7.56/7.72 1325. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.56/7.72 1326. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### Or 1301 512 % 7.56/7.72 1327. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e2)) = (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### DisjTree 1326 200 636 120 % 7.56/7.72 1328. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e2)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1325 65 1075 1327 % 7.56/7.72 1329. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.56/7.72 1330. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1300 200 388 120 % 7.56/7.72 1331. (((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 (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1329 367 789 1330 % 7.56/7.72 1332. ((op (e0) (e0)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1041 1328 1331 1323 % 7.56/7.72 1333. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### Or 1324 1332 % 7.56/7.72 1334. (((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 (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### Or 1333 512 % 7.56/7.72 1335. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### Or 1334 1326 % 7.56/7.72 1336. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 1335 % 7.56/7.73 1337. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ### DisjTree 1043 1044 1048 1336 % 7.56/7.73 1338. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 1337 % 7.56/7.73 1339. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ### ConjTree 1070 % 7.56/7.73 1340. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.56/7.73 1341. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 7.56/7.73 1342. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 955 1000 705 1341 % 7.56/7.73 1343. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.56/7.73 1344. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.56/7.73 1345. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 7.56/7.73 1346. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq 1343 1344 1345 % 7.56/7.73 1347. (((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 (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1346 1000 603 1005 % 7.56/7.73 1348. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 196 278 1347 1216 % 7.56/7.73 1349. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 7.56/7.73 1350. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 959 714 1349 709 % 7.56/7.73 1351. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.56/7.73 1352. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 7.56/7.73 1353. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 7.56/7.73 1354. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 1351 1352 1353 % 7.56/7.73 1355. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 1350 1354 69 % 7.56/7.73 1356. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 278 % 7.56/7.73 1357. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e3)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 1070 603 323 1215 % 7.56/7.73 1358. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1053 1356 1347 1357 % 7.56/7.73 1359. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1355 203 1358 340 % 7.56/7.73 1360. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1359 374 168 % 7.56/7.73 1361. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1340 1342 1348 1360 % 7.56/7.73 1362. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.56/7.73 1363. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1362 65 124 120 % 7.56/7.73 1364. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1361 692 1363 523 % 7.56/7.73 1365. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.56/7.73 1366. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.56/7.73 1367. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.56/7.73 1368. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.56/7.73 1369. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 7.56/7.73 1370. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq 1367 1368 1369 % 7.56/7.73 1371. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.56/7.73 1372. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.56/7.73 1373. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 7.56/7.73 1374. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 1371 1372 1373 % 7.56/7.73 1375. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 374 1066 1139 1374 % 7.56/7.73 1376. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 7.56/7.73 1377. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 7.56/7.73 1378. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 7.56/7.73 1379. ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e1)) ### TransEq 1377 1378 127 % 7.56/7.73 1380. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 789 1376 364 1379 % 7.56/7.73 1381. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e0)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1370 714 1375 1380 % 7.56/7.73 1382. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 1381 1354 69 % 7.56/7.73 1383. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1366 1382 789 120 % 7.56/7.73 1384. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.56/7.73 1385. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.56/7.73 1386. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.56/7.73 1387. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 7.56/7.73 1388. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq 1385 1386 1387 % 7.56/7.73 1389. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1388 1355 374 168 % 7.56/7.73 1390. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1384 1389 789 120 % 7.56/7.73 1391. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1365 1342 1383 1390 % 7.56/7.73 1392. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e0)) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1391 1044 58 523 % 7.56/7.73 1393. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1041 1364 1392 1022 % 7.56/7.73 1394. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1393 1005 % 7.56/7.73 1395. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 7.56/7.73 1396. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 1375 1354 69 % 7.56/7.73 1397. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1395 1396 124 120 % 7.56/7.73 1398. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1347 692 1397 523 % 7.56/7.73 1399. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### Or 1394 1398 % 7.56/7.73 1400. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1399 % 7.56/7.73 1401. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((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 (e2) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ### DisjTree 1043 1400 1048 443 % 7.56/7.73 1402. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 1401 % 7.56/7.73 1403. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.56/7.73 1404. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 7.56/7.73 1405. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=) % 7.56/7.73 1406. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e3)) = (e0)) ### TransEq 1403 1404 1405 % 7.56/7.73 1407. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 1406 % 7.56/7.73 1408. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.73 1409. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.56/7.73 1410. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.56/7.73 1411. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 7.56/7.73 1412. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ((op (e3) (e3)) = (e0)) ### TransEq 1409 1410 1411 % 7.56/7.73 1413. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 1079 62 1412 % 7.56/7.73 1414. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.56/7.73 1415. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.56/7.73 1416. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 7.56/7.73 1417. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 1414 1415 1416 % 7.56/7.73 1418. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 1413 37 1417 % 7.56/7.73 1419. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### ConjTree 1418 % 7.56/7.73 1420. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.56/7.73 1421. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.56/7.73 1422. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 7.56/7.73 1423. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 1420 1421 1422 % 7.56/7.73 1424. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 388 959 1419 1423 % 7.56/7.73 1425. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.56/7.73 1426. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1408 200 1424 1425 % 7.56/7.73 1427. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### Or 1426 1412 % 7.56/7.73 1428. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### ConjTree 1427 % 7.56/7.73 1429. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.73 1430. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.73 1431. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 388 959 131 1423 % 7.56/7.73 1432. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1022 1079 49 1412 % 7.56/7.73 1433. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 374 1432 131 384 % 7.56/7.73 1434. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1430 200 1431 1433 % 7.56/7.73 1435. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 7.56/7.73 1436. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 7.56/7.73 1437. ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 1435 1436 13 % 7.56/7.73 1438. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1429 995 1434 1437 % 7.56/7.73 1439. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### Or 1438 259 % 7.56/7.73 1440. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.73 1441. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1440 1097 1434 1437 % 7.56/7.73 1442. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### DisjTree 1439 1441 364 697 % 7.56/7.73 1443. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 1442 259 % 7.56/7.73 1444. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) != (e3)) ### ConjTree 1443 % 7.56/7.73 1445. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom % 7.56/7.73 1446. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.73 1447. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e0) (e0)) != (e3)) ((op (e0) (e3)) = (e0)) ### Or 1445 1446 % 7.56/7.73 1448. (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e3)) ### ConjTree 1447 % 7.56/7.73 1449. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1428 1044 1444 1448 % 7.56/7.73 1450. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 1449 % 7.56/7.73 1451. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.56/7.73 1452. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.56/7.73 1453. ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ### TransEq-sym 1451 1452 13 % 7.56/7.73 1454. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.73 1455. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.73 1456. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 1230 667 1455 % 7.56/7.73 1457. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 1456 1413 37 1417 % 7.56/7.73 1458. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1454 1097 1457 1437 % 7.56/7.73 1459. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 1458 196 697 % 7.56/7.73 1460. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 182 1459 768 % 7.56/7.73 1461. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.73 1462. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1461 1097 1230 1437 % 7.56/7.73 1463. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.73 1464. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.73 1465. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom % 7.56/7.73 1466. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom % 7.56/7.73 1467. ((op (op (e0) (e0)) (op (e0) (e0))) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ### NotEqual 1465 1466 % 7.56/7.73 1468. ((e2) != (op (op (e0) (e0)) (op (e0) (e0)))) ((op (e1) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans-sym 1467 127 % 7.56/7.73 1469. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.56/7.73 1470. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom % 7.56/7.73 1471. ((op (op (e0) (e0)) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e1)) ### NotEqual 1470 13 % 7.56/7.73 1472. ((e3) != (op (op (e0) (e0)) (e0))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans-sym 1471 84 % 7.56/7.73 1473. (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) = (e2)) ### DisjTree 1468 1469 1472 % 7.56/7.73 1474. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 7.56/7.73 1475. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.56/7.73 1476. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 7.56/7.73 1477. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 7.56/7.73 1478. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq-sym 1475 1476 1477 % 7.56/7.73 1479. (((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 (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### DisjTree 49 278 107 1299 % 7.56/7.73 1480. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1478 378 679 1479 % 7.56/7.73 1481. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 7.56/7.73 1482. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.56/7.73 1483. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.56/7.73 1484. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 7.56/7.73 1485. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 1482 1483 1484 % 7.56/7.73 1486. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1022 1481 1485 597 % 7.56/7.73 1487. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 7.56/7.73 1488. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 124 1487 131 135 % 7.56/7.73 1489. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.56/7.73 1490. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.56/7.73 1491. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 7.56/7.73 1492. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq-sym 1489 1490 1491 % 7.56/7.73 1493. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1488 714 493 1492 % 7.56/7.73 1494. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.56/7.73 1495. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.56/7.73 1496. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 7.56/7.73 1497. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq-sym 1494 1495 1496 % 7.56/7.73 1498. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e3) (e1)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 955 1493 1497 597 % 7.56/7.73 1499. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e1)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1486 1498 62 1412 % 7.56/7.73 1500. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ### DisjTree 37 246 107 1485 % 7.56/7.73 1501. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((e0) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 1230 1499 1480 1500 % 7.56/7.73 1502. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e1)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 438 709 1480 1501 % 7.56/7.73 1503. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 196 278 493 1502 % 7.56/7.73 1504. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 1097 454 1474 1503 % 7.56/7.74 1505. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 1473 107 1504 % 7.56/7.74 1506. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 7.56/7.74 1507. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((e0) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 1230 1499 1480 1374 % 7.56/7.74 1508. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e1)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 438 709 679 1507 % 7.56/7.74 1509. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) = (e1)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1462 454 1506 1508 % 7.56/7.74 1510. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((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 (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 203 107 1509 % 7.56/7.74 1511. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (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) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1464 1505 438 1510 % 7.56/7.74 1512. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1463 1511 1230 1437 % 7.56/7.74 1513. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) = (e1)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 1462 1512 697 % 7.56/7.74 1514. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.56/7.74 1515. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 7.56/7.74 1516. ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ### TransEq 1514 1515 127 % 7.56/7.74 1517. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.74 1518. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 1230 1486 679 1500 % 7.56/7.74 1519. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 438 709 679 1518 % 7.56/7.74 1520. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 196 1356 493 1519 % 7.56/7.74 1521. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1517 1520 1230 1437 % 7.56/7.74 1522. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 1462 1521 697 % 7.56/7.74 1523. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 1513 789 1522 % 7.56/7.74 1524. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1370 714 493 1492 % 7.56/7.74 1525. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1523 1524 % 7.56/7.74 1526. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 7.56/7.74 1527. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1526 1097 1456 1437 % 7.56/7.74 1528. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 1527 196 697 % 7.56/7.74 1529. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### DisjTree 1525 182 1528 768 % 7.56/7.74 1530. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### DisjTree 1525 692 124 151 % 7.56/7.74 1531. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1460 1529 789 1530 % 7.56/7.74 1532. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ### Or 1531 493 % 7.56/7.74 1533. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1532 % 7.56/7.74 1534. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1419 1533 406 1448 % 7.56/7.74 1535. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((e2) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 1534 % 7.56/7.74 1536. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ### ConjTree 1412 % 7.56/7.74 1537. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 7.56/7.74 1538. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.74 1539. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ### Or 1537 1538 % 7.56/7.74 1540. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e0)) ### ConjTree 1539 % 7.56/7.74 1541. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.56/7.74 1542. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.56/7.74 1543. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 1542 564 364 383 % 7.56/7.74 1544. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### DisjTree 49 246 323 1543 % 7.56/7.74 1545. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (e0)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ### DisjTree 417 1057 532 1544 % 7.56/7.74 1546. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 1541 378 1230 1545 % 7.56/7.74 1547. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 81 1546 168 % 7.56/7.74 1548. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 405 364 1547 % 7.56/7.74 1549. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1473 388 120 % 7.56/7.74 1550. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 256 371 1549 % 7.56/7.74 1551. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 256 371 236 % 7.56/7.74 1552. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 1548 1550 1551 % 7.56/7.74 1553. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 1552 323 340 % 7.56/7.74 1554. ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 17 364 1553 % 7.56/7.74 1555. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) = (e1)) ### Or 1554 1516 % 7.56/7.74 1556. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### ConjTree 1555 % 7.56/7.74 1557. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 114 438 442 % 7.56/7.74 1558. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 114 1246 120 % 7.56/7.74 1559. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 367 1557 1558 % 7.56/7.74 1560. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 17 1559 892 % 7.56/7.74 1561. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 114 388 443 % 7.56/7.74 1562. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 367 1557 236 % 7.56/7.74 1563. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 1560 1561 1562 % 7.56/7.74 1564. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 644 1563 649 331 % 7.56/7.74 1565. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.74 1566. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 1565 692 721 186 % 7.56/7.74 1567. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 1563 1566 218 % 7.56/7.74 1568. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 1564 1567 % 7.56/7.74 1569. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 759 107 1568 % 7.56/7.74 1570. ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 17 1569 892 % 7.56/7.75 1571. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 741 1567 % 7.56/7.75 1572. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 1473 107 1571 % 7.56/7.75 1573. ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1572 438 442 % 7.56/7.75 1574. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e0)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 1561 128 448 % 7.56/7.75 1575. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 1574 1567 % 7.56/7.75 1576. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 1549 107 1575 % 7.56/7.75 1577. 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(((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 367 1573 1576 % 7.56/7.75 1578. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 504 1566 218 % 7.56/7.75 1579. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 1473 644 1578 % 7.56/7.75 1580. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 1473 1579 340 % 7.56/7.75 1581. ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 1580 388 120 % 7.56/7.75 1582. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 81 1581 168 % 7.56/7.75 1583. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 367 789 1582 % 7.56/7.75 1584. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 17 1577 1583 % 7.56/7.75 1585. ((op (e3) (e0)) = (e0)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 367 1573 236 % 7.56/7.75 1586. ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 1580 438 1022 % 7.56/7.75 1587. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 81 1586 168 % 7.56/7.75 1588. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e3) (e0)) = (e0)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 367 1587 236 % 7.56/7.75 1589. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 17 1585 1588 % 7.56/7.75 1590. ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 1570 1584 1589 % 7.56/7.75 1591. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 848 218 % 7.56/7.75 1592. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 454 644 1591 % 7.56/7.75 1593. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 367 1473 107 1592 % 7.56/7.75 1594. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1593 636 442 % 7.56/7.75 1595. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 81 856 168 % 7.56/7.75 1596. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 17 1594 1595 % 7.56/7.75 1597. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e2) (e1))) ### Or 1590 1596 % 7.56/7.75 1598. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1563 1088 % 7.56/7.75 1599. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### Or 1597 1598 % 7.56/7.75 1600. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### Or 1599 1087 % 7.56/7.75 1601. ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (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 (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### ConjTree 1600 % 7.56/7.75 1602. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ### DisjTree 1540 1044 1556 1601 % 7.56/7.75 1603. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (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) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 1602 % 7.56/7.75 1604. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 692 % 7.56/7.75 1605. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.75 1606. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 239 242 603 606 % 7.56/7.75 1607. (((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 (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 239 462 603 1005 % 7.56/7.75 1608. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 1606 49 1607 % 7.56/7.75 1609. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 236 1606 467 69 % 7.56/7.75 1610. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 1605 1608 1609 % 7.56/7.75 1611. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 741 1610 % 7.56/7.75 1612. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.75 1613. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 1612 608 613 % 7.56/7.75 1614. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 741 1613 % 7.56/7.75 1615. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 968 1614 625 % 7.56/7.75 1616. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 1611 551 1615 % 7.56/7.75 1617. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 7.56/7.75 1618. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 7.56/7.75 1619. ((op (op (e0) (e0)) (op (e0) (e0))) != (op (e2) (e2))) ((op (e0) (e0)) = (e2)) ### NotEqual 1617 1618 % 7.56/7.75 1620. ((e1) != (op (op (e0) (e0)) (op (e0) (e0)))) ((op (e2) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1619 92 % 7.56/7.75 1621. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 7.56/7.75 1622. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 7.56/7.75 1623. ((op (op (e0) (e0)) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ### NotEqual 1622 13 % 7.56/7.75 1624. ((e3) != (op (op (e0) (e0)) (e0))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1623 84 % 7.56/7.75 1625. (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ((op (e2) (e2)) = (e1)) ### DisjTree 1620 1621 1624 % 7.56/7.75 1626. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 751 644 1625 442 % 7.56/7.75 1627. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 676 186 1139 597 % 7.56/7.75 1628. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 1627 1112 331 % 7.56/7.75 1629. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 995 182 589 1202 % 7.56/7.75 1630. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1629 1202 128 449 % 7.56/7.75 1631. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### DisjTree 1354 1235 107 1485 % 7.56/7.75 1632. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 374 648 636 1631 % 7.56/7.75 1633. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1628 114 1632 120 % 7.56/7.76 1634. (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1630 65 741 1633 % 7.56/7.76 1635. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1627 317 374 168 % 7.56/7.76 1636. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1630 968 1634 1635 % 7.56/7.76 1637. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1628 317 374 270 % 7.56/7.76 1638. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1094 1636 1053 1637 % 7.56/7.76 1639. (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1638 378 493 1245 % 7.56/7.76 1640. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 644 1639 649 331 % 7.56/7.76 1641. (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1628 644 1640 443 % 7.56/7.76 1642. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.76 1643. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 751 644 1625 1022 % 7.56/7.76 1644. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1643 367 741 236 % 7.56/7.76 1645. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1644 1606 49 1607 % 7.56/7.76 1646. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 1641 1642 1645 1609 % 7.56/7.76 1647. (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1626 367 741 1646 % 7.56/7.76 1648. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 751 114 1625 443 % 7.56/7.76 1649. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1627 114 1639 120 % 7.56/7.76 1650. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1648 367 741 1649 % 7.56/7.76 1651. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1635 378 493 467 % 7.56/7.76 1652. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1648 968 1650 1651 % 7.56/7.76 1653. ((op (e0) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 644 1652 383 331 % 7.56/7.76 1654. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.76 1655. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e3)) ### DisjTree 1653 1654 1645 1609 % 7.56/7.76 1656. ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 1655 168 % 7.56/7.76 1657. ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 741 1656 % 7.56/7.76 1658. ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1626 968 1647 1657 % 7.56/7.76 1659. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 644 1625 443 % 7.56/7.76 1660. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 751 81 1659 270 % 7.56/7.76 1661. ((op (e0) (e2)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 297 1639 383 331 % 7.56/7.76 1662. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) = (e3)) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e3)) ### DisjTree 1653 692 295 1661 % 7.56/7.76 1663. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.76 1664. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) = (e3)) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1662 1663 608 613 % 7.56/7.76 1665. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e3) (e0)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 644 1664 120 % 7.56/7.76 1666. ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1628 81 1665 270 % 7.56/7.76 1667. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1660 367 741 1666 % 7.56/7.76 1668. ((op (e0) (e3)) != (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1660 17 1667 625 % 7.56/7.76 1669. ((op (e0) (e0)) != (op (e0) (e2))) (((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) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 1658 551 1668 % 7.56/7.76 1670. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1626 367 741 1641 % 7.56/7.76 1671. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1626 968 1670 892 % 7.56/7.77 1672. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.77 1673. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.56/7.77 1674. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 7.56/7.77 1675. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 7.56/7.77 1676. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 1673 1674 1675 % 7.56/7.77 1677. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ### DisjTree 1079 182 589 114 % 7.56/7.77 1678. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1677 692 295 242 % 7.56/7.77 1679. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 644 1672 1676 1678 % 7.56/7.77 1680. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 751 1679 388 443 % 7.56/7.77 1681. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1628 1679 388 120 % 7.56/7.77 1682. (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1680 367 789 1681 % 7.56/7.77 1683. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1669 1671 1682 1644 % 7.56/7.77 1684. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.77 1685. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1206 1606 467 1607 % 7.56/7.77 1686. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 959 1000 589 114 % 7.56/7.77 1687. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1685 692 295 1686 % 7.56/7.77 1688. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 644 1684 1687 1678 % 7.56/7.77 1689. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.77 1690. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 1689 1000 589 1632 % 7.56/7.77 1691. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1685 692 295 1690 % 7.56/7.77 1692. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1688 1691 120 % 7.56/7.77 1693. ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 367 741 1692 % 7.56/7.77 1694. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 968 1693 892 % 7.56/7.77 1695. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1630 65 741 1685 % 7.56/7.77 1696. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.77 1697. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1629 692 295 1686 % 7.56/7.77 1698. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 644 1696 1697 1678 % 7.56/7.77 1699. ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 1698 1625 443 % 7.56/7.77 1700. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1628 1699 374 270 % 7.56/7.77 1701. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.77 1702. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 81 1701 1687 1606 % 7.56/7.77 1703. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.77 1704. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 7.56/7.77 1705. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.77 1706. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 1705 1000 716 1244 % 7.56/7.77 1707. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((e0) != (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1041 1706 1203 1112 % 7.56/7.77 1708. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (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 (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ### DisjTree 1704 613 1707 782 % 7.56/7.77 1709. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 236 242 1708 624 % 7.56/7.77 1710. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) = (e2)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (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 (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 1686 1632 1709 331 % 7.56/7.77 1711. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1685 692 295 1710 % 7.56/7.77 1712. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (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) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 81 1703 1711 1606 % 7.56/7.77 1713. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((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)) != (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1628 1702 1712 442 % 7.56/7.77 1714. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (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 (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) != (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1628 1713 374 270 % 7.56/7.77 1715. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((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)) != (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1700 367 741 1714 % 7.56/7.77 1716. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (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 (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1700 968 1715 625 % 7.56/7.77 1717. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e3)) != (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1694 1695 551 1716 % 7.56/7.77 1718. (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 367 789 1681 % 7.56/7.77 1719. (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1630 367 741 1681 % 7.56/7.77 1720. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.77 1721. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 81 1720 1676 1678 % 7.56/7.77 1722. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 684 1721 388 442 % 7.56/7.77 1723. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1628 1722 374 270 % 7.56/7.77 1724. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1718 1719 1053 1723 % 7.56/7.77 1725. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1041 1717 1724 1206 % 7.56/7.77 1726. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 7.56/7.77 1727. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1616 1683 1725 1726 % 7.56/7.78 1728. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 1727 1139 % 7.56/7.78 1729. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.78 1730. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1652 1729 1608 1609 % 7.56/7.78 1731. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1648 367 741 1730 % 7.56/7.78 1732. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.56/7.78 1733. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 1639 1732 608 613 % 7.56/7.78 1734. (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 114 1733 120 % 7.56/7.78 1735. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 317 1734 270 % 7.63/7.78 1736. ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 741 1735 % 7.63/7.78 1737. ((op (e0) (e3)) != (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 968 1736 625 % 7.63/7.78 1738. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 1731 551 1737 % 7.63/7.78 1739. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.63/7.78 1740. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1644 1606 49 69 % 7.63/7.78 1741. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1041 1740 493 467 % 7.63/7.78 1742. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 1639 1739 1645 1741 % 7.63/7.78 1743. (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1627 114 1742 443 % 7.63/7.78 1744. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1648 367 741 1743 % 7.63/7.78 1745. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.63/7.78 1746. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 1651 1745 1645 1741 % 7.63/7.78 1747. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 367 741 1746 % 7.63/7.78 1748. ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1648 17 1744 1747 % 7.63/7.78 1749. (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 644 1733 443 % 7.63/7.78 1750. ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((op (e3) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1660 367 741 1749 % 7.63/7.78 1751. ((op (e0) (e3)) != (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e3)) = (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1660 968 1750 625 % 7.63/7.78 1752. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 1748 551 1751 % 7.63/7.78 1753. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1648 17 1650 892 % 7.63/7.78 1754. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1627 114 388 442 % 7.63/7.78 1755. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1752 1753 1754 1644 % 7.63/7.78 1756. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1627 114 1632 1022 % 7.63/7.78 1757. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1630 968 1756 1635 % 7.63/7.78 1758. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1094 1757 1053 1637 % 7.63/7.78 1759. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1041 1638 1754 1758 % 7.63/7.78 1760. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 7.63/7.78 1761. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1738 1755 1759 1760 % 7.63/7.78 1762. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 1761 1139 % 7.63/7.79 1763. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### Or 1728 1762 % 7.63/7.79 1764. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### Or 1763 1628 % 7.63/7.79 1765. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1764 % 7.63/7.79 1766. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ### DisjTree 1540 1044 1013 1765 % 7.63/7.79 1767. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 1766 % 7.63/7.79 1768. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.63/7.79 1769. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.63/7.79 1770. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 7.63/7.79 1771. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 1768 1769 1770 % 7.63/7.79 1772. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.63/7.79 1773. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 99 49 1005 % 7.63/7.79 1774. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ### DisjTree 1772 1773 131 1545 % 7.63/7.79 1775. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 1771 1774 168 % 7.63/7.79 1776. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 973 364 1775 % 7.63/7.79 1777. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 7.63/7.79 1778. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 7.63/7.79 1779. ((e1) != (e2)) ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) ### TransEq 1777 1778 127 % 7.63/7.79 1780. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 947 218 568 1779 % 7.63/7.79 1781. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.63/7.79 1782. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ### DisjTree 1781 1773 131 417 % 7.63/7.79 1783. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 1771 1782 168 % 7.63/7.79 1784. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (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 (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 17 196 1783 % 7.63/7.79 1785. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.63/7.79 1786. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.63/7.79 1787. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom % 7.63/7.79 1788. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom % 7.63/7.79 1789. ((op (op (e0) (e0)) (op (e0) (e0))) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ### NotEqual 1787 1788 % 7.63/7.79 1790. ((e1) != (op (op (e0) (e0)) (op (e0) (e0)))) ((op (e3) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1789 92 % 7.63/7.79 1791. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 7.63/7.79 1792. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom % 7.63/7.79 1793. ((op (op (e0) (e0)) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ### NotEqual 1792 13 % 7.63/7.79 1794. ((e2) != (op (op (e0) (e0)) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1793 127 % 7.63/7.79 1795. (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e3) (e3)) = (e1)) ### DisjTree 1790 1791 1794 % 7.63/7.79 1796. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 1771 1774 168 % 7.63/7.79 1797. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 256 406 1796 % 7.63/7.79 1798. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 405 196 1797 % 7.63/7.79 1799. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 1786 714 1798 963 % 7.63/7.79 1800. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 964 692 1799 281 % 7.63/7.79 1801. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1784 1785 1800 99 % 7.63/7.79 1802. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (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 (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 1801 196 1783 % 7.63/7.79 1803. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 1776 1802 250 % 7.63/7.79 1804. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 81 1774 168 % 7.63/7.79 1805. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 17 364 1804 % 7.63/7.79 1806. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 1771 1546 168 % 7.63/7.79 1807. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 65 406 1806 % 7.63/7.79 1808. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e0)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 17 364 1807 % 7.63/7.79 1809. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.63/7.79 1810. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.63/7.79 1811. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 1810 564 364 146 % 7.63/7.79 1812. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 21 1473 947 1811 % 7.63/7.79 1813. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e0)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ### DisjTree 417 1057 532 1812 % 7.63/7.79 1814. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 1809 378 131 1813 % 7.63/7.79 1815. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 1814 323 340 % 7.63/7.79 1816. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 117 529 532 1492 % 7.63/7.79 1817. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.63/7.79 1818. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 7.63/7.79 1819. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 7.63/7.79 1820. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 1817 1818 1819 % 7.63/7.79 1821. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 1815 1816 1820 % 7.63/7.79 1822. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e3) (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) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 81 1821 168 % 7.63/7.79 1823. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 65 406 1822 % 7.63/7.79 1824. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 17 364 1823 % 7.63/7.79 1825. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 1771 418 168 % 7.63/7.79 1826. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 65 406 1825 % 7.63/7.79 1827. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 17 196 1826 % 7.63/7.79 1828. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1808 1824 1827 250 % 7.63/7.79 1829. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.63/7.79 1830. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 17 1829 1676 99 % 7.63/7.79 1831. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 973 364 1797 % 7.63/7.79 1832. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 81 1782 168 % 7.63/7.79 1833. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 256 371 1832 % 7.63/7.79 1834. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 17 196 1833 % 7.63/7.79 1835. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 1831 1834 250 % 7.63/7.79 1836. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 405 364 1807 % 7.63/7.79 1837. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 146 1814 1816 120 % 7.63/7.79 1838. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 81 1837 168 % 7.63/7.80 1839. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (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) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 256 371 1838 % 7.63/7.80 1840. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 973 364 1839 % 7.63/7.80 1841. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 405 196 1826 % 7.63/7.80 1842. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1836 1840 1841 250 % 7.63/7.80 1843. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e3)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 1473 947 1795 % 7.63/7.80 1844. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e0)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 1843 388 120 % 7.63/7.80 1845. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 256 371 1844 % 7.63/7.80 1846. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 236 721 568 1779 % 7.63/7.80 1847. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1835 1842 1845 1846 % 7.63/7.80 1848. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1830 1847 978 218 % 7.63/7.80 1849. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 236 705 568 1779 % 7.63/7.80 1850. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1849 1847 978 218 % 7.63/7.80 1851. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1805 1828 1848 1850 % 7.63/7.80 1852. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.63/7.80 1853. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 973 364 697 % 7.63/7.80 1854. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.63/7.80 1855. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.63/7.80 1856. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.63/7.80 1857. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 7.63/7.80 1858. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 1855 1856 1857 % 7.63/7.80 1859. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.63/7.80 1860. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 7.63/7.80 1861. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 7.63/7.80 1862. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq-sym 1859 1860 1861 % 7.63/7.80 1863. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ### DisjTree 1858 564 568 1862 % 7.63/7.80 1864. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1863 99 49 1412 % 7.63/7.80 1865. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 1854 1864 1417 % 7.63/7.80 1866. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 7.63/7.80 1867. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 418 1866 1864 1417 % 7.63/7.80 1868. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 1771 1867 1437 % 7.63/7.80 1869. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 1865 371 1868 % 7.63/7.80 1870. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (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 (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 1853 1869 250 % 7.63/7.80 1871. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 1771 1546 1437 % 7.63/7.80 1872. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 65 406 1871 % 7.63/7.80 1873. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1872 1853 1869 768 % 7.63/7.80 1874. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 1830 364 697 % 7.63/7.80 1875. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 1780 1849 364 697 % 7.63/7.80 1876. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1870 1873 1874 1875 % 7.63/7.80 1877. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1803 1851 1852 1876 % 7.63/7.80 1878. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 1877 1780 % 7.63/7.80 1879. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1878 % 7.63/7.80 1880. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ### DisjTree 1540 1044 1879 449 % 7.63/7.80 1881. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 1880 % 7.63/7.80 1882. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 7.63/7.80 1883. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) = (e0))))) ### ConjTree 1882 % 7.63/7.80 1884. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 7.63/7.80 1885. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ### ConjTree 1884 % 7.63/7.80 1886. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 7.63/7.80 1887. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) = (e2))))) ### ConjTree 1886 % 7.63/7.80 1888. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 7.63/7.80 1889. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) = (e3))))) ### ConjTree 1888 % 7.63/7.80 1890. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### ConjTree 1453 % 7.63/7.80 1891. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom % 7.63/7.80 1892. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.80 1893. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ### Or 1891 1892 % 7.63/7.80 1894. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) ### ConjTree 1893 % 7.63/7.80 1895. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.80 1896. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.80 1897. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 25 1000 1896 186 % 7.63/7.80 1898. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1346 1897 246 606 % 7.63/7.80 1899. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 81 114 1898 218 % 7.63/7.80 1900. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 1895 644 1899 % 7.63/7.80 1901. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.80 1902. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 25 1000 1901 648 % 7.63/7.80 1903. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1346 1902 246 606 % 7.63/7.80 1904. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1900 1243 1903 331 % 7.63/7.80 1905. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1900 1904 442 % 7.63/7.80 1906. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.80 1907. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.80 1908. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1370 295 1235 891 % 7.63/7.80 1909. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1899 504 1903 331 % 7.63/7.80 1910. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 1907 1908 1909 % 7.63/7.80 1911. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 1906 1910 340 % 7.63/7.80 1912. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 81 1911 168 % 7.63/7.80 1913. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 17 1905 1912 % 7.63/7.80 1914. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1900 388 442 % 7.63/7.80 1915. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 151 462 246 606 % 7.63/7.80 1916. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.80 1917. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 1916 295 1591 % 7.63/7.80 1918. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 374 1903 1917 1093 % 7.63/7.80 1919. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 1230 1902 679 1092 % 7.63/7.80 1920. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 151 1919 246 606 % 7.63/7.80 1921. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1918 515 1920 1858 % 7.63/7.80 1922. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.80 1923. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 1922 644 1591 % 7.63/7.80 1924. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1923 438 442 % 7.63/7.80 1925. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1923 636 120 % 7.63/7.80 1926. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 65 1924 1925 % 7.63/7.81 1927. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.81 1928. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 1927 1574 1591 % 7.63/7.81 1929. ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e0)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1928 636 442 % 7.63/7.81 1930. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.81 1931. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 1930 297 1591 % 7.63/7.81 1932. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1915 278 1917 1931 % 7.63/7.81 1933. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1932 636 442 % 7.63/7.81 1934. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 1926 1929 1933 % 7.63/7.81 1935. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 374 1902 1934 1093 % 7.63/7.81 1936. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1935 515 1919 1858 % 7.63/7.81 1937. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1915 278 1921 1936 % 7.63/7.81 1938. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.81 1939. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 17 1938 295 483 % 7.63/7.81 1940. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1915 278 1939 1936 % 7.63/7.81 1941. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 1937 1940 442 % 7.63/7.81 1942. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) ### DisjTree 374 515 1230 1858 % 7.63/7.81 1943. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 81 1942 168 % 7.63/7.81 1944. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 17 1941 1943 % 7.63/7.81 1945. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 1913 1914 1944 % 7.63/7.81 1946. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ### Or 1945 1934 % 7.63/7.81 1947. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### Or 1946 1087 % 7.63/7.81 1948. ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ### ConjTree 1947 % 7.63/7.81 1949. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((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 (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ### DisjTree 1890 1356 1894 1948 % 7.63/7.81 1950. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 1949 % 7.63/7.81 1951. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 278 % 7.63/7.81 1952. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ### ConjTree 1235 % 7.63/7.81 1953. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.81 1954. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 1677 62 1005 % 7.63/7.81 1955. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.81 1956. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.81 1957. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 973 1956 1954 218 % 7.63/7.81 1958. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.63/7.81 1959. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 142 1957 117 1958 % 7.63/7.81 1960. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.81 1961. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 755 295 493 1492 % 7.63/7.81 1962. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 973 1960 1961 218 % 7.63/7.81 1963. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 1890 1057 1959 1962 % 7.63/7.81 1964. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 1890 1963 207 250 % 7.63/7.81 1965. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1964 1005 % 7.63/7.81 1966. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ### DisjTree 1965 1235 978 856 % 7.63/7.81 1967. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 973 1955 1966 218 % 7.63/7.81 1968. ((e1) != (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1209 92 % 7.63/7.81 1969. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 7.63/7.81 1970. ((e0) != (op (op (e2) (e2)) (e2))) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1213 13 % 7.63/7.81 1971. (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) ((op (e3) (e3)) = (e1)) ### DisjTree 1968 1969 1970 % 7.63/7.81 1972. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e3)) = (e1)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 62 1066 978 1971 % 7.63/7.81 1973. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.81 1974. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e3)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 1972 182 1973 648 % 7.63/7.81 1975. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e1)) = (e2)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ### DisjTree 1967 1974 1971 1862 % 7.63/7.81 1976. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1041 515 1954 1975 % 7.63/7.81 1977. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 973 1953 1976 218 % 7.63/7.81 1978. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 7.63/7.81 1979. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 117 295 1235 1492 % 7.63/7.81 1980. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 973 1978 1979 218 % 7.63/7.81 1981. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.63/7.81 1982. ((op (e3) (e0)) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 142 1977 1980 1981 % 7.63/7.81 1983. ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 1890 1982 207 250 % 7.63/7.81 1984. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ### Or 1983 1005 % 7.63/7.81 1985. ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### ConjTree 1984 % 7.63/7.81 1986. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ### DisjTree 1985 1356 1894 449 % 7.63/7.81 1987. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 1986 % 7.63/7.81 1988. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.63/7.81 1989. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.63/7.81 1990. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 7.63/7.81 1991. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 1988 1989 1990 % 7.63/7.81 1992. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 1991 % 7.63/7.81 1993. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 7.63/7.81 1994. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 7.63/7.81 1995. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 7.63/7.81 1996. ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 1994 1995 92 % 7.63/7.81 1997. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1473 1993 383 1996 % 7.63/7.81 1998. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 81 1997 168 % 7.63/7.81 1999. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 405 364 1998 % 7.63/7.81 2000. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 1999 323 984 % 7.63/7.81 2001. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 7.63/7.81 2002. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 25 714 1550 2001 % 7.63/7.81 2003. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 58 2002 532 497 % 7.63/7.81 2004. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.63/7.81 2005. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 2004 378 131 1858 % 7.63/7.81 2006. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 7.63/7.81 2007. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 7.63/7.81 2008. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 25 1991 1997 2007 % 7.63/7.81 2009. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### DisjTree 49 1543 568 1092 % 7.63/7.81 2010. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (e0)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1022 1863 1485 2009 % 7.63/7.81 2011. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 7.63/7.81 2012. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 2008 2010 848 2011 % 7.63/7.81 2013. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 7.63/7.81 2014. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 7.63/7.81 2015. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 7.63/7.81 2016. ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 2014 2015 127 % 7.63/7.81 2017. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.63/7.81 2018. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 2017 564 364 327 % 7.63/7.81 2019. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 2008 1543 2016 2018 % 7.63/7.81 2020. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (e0)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 2012 2013 532 2019 % 7.63/7.81 2021. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 7.63/7.81 2022. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (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) (e2)) != (e0)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1863 2021 532 2019 % 7.63/7.81 2023. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 2006 2020 2022 % 7.63/7.81 2024. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (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 (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 2005 25 2023 210 % 7.63/7.82 2025. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 1087 81 2008 168 % 7.63/7.82 2026. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 2024 364 2025 % 7.63/7.82 2027. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 2000 2003 2026 % 7.63/7.82 2028. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.63/7.82 2029. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.63/7.82 2030. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 7.63/7.82 2031. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 2028 2029 2030 % 7.63/7.82 2032. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 65 406 2031 % 7.63/7.82 2033. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 7.63/7.82 2034. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 1200 1000 1497 1862 % 7.63/7.82 2035. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ### DisjTree 378 623 256 1473 % 7.63/7.82 2036. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 7.63/7.82 2037. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 25 2034 2035 2036 % 7.63/7.82 2038. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 2008 2010 848 2037 % 7.63/7.82 2039. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 7.63/7.82 2040. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (e0)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 2038 2039 532 2019 % 7.63/7.82 2041. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 2033 2040 2022 % 7.63/7.82 2042. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (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 (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 2005 25 2041 210 % 7.63/7.82 2043. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.63/7.82 2044. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 7.63/7.82 2045. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 7.63/7.82 2046. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 2043 2044 2045 % 7.63/7.82 2047. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 2042 364 2046 % 7.63/7.82 2048. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (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 (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 2032 2003 2047 % 7.63/7.82 2049. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2027 2048 % 7.63/7.82 2050. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 2049 1999 % 7.63/7.82 2051. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### Or 2050 1516 % 7.63/7.82 2052. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 2051 % 7.63/7.82 2053. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 7.63/7.82 2054. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 7.63/7.82 2055. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) = (e1)) ### Or 2053 2054 % 7.63/7.82 2056. (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e3)) ### ConjTree 2055 % 7.63/7.82 2057. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ### DisjTree 1890 1992 2052 2056 % 7.63/7.82 2058. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2057 % 7.63/7.82 2059. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 1991 % 7.63/7.82 2060. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ### DisjTree 49 1235 107 1066 % 7.63/7.82 2061. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 1079 2060 53 % 7.63/7.82 2062. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 959 493 2061 % 7.63/7.82 2063. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 7.63/7.82 2064. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.63/7.82 2065. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 388 959 493 53 % 7.63/7.82 2066. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.63/7.82 2067. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 7.63/7.82 2068. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 7.63/7.82 2069. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e3) (e3)) = (e1)) ### TransEq 2066 2067 2068 % 7.63/7.82 2070. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 2065 2069 2046 448 % 7.63/7.82 2071. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) ### DisjTree 2064 2070 1239 467 % 7.63/7.82 2072. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e3) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 151 1079 2071 53 % 7.63/7.82 2073. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 755 2063 2072 % 7.63/7.82 2074. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e3) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 2073 462 603 2069 % 7.63/7.82 2075. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 58 959 493 2074 % 7.63/7.82 2076. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 230 968 2062 2075 % 7.63/7.82 2077. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 959 493 2073 % 7.63/7.82 2078. 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(((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 968 2062 2077 % 7.63/7.82 2079. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 623 2076 2078 % 7.63/7.82 2080. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 2079 551 287 % 7.63/7.82 2081. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 959 493 53 % 7.63/7.82 2082. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2080 2081 % 7.63/7.82 2083. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ### Or 2082 493 % 7.63/7.82 2084. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 7.63/7.82 2085. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ### DisjTree 2083 182 589 2084 % 7.63/7.82 2086. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 2085 551 287 % 7.63/7.82 2087. ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2086 % 7.63/7.82 2088. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ### DisjTree 2087 1992 1013 2056 % 7.63/7.82 2089. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) = (e2))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2088 % 7.63/7.82 2090. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ### ConjTree 2069 % 7.63/7.82 2091. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ### ConjTree 667 % 7.63/7.82 2092. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 7.63/7.82 2093. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 7.63/7.82 2094. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) = (e2)) ### Or 2092 2093 % 7.63/7.82 2095. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e0)) ### ConjTree 2094 % 7.63/7.82 2096. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 7.63/7.82 2097. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.63/7.82 2098. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 7.63/7.82 2099. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 7.63/7.82 2100. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 2097 2098 2099 % 7.63/7.82 2101. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ### DisjTree 458 2100 721 448 % 7.63/7.82 2102. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1041 515 2096 2101 % 7.63/7.82 2103. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 1057 124 2102 % 7.63/7.82 2104. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 7.63/7.82 2105. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 672 85 1299 331 % 7.63/7.82 2106. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 2104 1235 371 2105 % 7.63/7.82 2107. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 2106 1473 438 1022 % 7.63/7.82 2108. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2107 1057 124 151 % 7.63/7.82 2109. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 2103 759 789 2108 % 7.63/7.82 2110. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2109 85 % 7.63/7.82 2111. (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 2110 % 7.63/7.82 2112. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) = (e2)) ### DisjTree 2095 1356 406 2111 % 7.63/7.82 2113. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2112 % 7.63/7.82 2114. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 371 % 7.63/7.82 2115. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 7.63/7.82 2116. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 1097 203 741 1497 % 7.63/7.82 2117. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 2116 327 270 % 7.63/7.83 2118. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 182 551 2117 % 7.63/7.83 2119. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 7.63/7.83 2120. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1346 1000 603 1779 % 7.63/7.83 2121. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 1200 1000 705 1862 % 7.63/7.83 2122. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 7.63/7.83 2123. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 214 848 99 % 7.63/7.83 2124. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 2122 603 323 2123 % 7.63/7.83 2125. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2121 2124 1239 1342 % 7.63/7.83 2126. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1053 278 2120 2125 % 7.63/7.83 2127. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 7.63/7.83 2128. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2126 378 2127 1239 % 7.63/7.83 2129. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 405 2128 1148 % 7.63/7.83 2130. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ### DisjTree 378 246 107 1485 % 7.63/7.83 2131. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 196 278 1631 2130 % 7.63/7.83 2132. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 7.63/7.83 2133. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2131 378 2132 1239 % 7.63/7.83 2134. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 2129 2133 2046 % 7.63/7.83 2135. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 2134 789 2034 % 7.63/7.83 2136. ((e2) != (op (op (e0) (e0)) (op (e0) (e0)))) ((op (e3) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1789 127 % 7.63/7.83 2137. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 7.63/7.83 2138. ((e1) != (op (op (e0) (e0)) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1793 92 % 7.63/7.83 2139. (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) = (e3)) ((op (e3) (e3)) = (e2)) ### DisjTree 2136 2137 2138 % 7.63/7.83 2140. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 2139 1097 374 270 % 7.63/7.83 2141. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 2140 1631 2046 % 7.63/7.83 2142. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e0)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 2135 692 124 2141 % 7.63/7.83 2143. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 2135 182 1053 2142 % 7.63/7.83 2144. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 7.63/7.83 2145. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1478 378 2144 1239 % 7.63/7.83 2146. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 2145 789 2034 % 7.63/7.83 2147. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 2146 182 551 768 % 7.63/7.83 2148. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2118 2119 2143 2147 % 7.63/7.83 2149. ((op (e0) (e1)) = (e2)) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ### DisjTree 2115 2148 323 2123 % 7.63/7.83 2150. ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2034 2149 1239 1342 % 7.63/7.83 2151. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 196 2150 371 1142 % 7.63/7.83 2152. ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 2151 196 2046 % 7.63/7.83 2153. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 182 2152 2117 % 7.63/7.83 2154. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 7.63/7.83 2155. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 65 405 2126 1148 % 7.63/7.83 2156. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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 (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 1516 2155 2131 2046 % 7.63/7.83 2157. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1453 2156 789 2034 % 7.63/7.83 2158. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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 (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 2157 182 1053 2117 % 7.63/7.83 2159. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 2140 2133 2046 % 7.63/7.83 2160. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e0)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2134 692 124 2159 % 7.63/7.83 2161. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2134 182 1053 2160 % 7.63/7.83 2162. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2158 2161 789 2034 % 7.63/7.83 2163. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 755 2031 1374 % 7.63/7.83 2164. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 2139 1097 327 1437 % 7.63/7.83 2165. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 667 2164 196 697 % 7.63/7.83 2166. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 692 2163 2165 % 7.63/7.83 2167. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 182 2166 768 % 7.63/7.83 2168. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2167 2145 789 2034 % 7.63/7.83 2169. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 2153 2154 2162 2168 % 7.63/7.83 2170. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### Or 2169 1779 % 7.63/7.83 2171. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2135 1779 % 7.63/7.83 2172. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### Or 2170 2171 % 7.63/7.83 2173. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### ConjTree 2172 % 7.63/7.83 2174. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) = (e2)) ### DisjTree 2095 2173 406 1093 % 7.63/7.83 2175. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((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) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2174 % 7.63/7.83 2176. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 7.63/7.83 2177. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 7.63/7.83 2178. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ### Or 2176 2177 % 7.63/7.83 2179. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e1)) ### ConjTree 2178 % 7.63/7.83 2180. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 7.63/7.83 2181. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 755 714 2180 593 % 7.63/7.83 2182. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1204 2181 947 442 % 7.63/7.83 2183. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1630 2182 295 1203 % 7.63/7.83 2184. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 751 2183 374 270 % 7.63/7.83 2185. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 1516 1630 1053 2184 % 7.63/7.83 2186. ((e1) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2185 % 7.63/7.83 2187. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ### DisjTree 230 2179 1013 2186 % 7.63/7.83 2188. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) = (e0))))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2187 % 7.63/7.83 2189. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ### ConjTree 589 % 7.63/7.83 2190. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 978 % 7.63/7.83 2191. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.63/7.83 2192. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.63/7.84 2193. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 214 128 1862 % 7.63/7.84 2194. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 955 2100 1497 1771 % 7.63/7.84 2195. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 2194 2031 1374 % 7.63/7.84 2196. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 1079 1239 2195 % 7.63/7.84 2197. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 2196 182 256 317 % 7.63/7.84 2198. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 2197 278 295 2100 % 7.63/7.84 2199. ((e2) != (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 724 127 % 7.63/7.84 2200. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 7.63/7.84 2201. ((e0) != (op (op (e1) (e1)) (e1))) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans-sym 728 13 % 7.63/7.84 2202. (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) = (e3)) ((op (e3) (e3)) = (e2)) ### DisjTree 2199 2200 2201 % 7.63/7.84 2203. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 955 2100 1497 1862 % 7.63/7.84 2204. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 2203 2031 1374 % 7.63/7.84 2205. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 2202 1239 2204 % 7.63/7.84 2206. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2198 2205 128 1862 % 7.63/7.84 2207. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 2197 114 128 1862 % 7.63/7.84 2208. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 2100 2031 1374 % 7.63/7.84 2209. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2207 1991 295 2208 % 7.63/7.84 2210. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (e1)) ### DisjTree 2192 2193 2206 2209 % 7.63/7.84 2211. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.63/7.84 2212. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 7.63/7.84 2213. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 117 529 2212 497 % 7.63/7.84 2214. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 2213 1991 295 2100 % 7.63/7.84 2215. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (e1)) ### DisjTree 2211 2193 2206 2214 % 7.63/7.84 2216. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 7.63/7.84 2217. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 2139 2210 2215 2216 % 7.63/7.84 2218. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 7.63/7.84 2219. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 230 2217 2218 239 % 7.63/7.84 2220. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 7.63/7.84 2221. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 7.63/7.84 2222. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 7.63/7.84 2223. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ### DisjTree 1500 2222 364 636 % 7.63/7.84 2224. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 755 2221 2223 % 7.63/7.84 2225. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 196 2206 2220 2224 % 7.63/7.84 2226. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 7.63/7.84 2227. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 2225 2226 2031 % 7.63/7.84 2228. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 2219 2227 2046 % 7.63/7.84 2229. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 2191 2163 2228 % 7.63/7.84 2230. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2229 2204 % 7.63/7.84 2231. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.63/7.84 2232. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 41 1079 1239 2204 % 7.63/7.84 2233. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.63/7.84 2234. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (e1)) ### DisjTree 2233 2193 2206 210 % 7.63/7.84 2235. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 2232 37 2234 % 7.63/7.84 2236. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 230 2235 741 239 % 7.63/7.84 2237. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 151 1079 62 2203 % 7.63/7.84 2238. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.63/7.84 2239. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 7.63/7.84 2240. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 196 278 2239 1500 % 7.63/7.84 2241. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (e1)) ### DisjTree 2238 2240 2198 210 % 7.63/7.84 2242. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 2241 2205 128 1862 % 7.63/7.84 2243. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 2237 37 2242 % 7.63/7.84 2244. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 2243 741 2031 % 7.63/7.84 2245. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ### DisjTree 230 2236 2244 2046 % 7.63/7.84 2246. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 2231 2163 2245 % 7.63/7.84 2247. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ### Or 2230 2246 % 7.63/7.84 2248. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ### Or 2247 2232 % 7.63/7.84 2249. ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ### ConjTree 2248 % 7.63/7.84 2250. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((e2) != (e3)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 2249 2179 1013 1093 % 7.63/7.84 2251. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2250 % 7.63/7.84 2252. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 7.63/7.84 2253. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) = (e0))))) ### ConjTree 2252 % 7.63/7.84 2254. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 7.63/7.84 2255. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) = (e1))))) ### ConjTree 2254 % 7.63/7.84 2256. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 7.63/7.84 2257. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ### ConjTree 2256 % 7.63/7.84 2258. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 7.63/7.84 2259. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) ### ConjTree 2258 % 7.63/7.84 2260. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 7.63/7.84 2261. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 7.63/7.84 2262. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 7.63/7.84 2263. ((e2) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e3)) ### TransEq-sym 2261 2262 127 % 7.63/7.84 2264. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 117 709 2260 2263 % 7.63/7.84 2265. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 7.63/7.84 2266. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1625 709 2265 2263 % 7.63/7.84 2267. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 2264 714 2266 1379 % 7.63/7.84 2268. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 751 2267 374 270 % 7.63/7.84 2269. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 1516 182 1053 2268 % 7.63/7.84 2270. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2269 % 7.63/7.84 2271. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.63/7.84 2272. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.63/7.84 2273. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 7.63/7.84 2274. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) = (e2)) ### TransEq-sym 2271 2272 2273 % 7.63/7.84 2275. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 2274 % 7.63/7.84 2276. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 7.63/7.84 2277. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 7.63/7.84 2278. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ### Or 2276 2277 % 7.63/7.84 2279. (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) ### ConjTree 2278 % 7.63/7.84 2280. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ### DisjTree 230 2270 2275 2279 % 7.63/7.84 2281. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) = (e0))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2280 % 7.63/7.84 2282. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.63/7.84 2283. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 7.63/7.84 2284. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ### DisjTree 95 1235 364 2283 % 7.63/7.84 2285. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 7.63/7.84 2286. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 117 2284 2285 2263 % 7.63/7.84 2287. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 405 2286 159 % 7.63/7.84 2288. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 256 772 239 % 7.63/7.84 2289. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 2282 2287 2288 % 7.63/7.84 2290. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2289 259 % 7.63/7.84 2291. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ### ConjTree 2290 % 7.63/7.84 2292. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 2291 1356 2275 2279 % 7.63/7.84 2293. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2292 % 7.63/7.84 2294. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 2274 % 7.63/7.84 2295. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.63/7.84 2296. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 7.63/7.84 2297. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 7.63/7.84 2298. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) = (e2)) ### TransEq 2295 2296 2297 % 7.63/7.84 2299. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ### ConjTree 2298 % 7.63/7.84 2300. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ### ConjTree 1388 % 7.63/7.84 2301. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 7.63/7.84 2302. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 7.63/7.84 2303. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) = (e3)) ### Or 2301 2302 % 7.63/7.84 2304. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e3)) != (e0)) ### ConjTree 2303 % 7.63/7.84 2305. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 943 85 323 984 % 7.63/7.84 2306. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 7.63/7.84 2307. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ### DisjTree 2306 2069 2202 442 % 7.63/7.84 2308. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 7.63/7.84 2309. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1022 2307 49 2308 % 7.63/7.84 2310. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 65 512 2309 210 % 7.63/7.84 2311. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 2305 2310 371 120 % 7.63/7.84 2312. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### ConjTree 2311 % 7.63/7.84 2313. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) = (e3)) ### DisjTree 2304 1992 2312 443 % 7.63/7.84 2314. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2313 % 7.63/7.84 2315. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1370 714 1139 1379 % 7.63/7.84 2316. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 1097 214 848 1820 % 7.63/7.84 2317. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 2316 196 159 % 7.63/7.84 2318. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 7.63/7.84 2319. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ### DisjTree 2318 250 2298 331 % 7.63/7.84 2320. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ### DisjTree 270 2319 2263 442 % 7.63/7.84 2321. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 2315 182 2317 2320 % 7.63/7.84 2322. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 7.63/7.84 2323. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 2315 182 1053 2320 % 7.63/7.84 2324. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 1097 856 1437 % 7.63/7.84 2325. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 14 2324 196 159 % 7.63/7.84 2326. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 182 2325 768 % 7.63/7.84 2327. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 755 714 1139 1379 % 7.63/7.84 2328. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (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 (e3) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1478 564 1479 856 % 7.63/7.85 2329. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 2327 1000 2328 1971 % 7.63/7.85 2330. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1478 378 679 2329 % 7.63/7.85 2331. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 58 714 1139 1379 % 7.63/7.85 2332. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2326 2330 2331 1022 % 7.63/7.85 2333. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2321 2322 2323 2332 % 7.63/7.85 2334. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2333 2315 % 7.63/7.85 2335. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2334 % 7.63/7.85 2336. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) = (e3)) ### DisjTree 2304 2335 2275 443 % 7.63/7.85 2337. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (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) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2336 % 7.63/7.85 2338. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 442 % 7.63/7.85 2339. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 7.63/7.85 2340. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 7.63/7.85 2341. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) = (e3)) ### Or 2339 2340 % 7.63/7.85 2342. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e3)) != (e1)) ### ConjTree 2341 % 7.63/7.85 2343. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 7.63/7.85 2344. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 239 281 564 2343 % 7.63/7.85 2345. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2344 705 568 2139 % 7.63/7.85 2346. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 7.63/7.85 2347. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2345 281 564 2346 % 7.63/7.85 2348. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 751 2347 364 697 % 7.63/7.85 2349. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 7.63/7.85 2350. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 7.63/7.85 2351. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 2350 551 364 146 % 7.63/7.85 2352. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) != (e1)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2348 2349 2351 1811 % 7.63/7.85 2353. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 751 405 364 697 % 7.63/7.85 2354. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### Or 2352 2353 % 7.63/7.85 2355. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### Or 2354 751 % 7.63/7.85 2356. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### ConjTree 2355 % 7.63/7.85 2357. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ### DisjTree 142 2342 2356 449 % 7.63/7.85 2358. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2357 % 7.63/7.85 2359. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ### ConjTree 963 % 7.63/7.85 2360. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.63/7.85 2361. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 7.63/7.85 2362. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) = (e3)) ((op (e3) (e2)) = (e1)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ### DisjTree 1215 2361 2298 448 % 7.63/7.85 2363. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 7.63/7.85 2364. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 755 281 2362 2363 % 7.63/7.85 2365. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 7.63/7.85 2366. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 755 2365 636 % 7.63/7.85 2367. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 2360 2364 2366 % 7.63/7.85 2368. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### Or 2367 679 % 7.63/7.85 2369. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 7.63/7.85 2370. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 7.63/7.85 2371. ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e0)) ### TransEq 2369 2370 127 % 7.63/7.85 2372. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 29 959 679 2371 % 7.63/7.85 2373. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ### Or 2368 2372 % 7.63/7.85 2374. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ### ConjTree 2373 % 7.63/7.85 2375. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((e0) != (e3)) ### DisjTree 2374 2342 2275 449 % 7.63/7.85 2376. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2375 % 7.63/7.85 2377. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 448 % 7.63/7.85 2378. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 7.63/7.85 2379. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 2378 182 2121 684 % 7.63/7.85 2380. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 7.63/7.85 2381. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 7.63/7.85 2382. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 705 1142 2381 % 7.63/7.85 2383. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 7.63/7.85 2384. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 955 2382 2383 1092 % 7.63/7.85 2385. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 2380 182 2384 684 % 7.63/7.85 2386. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 7.63/7.85 2387. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 2386 182 1342 684 % 7.63/7.85 2388. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (e3)) ((e0) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 2379 2385 1239 2387 % 7.63/7.85 2389. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 7.63/7.85 2390. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 2389 182 705 684 % 7.63/7.85 2391. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 7.63/7.85 2392. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ### DisjTree 1795 2390 1142 2391 % 7.63/7.85 2393. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e2) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### Or 2388 2392 % 7.63/7.85 2394. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### Or 2393 1087 % 7.63/7.85 2395. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e2) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ### ConjTree 2394 % 7.63/7.85 2396. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 7.63/7.85 2397. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 7.63/7.85 2398. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ### Or 2396 2397 % 7.63/7.85 2399. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e2)) ### ConjTree 2398 % 7.63/7.85 2400. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ### DisjTree 142 2395 2399 1093 % 7.63/7.85 2401. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2400 % 7.63/7.85 2402. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 7.63/7.85 2403. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 110 114 117 1374 % 7.63/7.85 2404. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 7.63/7.85 2405. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 239 730 1142 2404 % 7.63/7.85 2406. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e3) (e3)) = (e0)) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1453 2402 2403 2405 % 7.63/7.85 2407. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 7.63/7.85 2408. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 2406 2069 2407 1092 % 7.63/7.85 2409. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### Or 2408 512 % 7.63/7.85 2410. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 2409 % 7.63/7.85 2411. ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2410 1992 2399 1093 % 7.63/7.85 2412. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ### ConjTree 2411 % 7.63/7.85 2413. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.63/7.85 2414. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 7.63/7.85 2415. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=) % 7.63/7.85 2416. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq 2413 2414 2415 % 7.63/7.85 2417. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ### ConjTree 2416 % 7.63/7.85 2418. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 1092 % 7.63/7.85 2419. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 7.63/7.85 2420. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) ### ConjTree 2419 % 7.63/7.85 2421. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 7.63/7.85 2422. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) ### ConjTree 2421 % 7.63/7.85 2423. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 7.63/7.85 2424. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) ### ConjTree 2423 % 7.63/7.85 2425. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 7.63/7.85 2426. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ### ConjTree 2425 % 7.63/7.85 2427. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) 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/\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. 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(((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2 4 6 8 866 867 930 1037 1042 1338 1339 1402 1407 1450 1535 1536 1603 1604 1767 1881 1883 1885 1887 1889 1950 1951 1952 1987 2058 2059 2089 2090 2091 2113 2114 2175 2188 2189 2190 2251 2253 2255 2257 2259 2281 2293 2294 2299 2300 2314 2337 2338 2358 2359 2376 2377 2401 2412 2417 2418 2420 2422 2424 2426 % 7.63/7.85 2428. 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) 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(((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((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 (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### And 2427 % 7.71/7.86 2429. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = 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\/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) /\ ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))) ### ConjTree 2428 % 7.71/7.86 2430. 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(((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ### ConjTree 2429 % 7.71/7.86 2431. ((((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)))))))))))))))))))))))))))))))))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) = (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) = (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) = (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) = (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e0)) 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/\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) = (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) = (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) = (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) = (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) = (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) = (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) = (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) = (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) = (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) = (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) = (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) /\ ((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) /\ (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e0) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (e1)) (e1)))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (e1)) (e1)))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (e2)) (e2)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (e2)) (e2)))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (e0)) (e0)))))) (-. (((e1) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (e2)) (e2)))))) (-. (((e2) = (op (op (e0) (e0)) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (e0)) (e0)))))) (-. (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (e1)) (e1)))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) /\ ((((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) /\ ((((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) /\ ((((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) /\ (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))) ### ConjTree 2431 % 7.71/7.86 % SZS output end Proof % 7.71/7.86 (* END-PROOF *) %------------------------------------------------------------------------------