%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG160+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:06:04 EDT 2022 % Result : Unsatisfiable 12.48s 12.71s % Output : Proof 13.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ALG160+1 : TPTP v8.1.0. Released v2.7.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n029.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 8 03:02:05 EDT 2022 % 0.12/0.34 % CPUTime : % 12.48/12.71 % SZS status Theorem % 12.48/12.71 (* PROOF-FOUND *) % 12.48/12.71 (* BEGIN-PROOF *) % 12.48/12.71 % SZS output start Proof % 12.48/12.71 1. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.48/12.71 2. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 1 % 12.48/12.71 3. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.48/12.71 4. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ### ConjTree 3 % 12.48/12.71 5. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.48/12.71 6. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ### ConjTree 5 % 12.48/12.71 7. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.48/12.71 8. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ### ConjTree 7 % 12.48/12.71 9. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.48/12.71 10. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### ConjTree 9 % 12.48/12.71 11. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.48/12.71 12. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 11 % 12.48/12.71 13. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.48/12.71 14. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.48/12.71 15. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 12.48/12.71 16. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq 13 14 15 % 12.48/12.71 17. (((op (e0) (e0)) = (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) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 16 % 12.48/12.71 18. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 12.48/12.71 19. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.71 20. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ### Or 18 19 % 12.48/12.71 21. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 20 % 12.48/12.71 22. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.48/12.71 23. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.48/12.71 24. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 12.48/12.71 25. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 22 23 24 % 12.48/12.71 26. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 (e0) (e1)) != (op (e0) (e2))) ### ConjTree 25 % 12.48/12.71 27. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.48/12.71 28. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.48/12.71 29. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 12.48/12.71 30. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 27 28 29 % 12.48/12.71 31. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 30 % 12.48/12.71 32. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 12.48/12.71 33. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 12.48/12.71 34. ((e0) != (e0)) ### NotEqual % 12.48/12.71 35. ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 32 33 34 % 12.48/12.71 36. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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) (e1)) = (e0)) ((e0) != (e1)) ### ConjTree 35 % 12.48/12.71 37. (((op (e1) (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) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ### ConjTree 20 % 12.48/12.71 38. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.48/12.71 39. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.48/12.71 40. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 12.48/12.71 41. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq-sym 38 39 40 % 12.48/12.71 42. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 41 % 12.48/12.71 43. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 12.48/12.71 44. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.71 45. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.48/12.71 46. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.48/12.71 47. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 12.48/12.71 48. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 45 46 47 % 12.48/12.71 49. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.71 50. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.71 51. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.71 52. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 12.48/12.71 53. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 50 51 52 % 12.48/12.71 54. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.48/12.71 55. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.48/12.71 56. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=) % 12.48/12.71 57. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq 54 55 56 % 12.48/12.71 58. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 12.48/12.71 59. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 12.48/12.71 60. ((e2) != (e2)) ### NotEqual % 12.48/12.71 61. ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 58 59 60 % 12.48/12.71 62. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 12.48/12.71 63. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 12.48/12.71 64. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 12.48/12.71 65. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 62 63 64 % 12.48/12.71 66. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 12.48/12.71 67. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 12.48/12.71 68. ((e0) != (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e1)) ### TransEq-sym 66 67 34 % 12.48/12.71 69. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 12.48/12.71 70. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 12.48/12.71 71. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 12.48/12.71 72. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq 69 70 71 % 12.48/12.71 73. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.71 74. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 12.48/12.71 75. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 12.48/12.71 76. ((e1) != (e1)) ### NotEqual % 12.48/12.71 77. ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) = (e2)) ### TransEq-sym 74 75 76 % 12.48/12.71 78. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.48/12.71 79. (((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 (e2) (e1)) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 72 73 77 78 % 12.48/12.71 80. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.48/12.71 81. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.48/12.71 82. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 12.48/12.71 83. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 80 81 82 % 12.48/12.71 84. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 12.48/12.71 85. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 12.48/12.71 86. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 12.48/12.71 87. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 84 85 86 % 12.48/12.71 88. ((e3) != (e3)) ### NotEqual % 12.48/12.71 89. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 12.48/12.71 90. ((op (e3) (op (e3) (e3))) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 88 89 % 12.48/12.71 91. ((e0) != (op (e3) (op (e3) (e3)))) ((op (e3) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) ### Trans-sym 90 34 % 12.48/12.71 92. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 12.48/12.71 93. ((op (e3) (op (e3) (e3))) != (e0)) ((op (e3) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) ### Trans 90 34 % 12.48/12.71 94. ((op (op (e3) (op (e3) (e3))) (e3)) != (op (e0) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e0)) ### NotEqual 93 88 % 12.48/12.71 95. ((e1) != (op (op (e3) (op (e3) (e3))) (e3))) ((op (e0) (e3)) = (e1)) ((op (e3) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) ### Trans-sym 94 76 % 12.48/12.71 96. (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e0)) ### DisjTree 91 92 95 % 12.48/12.71 97. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) = (e0)) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 79 83 87 96 % 12.48/12.71 98. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 25 65 68 97 % 12.48/12.71 99. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.71 100. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.71 101. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 12.48/12.71 102. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq 99 100 101 % 12.48/12.71 103. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.71 104. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 12.48/12.71 105. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 12.48/12.71 106. ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) ### TransEq-sym 104 105 76 % 12.48/12.71 107. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 98 102 103 106 % 12.48/12.71 108. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom % 12.48/12.71 109. ((op (e1) (op (e1) (e1))) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ### NotEqual 76 108 % 12.48/12.71 110. ((e2) != (op (e1) (op (e1) (e1)))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 109 60 % 12.48/12.71 111. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 12.48/12.71 112. ((op (e1) (op (e1) (e1))) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans 109 60 % 12.48/12.71 113. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) ### NotEqual 112 76 % 12.48/12.71 114. ((e0) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 113 34 % 12.48/12.71 115. (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) ### DisjTree 110 111 114 % 12.48/12.71 116. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.71 117. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.71 118. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.71 119. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 12.48/12.71 120. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq 117 118 119 % 12.48/12.71 121. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 115 41 116 120 % 12.48/12.71 122. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 61 107 121 % 12.48/12.71 123. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 41 122 % 12.48/12.71 124. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.71 125. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.71 126. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 12.48/12.71 127. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 124 125 126 % 12.48/12.71 128. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (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) (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 (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 127 98 121 % 12.48/12.71 129. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 12.48/12.71 130. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 12.48/12.71 131. ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 129 130 76 % 12.48/12.71 132. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.48/12.71 133. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.48/12.71 134. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.48/12.71 135. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 12.48/12.71 136. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 133 134 135 % 12.48/12.71 137. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 12.48/12.71 138. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 12.48/12.71 139. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 12.48/12.71 140. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq 137 138 139 % 12.48/12.71 141. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.48/12.71 142. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.48/12.71 143. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 12.48/12.71 144. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) = (e2)) ### TransEq 141 142 143 % 12.48/12.71 145. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 140 77 144 % 12.48/12.71 146. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ### DisjTree 131 121 132 145 % 12.48/12.71 147. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 12.48/12.71 148. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 12.48/12.71 149. ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e0)) ### TransEq 147 148 60 % 12.48/12.71 150. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.48/12.71 151. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.48/12.71 152. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 12.48/12.71 153. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 150 151 152 % 12.48/12.71 154. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.48/12.71 155. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.48/12.71 156. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 12.48/12.71 157. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 154 155 156 % 12.48/12.71 158. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.71 159. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 12.48/12.71 160. ((op (e2) (op (e2) (e2))) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) ### NotEqual 60 159 % 12.48/12.71 161. ((e3) != (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans-sym 160 88 % 12.48/12.71 162. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 12.48/12.71 163. ((op (e2) (op (e2) (e2))) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans 160 88 % 12.48/12.71 164. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e3)) ### NotEqual 163 60 % 12.48/12.71 165. ((e0) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e3) (e2)) = (e0)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) ### Trans-sym 164 34 % 12.48/12.71 166. (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e3)) ### DisjTree 161 162 165 % 12.48/12.71 167. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e2)) = (e0)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ### DisjTree 153 41 158 166 % 12.48/12.71 168. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 25 65 157 167 % 12.48/12.71 169. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 149 153 68 168 % 12.48/12.71 170. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 128 146 169 79 % 12.48/12.71 171. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.71 172. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 61 171 106 % 12.48/12.71 173. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 41 172 % 12.48/12.71 174. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 123 170 173 131 % 12.48/12.71 175. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 12.48/12.71 176. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 12.48/12.71 177. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 12.48/12.71 178. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 175 176 177 % 12.48/12.71 179. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 12.48/12.71 180. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 12.48/12.71 181. ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 179 180 60 % 12.48/12.71 182. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.71 183. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.71 184. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 12.48/12.71 185. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 182 183 184 % 12.48/12.71 186. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 12.48/12.71 187. ((op (e0) (op (e0) (e0))) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ### NotEqual 34 186 % 12.48/12.71 188. ((e3) != (op (e0) (op (e0) (e0)))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans-sym 187 88 % 12.48/12.71 189. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 12.48/12.71 190. ((op (e0) (op (e0) (e0))) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans 187 88 % 12.48/12.71 191. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e3)) ### NotEqual 190 34 % 12.48/12.71 192. ((e1) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans-sym 191 76 % 12.48/12.71 193. (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e3)) ### DisjTree 188 189 192 % 12.48/12.71 194. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 12.48/12.71 195. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 12.48/12.71 196. ((e1) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 194 195 76 % 12.48/12.71 197. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 185 193 196 % 12.48/12.71 198. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 12.48/12.71 199. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=) % 12.48/12.71 200. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 198 199 76 % 12.48/12.71 201. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.48/12.71 202. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.48/12.71 203. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 12.48/12.71 204. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 201 202 203 % 12.48/12.71 205. (((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) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 41 204 % 12.48/12.71 206. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 12.48/12.71 207. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 12.48/12.71 208. ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) = (e1)) ### TransEq 206 207 88 % 12.48/12.71 209. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.48/12.71 210. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.48/12.71 211. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 12.48/12.71 212. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq-sym 209 210 211 % 12.48/12.71 213. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.48/12.71 214. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.48/12.71 215. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=) % 12.48/12.71 216. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq 213 214 215 % 12.48/12.71 217. (((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)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 205 208 212 216 % 12.48/12.71 218. (((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)) != (op (e2) (e2))) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 173 208 212 216 % 12.48/12.71 219. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 197 217 218 131 % 12.48/12.71 220. (((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))))) ((e1) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e0)) != (e1)) ### DisjTree 49 174 178 219 % 12.48/12.71 221. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (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)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 44 35 48 220 % 12.48/12.72 222. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.72 223. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.48/12.72 224. (((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 (e2) (e1)) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 149 222 77 223 % 12.48/12.72 225. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.72 226. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.72 227. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 228. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 229. ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 227 228 34 % 12.48/12.72 230. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) = (e0)) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 229 106 87 96 % 12.48/12.72 231. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 25 65 68 230 % 12.48/12.72 232. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 61 231 121 % 12.48/12.72 233. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 208 41 232 % 12.48/12.72 234. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 12.48/12.72 235. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 12.48/12.72 236. ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 234 235 34 % 12.48/12.72 237. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 12.48/12.72 238. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 12.48/12.72 239. ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) = (e0)) ### TransEq 237 238 60 % 12.48/12.72 240. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 61 239 121 % 12.48/12.72 241. ((e0) != (op (e1) (op (e1) (e1)))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans-sym 109 34 % 12.48/12.72 242. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 12.48/12.72 243. ((op (e1) (op (e1) (e1))) != (e0)) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans 109 34 % 12.48/12.72 244. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e0) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e0)) ### NotEqual 243 76 % 12.48/12.72 245. ((e2) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans-sym 244 60 % 12.48/12.72 246. (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e0)) ### DisjTree 241 242 245 % 12.48/12.72 247. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.72 248. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 246 61 247 106 % 12.48/12.72 249. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 208 41 248 % 12.48/12.72 250. (((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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 233 236 240 249 % 12.48/12.72 251. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 146 61 231 121 % 12.48/12.72 252. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 41 251 % 12.48/12.72 253. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.72 254. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.72 255. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=) % 12.48/12.72 256. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 253 254 255 % 12.48/12.72 257. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 146 127 239 121 % 12.48/12.72 258. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 252 256 257 246 % 12.48/12.72 259. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 250 258 173 131 % 12.48/12.72 260. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 261. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 262. ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 260 261 34 % 12.48/12.72 263. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e3)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 226 259 178 262 % 12.48/12.72 264. (((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 225 35 48 263 % 12.48/12.72 265. (((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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 221 224 264 % 12.48/12.72 266. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 12.48/12.72 267. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 12.48/12.72 268. ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 266 267 76 % 12.48/12.72 269. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (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)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 265 268 % 12.48/12.72 270. (((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 (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e3)) = (e1)) ### Or 43 269 % 12.48/12.72 271. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (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)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 270 % 12.48/12.72 272. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 12.48/12.72 273. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ### Or 272 68 % 12.48/12.72 274. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e2)) = (e1)) ### ConjTree 273 % 12.48/12.72 275. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.72 276. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) ### ConjTree 275 % 12.48/12.72 277. (((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)))))))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ### ConjTree 77 % 12.48/12.72 278. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.48/12.72 279. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e3)) = (e2)) ### Or 278 268 % 12.48/12.72 280. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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) (e2)) = (e1)) ### ConjTree 279 % 12.48/12.72 281. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.72 282. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 281 35 48 196 % 12.48/12.72 283. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 282 % 12.48/12.72 284. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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 20 % 12.48/12.72 285. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.48/12.72 286. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.72 287. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.72 288. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 12.48/12.72 289. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 12.48/12.72 290. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 288 289 34 % 12.48/12.72 291. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 12.48/12.72 292. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 12.48/12.72 293. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 12.48/12.72 294. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 291 292 293 % 12.48/12.72 295. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.48/12.72 296. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.48/12.72 297. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 298. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 295 296 297 % 12.48/12.72 299. (((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) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 290 294 298 % 12.48/12.72 300. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.48/12.72 301. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.48/12.72 302. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 303. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 300 301 302 % 12.48/12.72 304. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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))))) ### DisjTree 299 145 169 303 % 12.48/12.72 305. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 12.48/12.72 306. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 12.48/12.72 307. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 305 306 76 % 12.48/12.72 308. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.48/12.72 309. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.48/12.72 310. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 12.48/12.72 311. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 308 309 310 % 12.48/12.72 312. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.48/12.72 313. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.48/12.72 314. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=) % 12.48/12.72 315. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 312 313 314 % 12.48/12.72 316. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 172 311 315 % 12.48/12.72 317. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 41 316 % 12.48/12.72 318. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.48/12.72 319. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.48/12.72 320. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 12.48/12.72 321. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 318 319 320 % 12.48/12.72 322. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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))))) ### DisjTree 299 304 317 321 % 12.48/12.72 323. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.48/12.72 324. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 12.48/12.72 325. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 12.48/12.72 326. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 324 325 34 % 12.48/12.72 327. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.72 328. ((e1) != (op (e0) (op (e0) (e0)))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans-sym 187 76 % 12.48/12.72 329. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 12.48/12.72 330. ((op (e0) (op (e0) (e0))) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans 187 76 % 12.48/12.72 331. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) ### NotEqual 330 34 % 12.48/12.72 332. ((e3) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e1) (e0)) = (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans-sym 331 88 % 12.48/12.72 333. (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) ### DisjTree 328 329 332 % 12.48/12.72 334. (((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) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 333 294 298 % 12.48/12.72 335. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.72 336. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 12.48/12.72 337. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 12.48/12.72 338. ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 336 337 60 % 12.48/12.72 339. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 12.48/12.72 340. ((op (e1) (op (e1) (e1))) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ### NotEqual 76 339 % 12.48/12.72 341. ((e0) != (op (e1) (op (e1) (e1)))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans-sym 340 34 % 12.48/12.72 342. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 12.48/12.72 343. ((op (e1) (op (e1) (e1))) != (e0)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans 340 34 % 12.48/12.72 344. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e0) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) ### NotEqual 343 76 % 12.48/12.72 345. ((e3) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e0) (e1)) = (e3)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans-sym 344 88 % 12.48/12.72 346. (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) ### DisjTree 341 342 345 % 12.48/12.72 347. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 25 346 68 167 % 12.48/12.72 348. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.72 349. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 347 348 106 % 12.48/12.72 350. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 41 349 % 12.48/12.72 351. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.48/12.72 352. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.48/12.72 353. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 12.48/12.72 354. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 351 352 353 % 12.48/12.72 355. (((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))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 350 354 196 % 12.48/12.72 356. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 12.48/12.72 357. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 12.48/12.72 358. ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 356 357 76 % 12.48/12.72 359. (((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 (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 333 358 298 % 12.48/12.72 360. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.48/12.72 361. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 12.48/12.72 362. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 12.48/12.72 363. ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e1)) ### TransEq 361 362 88 % 12.48/12.72 364. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 359 360 178 363 % 12.48/12.72 365. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 12.48/12.72 366. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 12.48/12.72 367. ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e1)) ### TransEq 365 366 60 % 12.48/12.72 368. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.72 369. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 12.48/12.72 370. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 12.48/12.72 371. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 12.48/12.72 372. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 369 370 371 % 12.48/12.72 373. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.48/12.72 374. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 12.48/12.72 375. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 12.48/12.72 376. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 12.48/12.72 377. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) = (e2)) ### TransEq 374 375 376 % 12.48/12.72 378. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 149 372 373 377 % 12.48/12.72 379. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 102 368 378 % 12.48/12.72 380. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.48/12.72 381. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.48/12.72 382. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 12.48/12.72 383. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 380 381 382 % 12.48/12.72 384. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 367 379 383 % 12.48/12.72 385. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.48/12.72 386. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 307 384 385 216 % 12.48/12.72 387. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 388. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 389. ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e1)) ### TransEq 387 388 88 % 12.48/12.72 390. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (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) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 386 294 389 % 12.48/12.72 391. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (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))) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 390 193 196 % 12.48/12.72 392. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 335 355 364 391 % 12.48/12.72 393. (((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) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 327 35 334 392 % 12.48/12.72 394. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 395. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 396. ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e0)) ### TransEq 394 395 88 % 12.48/12.72 397. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 333 294 396 % 12.48/12.72 398. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.48/12.72 399. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 397 398 41 363 % 12.48/12.72 400. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.48/12.72 401. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.48/12.72 402. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 12.48/12.72 403. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) = (e0)) ### TransEq-sym 400 401 402 % 12.48/12.72 404. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.48/12.72 405. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.48/12.72 406. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 12.48/12.72 407. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq 404 405 406 % 12.48/12.72 408. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 178 407 294 % 12.48/12.72 409. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.48/12.72 410. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.48/12.72 411. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.48/12.72 412. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 12.48/12.72 413. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 410 411 412 % 12.48/12.72 414. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 333 409 413 363 % 12.48/12.72 415. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 364 399 408 414 % 12.48/12.72 416. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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 (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 415 294 396 % 12.48/12.72 417. (((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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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)) = (e2)) ((e0) != (e2)) ### DisjTree 326 299 393 416 % 12.48/12.72 418. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e3)) ((e2) != (e3)) (((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) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e2)) = (e3)) ### Or 323 417 % 12.48/12.72 419. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 420. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 12.48/12.72 421. ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 419 420 76 % 12.48/12.72 422. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((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)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### DisjTree 418 145 169 421 % 12.48/12.72 423. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.48/12.72 424. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.48/12.72 425. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=) % 12.48/12.72 426. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq 423 424 425 % 12.48/12.72 427. (((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 (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ### DisjTree 65 212 426 311 % 12.48/12.72 428. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e2)) != (op (e2) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e0)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((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)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### DisjTree 418 422 427 131 % 12.48/12.72 429. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((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))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((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) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 287 322 178 428 % 12.48/12.72 430. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (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) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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 (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (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 (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((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)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 286 35 48 429 % 12.48/12.72 431. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.72 432. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.72 433. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((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) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 393 145 149 303 % 12.48/12.72 434. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (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 (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e1) (e2)) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 392 433 317 131 % 12.48/12.72 435. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 12.48/12.72 436. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 12.48/12.72 437. ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 435 436 34 % 12.48/12.72 438. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.48/12.72 439. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.48/12.72 440. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 12.48/12.72 441. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e2)) ### TransEq 438 439 440 % 12.48/12.72 442. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom % 12.48/12.72 443. ((op (e0) (op (e0) (e0))) != (op (e0) (e3))) ((op (e0) (e0)) = (e3)) ### NotEqual 34 442 % 12.48/12.72 444. ((e1) != (op (e0) (op (e0) (e0)))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans-sym 443 76 % 12.48/12.72 445. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 12.48/12.72 446. ((op (e0) (op (e0) (e0))) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans 443 76 % 12.48/12.72 447. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) ### NotEqual 446 34 % 12.48/12.72 448. ((e2) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans-sym 447 60 % 12.48/12.73 449. (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) ### DisjTree 444 445 448 % 12.48/12.73 450. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.48/12.73 451. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 347 450 378 % 12.48/12.73 452. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 12.48/12.73 453. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 12.48/12.73 454. ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 452 453 60 % 12.48/12.73 455. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 451 454 196 % 12.48/12.73 456. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 455 149 421 % 12.48/12.73 457. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((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) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 393 433 456 321 % 12.48/12.73 458. (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 432 434 437 457 % 12.48/12.73 459. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((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))))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((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) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e1) (e2)) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 431 35 48 458 % 12.48/12.73 460. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.73 461. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.73 462. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 12.48/12.73 463. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 12.48/12.73 464. ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 462 463 76 % 12.48/12.73 465. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 53 178 262 % 12.48/12.73 466. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 355 127 317 321 % 12.48/12.73 467. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 12.48/12.73 468. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 12.48/12.73 469. ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e2)) ### TransEq 467 468 88 % 12.48/12.73 470. (((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 (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 72 106 469 383 % 12.48/12.73 471. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) (((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))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 145 466 239 470 % 12.48/12.73 472. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 465 41 471 % 12.48/12.73 473. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.73 474. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.48/12.73 475. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 12.48/12.73 476. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 473 474 475 % 12.48/12.73 477. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 61 231 121 % 12.48/12.73 478. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 208 41 477 % 12.48/12.73 479. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 127 239 121 % 12.48/12.73 480. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 478 236 479 246 % 12.48/12.73 481. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 476 53 127 480 % 12.48/12.73 482. ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 169 256 472 481 % 12.48/12.73 483. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (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)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 482 338 354 196 % 12.48/12.73 484. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 355 145 483 303 % 12.48/12.73 485. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (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)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 355 484 317 131 % 12.48/12.73 486. (((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))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 461 485 178 262 % 12.48/12.73 487. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (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)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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 (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 460 35 48 486 % 12.48/12.73 488. ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((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))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((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 (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((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 (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 430 459 487 % 12.48/12.73 489. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (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) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (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 (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (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 (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((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)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ### Or 285 488 % 12.48/12.73 490. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((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))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((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 (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((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 (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### Or 489 77 % 12.48/12.73 491. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.48/12.73 492. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.48/12.73 493. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 12.48/12.73 494. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 12.48/12.73 495. ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 493 494 76 % 12.48/12.73 496. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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))))) ### DisjTree 334 127 495 321 % 12.48/12.73 497. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.48/12.73 498. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.48/12.73 499. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 102 498 144 % 12.48/12.73 500. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ### Or 497 499 % 12.56/12.73 501. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((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) (e1)) != (op (e1) (e1))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### DisjTree 500 127 427 131 % 12.56/12.73 502. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (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)) != (op (e1) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 492 35 496 501 % 12.56/12.73 503. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.73 504. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.73 505. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.56/12.73 506. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 12.56/12.73 507. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 12.56/12.73 508. ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e0)) ### TransEq 506 507 88 % 12.56/12.73 509. (((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)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (e0)) ### DisjTree 505 239 68 508 % 12.56/12.73 510. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((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)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 509 77 469 % 12.56/12.73 511. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 12.56/12.73 512. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 12.56/12.73 513. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 12.56/12.73 514. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq 511 512 513 % 12.56/12.73 515. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 514 149 421 % 12.56/12.73 516. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e0)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e2)) != (e0)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 510 127 515 131 % 12.56/12.73 517. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (e0)) ((e0) != (e2)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e0)) (((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))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 504 466 437 516 % 12.56/12.73 518. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 503 35 48 517 % 12.56/12.73 519. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.73 520. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.73 521. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (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) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 520 466 178 262 % 12.56/12.73 522. (((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 (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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 (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) (((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) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 519 35 496 521 % 12.56/12.73 523. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (e0)) ((e0) != (e2)) ((e0) != (e3)) (((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))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((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))))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 502 518 522 % 12.56/12.73 524. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (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)) != (op (e1) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((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)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e2)) = (e3)) ### Or 491 523 % 12.56/12.73 525. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (e0)) ((e0) != (e2)) ((e0) != (e3)) (((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))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((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))))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (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))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (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 (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### Or 524 77 % 12.56/12.73 526. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (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) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (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 (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (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 (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((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)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 490 525 % 12.56/12.73 527. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((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)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (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)) = (e2)) ((e0) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 418 77 % 12.56/12.73 528. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 500 77 % 12.56/12.73 529. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e3)) ((e2) != (e3)) (((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) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e2)) = (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 527 528 % 12.56/12.74 530. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((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))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((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 (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((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 (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### Or 526 529 % 12.56/12.74 531. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (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) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (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 (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((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)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 530 % 12.56/12.74 532. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.74 533. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.74 534. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.56/12.74 535. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 12.56/12.74 536. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 12.56/12.74 537. ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 535 536 76 % 12.56/12.74 538. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 12.56/12.74 539. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 12.56/12.74 540. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 12.56/12.74 541. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 538 539 540 % 12.56/12.74 542. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.74 543. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.74 544. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 12.56/12.74 545. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 542 543 544 % 12.56/12.74 546. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 541 77 545 % 12.56/12.74 547. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.56/12.74 548. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 534 546 547 % 12.56/12.74 549. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e1)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 41 548 % 12.56/12.74 550. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 350 549 196 % 12.56/12.74 551. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.74 552. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 449 169 79 % 12.56/12.74 553. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (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) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 551 35 48 552 % 12.56/12.74 554. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.74 555. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 449 149 79 % 12.56/12.74 556. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 554 35 48 555 % 12.56/12.74 557. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.74 558. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.74 559. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.56/12.74 560. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.56/12.74 561. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 12.56/12.74 562. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq 559 560 561 % 12.56/12.74 563. (((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 (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 256 465 127 120 % 12.56/12.74 564. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.74 565. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.74 566. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 12.56/12.74 567. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) ((op (e3) (e3)) = (e3)) ### TransEq 564 565 566 % 12.56/12.74 568. (((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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((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 (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 563 567 % 12.56/12.74 569. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.56/12.74 570. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.56/12.74 571. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 12.56/12.74 572. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 569 570 571 % 12.56/12.74 573. (((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 (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 121 568 572 % 12.56/12.74 574. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((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 (e1) (e1)) != (op (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 (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (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 (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 127 231 573 % 12.56/12.74 575. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 41 574 % 12.56/12.74 576. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) (((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)) != (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 (e1) (e1)) != (op (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) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 127 239 573 % 12.56/12.74 577. ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (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 (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (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 (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 575 256 576 481 % 12.56/12.74 578. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.56/12.74 579. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.56/12.74 580. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=) % 12.56/12.74 581. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 578 579 580 % 12.56/12.74 582. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 12.56/12.74 583. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 12.56/12.74 584. ((e2) != (e3)) ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) = (e3)) ### TransEq-sym 582 583 60 % 12.56/12.74 585. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 79 106 581 584 % 12.56/12.74 586. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 465 41 585 % 12.56/12.74 587. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((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 (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (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 (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 577 586 131 % 12.56/12.74 588. ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (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) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 558 587 178 262 % 12.56/12.74 589. (((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) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((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 (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (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 (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 557 35 48 588 % 12.56/12.74 590. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (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 (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 553 556 589 % 12.56/12.74 591. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (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) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (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 (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 590 268 % 12.56/12.74 592. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.56/12.74 593. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.56/12.74 594. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 12.56/12.74 595. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 592 593 594 % 12.56/12.74 596. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) = (e1)) ((op (e2) (e3)) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) != (op (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 (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (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 (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### DisjTree 591 338 549 595 % 12.56/12.74 597. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.74 598. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.56/12.74 599. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 12.56/12.74 600. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 12.56/12.74 601. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 12.56/12.74 602. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 599 600 601 % 12.56/12.74 603. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 12.56/12.74 604. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 12.56/12.74 605. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 12.56/12.74 606. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 603 604 605 % 12.56/12.74 607. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 12.56/12.74 608. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 12.56/12.74 609. ((e0) != (e3)) ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) = (e3)) ### TransEq-sym 607 608 34 % 12.56/12.74 610. (((op (e3) (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) (e3)) = (e0)) ((e0) != (e3)) ### ConjTree 609 % 12.56/12.74 611. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ### DisjTree 598 602 606 610 % 12.56/12.74 612. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 611 236 240 249 % 12.56/12.74 613. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((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) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 611 256 257 246 % 12.56/12.74 614. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.56/12.74 615. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.56/12.74 616. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.56/12.74 617. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 12.56/12.74 618. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 615 616 617 % 12.56/12.74 619. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.56/12.74 620. (((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)) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 149 614 618 619 % 12.56/12.74 621. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (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 (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ((op (e1) (e1)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 612 613 620 131 % 12.56/12.74 622. (((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))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((e0) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 597 35 48 621 % 12.56/12.74 623. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 221 622 264 % 12.56/12.74 624. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (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)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 623 268 % 12.56/12.74 625. ((e0) != (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans-sym 160 34 % 12.56/12.74 626. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=) % 12.56/12.74 627. ((op (e2) (op (e2) (e2))) != (e0)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans 160 34 % 12.56/12.74 628. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e0) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e0)) ### NotEqual 627 60 % 12.56/12.74 629. ((e3) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans-sym 628 88 % 12.56/12.74 630. (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e0)) ### DisjTree 625 626 629 % 12.56/12.74 631. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 12.56/12.74 632. ((op (e2) (op (e2) (e2))) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 60 631 % 12.56/12.74 633. ((e1) != (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans-sym 632 76 % 12.56/12.74 634. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 12.56/12.74 635. ((op (e2) (op (e2) (e2))) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans 632 76 % 12.56/12.74 636. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e1)) ### NotEqual 635 60 % 12.56/12.74 637. ((e3) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e1) (e2)) = (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans-sym 636 88 % 12.56/12.74 638. (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e1)) ### DisjTree 633 634 637 % 12.56/12.74 639. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 12.56/12.74 640. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 12.56/12.74 641. ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 639 640 76 % 12.56/12.74 642. ((e3) != (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans-sym 632 88 % 12.56/12.74 643. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=) % 12.56/12.74 644. ((op (e2) (op (e2) (e2))) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans 632 88 % 12.56/12.74 645. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e3)) ### NotEqual 644 60 % 12.56/12.74 646. ((e1) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans-sym 645 76 % 12.56/12.74 647. (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e3)) ### DisjTree 642 643 646 % 12.56/12.74 648. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 541 413 647 % 12.56/12.74 649. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 638 641 68 648 % 12.56/12.74 650. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e3)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e3)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 224 630 649 168 % 12.56/12.74 651. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 12.56/12.74 652. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 12.56/12.74 653. ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e1)) ### TransEq 651 652 88 % 12.56/12.74 654. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e0)) (((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))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 349 562 650 653 % 12.56/12.74 655. (((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 (e3) (e1)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e3)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 624 654 572 % 12.56/12.74 656. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (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 (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 41 655 % 12.56/12.74 657. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.74 658. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.74 659. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 12.56/12.74 660. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) ((op (e3) (e3)) = (e3)) ### TransEq 657 658 659 % 12.56/12.74 661. (((op (e3) (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)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 660 % 12.56/12.74 662. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 290 656 661 % 12.56/12.74 663. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (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 (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (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)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 338 662 196 % 12.56/12.75 664. ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (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) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (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) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (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 (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 596 663 169 79 % 12.56/12.75 665. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 41 585 % 12.56/12.75 666. ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 550 664 665 131 % 12.56/12.75 667. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.75 668. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.75 669. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=) % 12.56/12.75 670. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq 667 668 669 % 12.56/12.75 671. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.75 672. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.75 673. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 12.56/12.75 674. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq 671 672 673 % 12.56/12.75 675. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 670 407 674 % 12.56/12.75 676. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.56/12.75 677. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.56/12.75 678. (((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 (e2) (e1)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 675 676 77 677 % 12.56/12.75 679. (((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) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 290 678 660 % 12.56/12.75 680. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 552 338 193 196 % 12.56/12.75 681. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((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)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 290 678 389 % 12.56/12.75 682. ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((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 (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 680 681 169 421 % 12.56/12.75 683. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 449 169 421 % 12.56/12.75 684. (((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) (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 (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 683 290 678 660 % 12.56/12.75 685. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((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 (e2) (e1)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 679 682 684 131 % 12.56/12.75 686. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e3) (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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (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 (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (e1)) ### DisjTree 533 666 178 685 % 12.56/12.75 687. ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((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 (e2) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 532 35 48 686 % 12.56/12.75 688. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.75 689. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.75 690. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 12.56/12.75 691. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 12.56/12.75 692. ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ### TransEq 690 691 60 % 12.56/12.75 693. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 53 178 262 % 12.56/12.75 694. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 693 41 349 % 12.56/12.75 695. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 694 549 196 % 12.56/12.75 696. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.75 697. (((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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e0) (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 (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 696 407 563 % 12.56/12.75 698. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.56/12.75 699. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.56/12.75 700. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (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 (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 697 698 546 699 % 12.56/12.75 701. (((op (e3) (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) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 567 % 12.56/12.75 702. (((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (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) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (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)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 700 701 % 12.56/12.75 703. (((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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (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) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 146 702 572 % 12.56/12.75 704. (((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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (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) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 121 702 572 % 12.56/12.75 705. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (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)) != (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) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((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 703 127 231 704 % 12.56/12.75 706. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (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) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 693 41 705 % 12.56/12.75 707. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (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)) != (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) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((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 703 127 239 704 % 12.56/12.75 708. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (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) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 41 707 % 12.56/12.75 709. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 12.56/12.75 710. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 12.56/12.75 711. ((e0) != (e3)) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 709 710 34 % 12.56/12.75 712. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (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)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (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) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 248 702 711 % 12.56/12.75 713. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (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 (e3) (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)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (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)) != (op (e2) (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)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (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) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 41 712 % 12.56/12.75 714. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((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))) (((op (e3) (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)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 706 256 708 713 % 12.56/12.75 715. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (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) (e3)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) (((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))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 577 338 714 595 % 12.56/12.75 716. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((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 (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 41 703 % 12.56/12.75 717. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (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) (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)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 338 716 196 % 12.56/12.75 718. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 697 653 % 12.56/12.75 719. (((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) (e1)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((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)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 624 718 572 % 12.56/12.75 720. ((e1) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (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) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 41 719 % 12.56/12.75 721. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (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 (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (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 (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((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 (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e3) (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)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (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) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 715 717 720 79 % 12.56/12.75 722. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (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 (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 695 721 665 131 % 12.56/12.75 723. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (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 (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e1)) ### DisjTree 689 722 178 262 % 12.56/12.75 724. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (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 (e3) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (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 (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (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 (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 688 35 48 723 % 12.56/12.76 725. ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((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) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (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 (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 687 224 724 % 12.56/12.76 726. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((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 (e2) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (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)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### Or 725 268 % 12.56/12.76 727. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((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) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (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 (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### Or 726 591 % 12.56/12.76 728. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((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 (e2) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (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)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### ConjTree 727 % 12.56/12.76 729. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (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) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ### DisjTree 17 21 26 31 36 37 42 271 274 276 277 280 283 284 531 728 % 12.56/12.76 730. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (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)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 729 % 12.56/12.76 731. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.76 732. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.76 733. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.76 734. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 12.56/12.76 735. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq 732 733 734 % 12.56/12.76 736. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.56/12.76 737. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.56/12.76 738. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 12.56/12.76 739. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq 736 737 738 % 12.56/12.76 740. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.56/12.76 741. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.56/12.76 742. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 12.56/12.76 743. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq 740 741 742 % 12.56/12.76 744. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 12.56/12.76 745. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 12.56/12.76 746. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 12.56/12.76 747. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 744 745 746 % 12.56/12.76 748. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.76 749. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.76 750. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 12.56/12.76 751. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e1)) ((op (e3) (e3)) = (e1)) ### TransEq 748 749 750 % 12.56/12.76 752. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 743 747 751 % 12.56/12.76 753. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.76 754. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.76 755. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 12.56/12.76 756. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e1)) ### TransEq 753 754 755 % 12.56/12.76 757. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 541 752 756 % 12.56/12.76 758. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.56/12.76 759. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.56/12.76 760. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 12.56/12.76 761. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 758 759 760 % 12.56/12.76 762. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 731 35 757 761 % 12.56/12.76 763. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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)) ((e0) != (e1)) ((op (e0) (e1)) = (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) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 762 % 12.56/12.76 764. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 751 % 12.56/12.76 765. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 12.56/12.76 766. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.56/12.76 767. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.56/12.76 768. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.56/12.76 769. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 12.56/12.76 770. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 767 768 769 % 12.56/12.76 771. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 12.56/12.76 772. ((op (e3) (op (e3) (e3))) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ### NotEqual 88 771 % 12.56/12.76 773. ((e2) != (op (e3) (op (e3) (e3)))) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans-sym 772 60 % 12.56/12.76 774. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 12.56/12.76 775. ((op (e3) (op (e3) (e3))) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans 772 60 % 12.56/12.76 776. ((op (op (e3) (op (e3) (e3))) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) = (e2)) ### NotEqual 775 88 % 12.56/12.76 777. ((e0) != (op (op (e3) (op (e3) (e3))) (e3))) ((op (e2) (e3)) = (e0)) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) = (e1)) ### Trans-sym 776 34 % 12.56/12.76 778. (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e0)) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) = (e2)) ### DisjTree 773 774 777 % 12.56/12.76 779. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.76 780. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e2) (e3)) = (e0)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ### DisjTree 770 751 778 779 % 12.56/12.76 781. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 12.56/12.76 782. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 12.56/12.76 783. ((e0) != (e1)) ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) = (e1)) ### TransEq-sym 781 782 34 % 12.56/12.76 784. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 30 602 780 783 % 12.56/12.76 785. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.56/12.76 786. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.56/12.76 787. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=) % 12.56/12.76 788. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e0)) ### TransEq-sym 785 786 787 % 12.56/12.76 789. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.76 790. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.76 791. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.76 792. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 12.56/12.76 793. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e1)) ### TransEq 790 791 792 % 12.56/12.76 794. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.56/12.76 795. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 12.56/12.76 796. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 12.56/12.76 797. ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ### TransEq 795 796 60 % 12.56/12.76 798. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 794 797 262 % 12.56/12.76 799. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.56/12.76 800. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 799 797 756 % 12.56/12.76 801. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 789 798 800 761 % 12.56/12.76 802. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ### DisjTree 766 784 788 801 % 12.56/12.76 803. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (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) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) = (e2)) ### Or 765 802 % 12.56/12.76 804. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ### Or 803 256 % 12.56/12.76 805. (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e0)) != (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) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ### Or 804 16 % 12.56/12.76 806. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 805 % 12.56/12.76 807. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 20 % 12.56/12.76 808. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.76 809. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.76 810. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.76 811. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.76 812. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.76 813. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.76 814. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 12.56/12.76 815. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 812 813 814 % 12.56/12.76 816. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.76 817. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.56/12.76 818. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 12.56/12.76 819. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 12.56/12.76 820. ((e1) != (e3)) ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) = (e3)) ### TransEq-sym 818 819 76 % 12.56/12.76 821. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 816 817 820 % 12.56/12.76 822. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 12.56/12.76 823. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 12.56/12.76 824. ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 822 823 60 % 12.56/12.76 825. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.56/12.76 826. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 537 562 824 825 % 12.56/12.76 827. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 602 53 57 333 % 12.56/12.76 828. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.76 829. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.76 830. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 12.56/12.76 831. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 828 829 830 % 12.56/12.76 832. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.76 833. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.56/12.76 834. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 831 832 833 820 % 12.56/12.76 835. ((e3) != (op (e1) (op (e1) (e1)))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 340 88 % 12.56/12.76 836. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 12.56/12.76 837. ((op (e1) (op (e1) (e1))) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans 340 88 % 12.56/12.76 838. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) ### NotEqual 837 76 % 12.56/12.76 839. ((e0) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 838 34 % 12.56/12.76 840. (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) ### DisjTree 835 836 839 % 12.56/12.76 841. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.56/12.76 842. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.56/12.76 843. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 12.56/12.76 844. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 841 842 843 % 12.56/12.76 845. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.76 846. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 840 751 844 845 % 12.56/12.76 847. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 834 641 824 315 % 12.56/12.76 848. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (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)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 61 846 847 % 12.56/12.76 849. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e2) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 367 848 751 % 12.56/12.76 850. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 12.56/12.76 851. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 12.56/12.76 852. ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ### TransEq 850 851 60 % 12.56/12.76 853. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (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)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 61 846 711 % 12.56/12.76 854. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 849 852 346 853 % 12.56/12.76 855. (((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))))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 333 834 854 % 12.56/12.76 856. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (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)) = (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 (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 476 827 855 826 % 12.56/12.76 857. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 30 856 606 783 % 12.56/12.76 858. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.76 859. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e1) (e2)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (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)) = (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 (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 857 562 641 858 % 12.56/12.76 860. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 821 826 859 847 % 12.56/12.76 861. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (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)) = (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 (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 860 751 % 12.56/12.76 862. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 811 861 437 756 % 12.56/12.76 863. (((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)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (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)) = (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 (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 810 35 862 761 % 12.56/12.76 864. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 821 834 396 % 12.56/12.76 865. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (((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)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 326 784 863 864 % 12.56/12.76 866. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.76 867. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 641 866 % 12.56/12.76 868. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 821 826 867 847 % 12.56/12.76 869. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 53 868 751 % 12.56/12.76 870. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.76 871. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.76 872. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 12.56/12.76 873. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 870 871 872 % 12.56/12.76 874. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.76 875. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.56/12.76 876. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 873 874 875 820 % 12.56/12.76 877. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.76 878. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e2)) = (e3)) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 877 859 873 % 12.56/12.76 879. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (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 (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (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)) = (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 (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 185 878 847 % 12.56/12.76 880. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 53 879 751 % 12.56/12.77 881. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (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)) = (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 (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 876 821 834 880 % 12.56/12.77 882. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 12.56/12.77 883. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 12.56/12.77 884. ((e2) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 882 883 60 % 12.56/12.77 885. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 876 881 537 884 % 12.56/12.77 886. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((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 (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 865 869 618 885 % 12.56/12.77 887. (((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 (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (((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)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (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) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 809 886 437 756 % 12.56/12.77 888. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((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 (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 808 35 887 761 % 12.56/12.77 889. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.77 890. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.77 891. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 876 307 834 396 % 12.56/12.77 892. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.77 893. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.56/12.77 894. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 396 892 893 595 % 12.56/12.77 895. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 876 338 537 894 % 12.56/12.77 896. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 333 834 396 % 12.56/12.77 897. ((e2) != (op (e0) (op (e0) (e0)))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans-sym 443 60 % 12.56/12.77 898. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 12.56/12.77 899. ((op (e0) (op (e0) (e0))) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans 443 60 % 12.56/12.77 900. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) ### NotEqual 899 34 % 12.56/12.77 901. ((e1) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans-sym 900 76 % 12.56/12.77 902. (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) ### DisjTree 897 898 901 % 12.56/12.77 903. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.77 904. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.77 905. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 12.56/12.77 906. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq 903 904 905 % 12.56/12.77 907. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 906 57 873 % 12.56/12.77 908. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 902 821 358 907 % 12.56/12.77 909. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 896 908 797 229 % 12.56/12.77 910. (((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)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((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 (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 865 895 495 909 % 12.56/12.77 911. (((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 (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (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)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 890 891 910 262 % 12.56/12.77 912. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((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) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 889 35 911 761 % 12.56/12.77 913. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (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 (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (((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)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (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) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 784 888 912 % 12.56/12.77 914. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 12.56/12.77 915. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 12.56/12.77 916. ((e1) != (e2)) ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) = (e2)) ### TransEq-sym 914 915 76 % 12.56/12.77 917. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((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 (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### Or 913 916 % 12.56/12.77 918. (((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)))))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (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 (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (((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)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (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) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 917 % 12.56/12.77 919. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.56/12.77 920. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.77 921. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.77 922. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.56/12.77 923. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.56/12.77 924. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=) % 12.56/12.77 925. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 922 923 924 % 12.56/12.77 926. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.56/12.77 927. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.56/12.77 928. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.56/12.77 929. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=) % 12.56/12.77 930. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq 927 928 929 % 12.56/12.77 931. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.56/12.77 932. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.56/12.77 933. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 12.56/12.77 934. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq 931 932 933 % 12.56/12.77 935. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) ### DisjTree 926 761 930 934 % 12.56/12.77 936. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 61 925 935 % 12.56/12.77 937. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.56/12.77 938. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.56/12.77 939. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=) % 12.56/12.77 940. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq 937 938 939 % 12.56/12.77 941. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 936 87 940 % 12.56/12.77 942. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.77 943. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 12.56/12.77 944. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 873 942 469 943 % 12.56/12.77 945. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### Or 944 820 % 12.56/12.77 946. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.56/12.77 947. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.56/12.77 948. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=) % 12.56/12.77 949. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 946 947 948 % 12.56/12.77 950. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.56/12.77 951. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.56/12.77 952. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.56/12.77 953. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=) % 12.56/12.77 954. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq 951 952 953 % 12.56/12.77 955. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 246 950 940 954 % 12.56/12.77 956. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 955 867 934 % 12.56/12.77 957. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (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 (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 956 751 % 12.56/12.77 958. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((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 (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### DisjTree 945 307 949 957 % 12.56/12.77 959. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((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) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### DisjTree 945 338 537 958 % 12.56/12.77 960. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((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)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 941 959 495 930 % 12.56/12.77 961. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### DisjTree 945 290 949 907 % 12.56/12.77 962. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 12.56/12.77 963. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 12.56/12.77 964. ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e2)) ### TransEq 962 963 88 % 12.56/12.77 965. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 944 290 358 964 % 12.56/12.77 966. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) != (e3)) ((e1) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 941 961 797 965 % 12.56/12.77 967. (((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)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (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) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (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)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 921 960 966 756 % 12.56/12.77 968. (((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))))) ((e1) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((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)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e1) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 920 35 967 761 % 12.56/12.77 969. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.77 970. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.77 971. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e0) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 346 239 940 % 12.56/12.77 972. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 61 925 711 % 12.56/12.77 973. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 972 87 940 % 12.56/12.77 974. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 941 256 971 973 % 12.56/12.77 975. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.56/12.77 976. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.56/12.77 977. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=) % 12.56/12.77 978. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 975 976 977 % 12.56/12.77 979. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 12.56/12.77 980. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 12.56/12.77 981. ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 979 980 34 % 12.56/12.77 982. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 981 602 606 783 % 12.56/12.77 983. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.56/12.77 984. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.56/12.77 985. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 476 984 940 934 % 12.56/12.77 986. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (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 (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) ### DisjTree 983 761 930 985 % 12.56/12.77 987. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 61 925 934 % 12.56/12.77 988. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 987 239 940 % 12.56/12.77 989. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (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) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e3)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 982 986 988 973 % 12.56/12.77 990. (((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 (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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 (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) = (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 944 307 949 989 % 12.56/12.77 991. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 974 978 990 % 12.56/12.77 992. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((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 (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (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)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 991 959 495 930 % 12.56/12.77 993. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 970 992 437 756 % 12.56/12.77 994. (((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))))) ((e1) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((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 (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (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)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 969 35 993 761 % 12.56/12.77 995. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.77 996. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.56/12.77 997. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.56/12.77 998. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.56/12.77 999. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 12.56/12.77 1000. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 997 998 999 % 12.56/12.77 1001. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e2)) ### Or 996 1000 % 12.56/12.77 1002. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 12.56/12.77 1003. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 396 995 1001 1002 % 12.56/12.77 1004. (((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 (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (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) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (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)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 968 994 1003 % 12.56/12.77 1005. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((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)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e1) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e3) (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))))) ### Or 1004 820 % 12.56/12.77 1006. (((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 (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (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) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (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)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e3)) = (e2)) ### Or 919 1005 % 12.56/12.77 1007. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.56/12.77 1008. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom % 12.56/12.77 1009. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 61 87 940 % 12.56/12.77 1010. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.56/12.77 1011. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 12.56/12.77 1012. ((op (e2) (op (e2) (e2))) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 60 1011 % 12.56/12.78 1013. ((e0) != (op (e2) (op (e2) (e2)))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1012 34 % 12.56/12.78 1014. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 12.56/12.78 1015. ((op (e2) (op (e2) (e2))) != (e0)) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans 1012 34 % 12.56/12.78 1016. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e0) (e2))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e0)) ### NotEqual 1015 60 % 12.56/12.78 1017. ((e1) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1016 76 % 12.56/12.78 1018. (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e0)) ### DisjTree 1013 1014 1017 % 12.56/12.78 1019. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (e0)) ### DisjTree 1010 246 1018 783 % 12.56/12.78 1020. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e3)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ((e0) != (e1)) ((op (e3) (e3)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1009 1019 495 930 % 12.56/12.78 1021. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (e0)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 1008 35 1020 761 % 12.56/12.78 1022. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e3)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ### Or 1007 1021 % 12.56/12.78 1023. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (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)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e1) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e3) (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))))) ### Or 1006 1022 % 12.56/12.78 1024. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (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 (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (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) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e3)) = (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### Or 1023 945 % 12.56/12.78 1025. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (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)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e1) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (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)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1024 % 12.56/12.78 1026. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 12.56/12.78 1027. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e3)) ### Or 1026 783 % 12.56/12.78 1028. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e1)) ### ConjTree 1027 % 12.56/12.78 1029. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.56/12.78 1030. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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)) ### ConjTree 1029 % 12.56/12.78 1031. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.56/12.78 1032. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e3) (e2)) = (e3)) ### Or 1031 916 % 12.56/12.78 1033. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e1)) ### ConjTree 1032 % 12.56/12.78 1034. (((op (e3) (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) (e3)) = (e1)) ((e1) != (e3)) ### ConjTree 820 % 12.56/12.78 1035. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (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 (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ### DisjTree 17 21 26 31 36 37 763 764 806 807 918 1025 1028 1030 1033 1034 % 12.56/12.78 1036. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (((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))))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((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) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 1035 % 12.56/12.78 1037. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.56/12.78 1038. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ### ConjTree 1037 % 12.56/12.78 1039. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.78 1040. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.56/12.78 1041. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 12.56/12.78 1042. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq 1039 1040 1041 % 12.56/12.78 1043. (((op (e0) (e0)) = (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) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 1042 % 12.56/12.78 1044. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 25 % 12.56/12.78 1045. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom % 12.56/12.78 1046. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.56/12.78 1047. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) = (e0)) ### Or 1045 1046 % 12.56/12.78 1048. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 % 12.56/12.78 1049. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.56/12.78 1050. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.56/12.78 1051. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 12.56/12.78 1052. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq-sym 1049 1050 1051 % 12.56/12.78 1053. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 1052 % 12.56/12.78 1054. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 12.56/12.78 1055. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ### Or 1054 852 % 12.56/12.78 1056. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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) (e1)) = (e2)) ### ConjTree 1055 % 12.56/12.78 1057. (((op (e1) (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 (e1) (e1)) = (e2)) ((e1) != (e2)) ### ConjTree 367 % 12.56/12.78 1058. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.56/12.78 1059. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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)) ### ConjTree 1058 % 12.56/12.78 1060. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 12.56/12.78 1061. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ### Or 1060 61 % 12.56/12.78 1062. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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)) = (e2)) ### ConjTree 1061 % 12.56/12.78 1063. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 12.56/12.78 1064. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 12.56/12.78 1065. ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 1063 1064 34 % 12.56/12.78 1066. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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)) ((e0) != (e2)) ### ConjTree 1065 % 12.56/12.78 1067. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 102 % 12.56/12.78 1068. (((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)))))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e2)) ### ConjTree 1047 % 12.56/12.78 1069. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 12.56/12.78 1070. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 12.56/12.78 1071. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 12.56/12.78 1072. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) = (e1)) ### TransEq-sym 1069 1070 1071 % 12.56/12.78 1073. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.56/12.78 1074. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.56/12.78 1075. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 367 1073 1074 % 12.56/12.78 1076. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.56/12.78 1077. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1076 200 1065 930 % 12.56/12.78 1078. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 12.56/12.78 1079. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 12.56/12.78 1080. ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 1078 1079 34 % 12.56/12.78 1081. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.56/12.78 1082. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1081 127 1065 131 % 12.56/12.78 1083. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 1075 1077 1080 1082 % 12.56/12.78 1084. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1083 61 % 12.56/12.78 1085. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) ### ConjTree 1084 % 12.56/12.78 1086. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.56/12.78 1087. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1086 127 1065 884 % 12.56/12.78 1088. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1087 % 12.56/12.78 1089. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.56/12.78 1090. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.56/12.78 1091. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.56/12.78 1092. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.56/12.78 1093. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.56/12.78 1094. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.56/12.78 1095. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=) % 12.56/12.78 1096. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq-sym 1093 1094 1095 % 12.56/12.78 1097. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) ### Or 1092 1096 % 12.56/12.78 1098. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 1090 1091 1097 % 12.56/12.78 1099. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.56/12.78 1100. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.56/12.78 1101. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.56/12.78 1102. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 12.56/12.78 1103. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=) % 12.56/12.78 1104. ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ### TransEq 1102 1103 88 % 12.56/12.78 1105. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 514 1101 1104 % 12.56/12.78 1106. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.56/12.78 1107. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.56/12.78 1108. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 852 1107 1104 % 12.56/12.78 1109. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.78 1110. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.78 1111. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 12.56/12.78 1112. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 1109 1110 1111 % 12.56/12.78 1113. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 1112 % 12.56/12.78 1114. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (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) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 902 290 358 1113 % 12.56/12.78 1115. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 12.56/12.78 1116. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 12.56/12.78 1117. ((e0) != (e1)) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) = (e1)) ### TransEq-sym 1115 1116 34 % 12.56/12.78 1118. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.56/12.78 1119. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.56/12.78 1120. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1119 41 751 % 12.56/12.78 1121. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ### Or 1118 1120 % 12.56/12.78 1122. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.56/12.78 1123. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.78 1124. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.78 1125. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 12.56/12.78 1126. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 1123 1124 1125 % 12.56/12.78 1127. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 674 1126 268 315 % 12.56/12.78 1128. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.78 1129. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.56/12.78 1130. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=) % 12.56/12.78 1131. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 1128 1129 1130 % 12.56/12.78 1132. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.56/12.78 1133. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.56/12.78 1134. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.56/12.78 1135. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=) % 12.56/12.78 1136. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e0)) ### TransEq-sym 1133 1134 1135 % 12.56/12.78 1137. ((e0) != (op (e3) (op (e3) (e3)))) ((op (e3) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) ### Trans-sym 772 34 % 12.56/12.78 1138. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=) % 12.56/12.78 1139. ((op (e3) (op (e3) (e3))) != (e0)) ((op (e3) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) ### Trans 772 34 % 12.56/12.78 1140. ((op (op (e3) (op (e3) (e3))) (e3)) != (op (e0) (e3))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) = (e0)) ### NotEqual 1139 88 % 12.56/12.78 1141. ((e2) != (op (op (e3) (op (e3) (e3))) (e3))) ((op (e0) (e3)) = (e2)) ((op (e3) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) ### Trans-sym 1140 60 % 12.56/12.78 1142. (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) = (e0)) ### DisjTree 1137 1138 1141 % 12.56/12.78 1143. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 1132 1136 630 1142 % 12.56/12.78 1144. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1127 1131 1143 884 % 12.56/12.78 1145. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1122 200 1065 1144 % 12.56/12.78 1146. (((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 (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### DisjTree 1121 1145 48 761 % 12.56/12.78 1147. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.56/12.78 1148. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 1147 793 127 1131 % 12.56/12.78 1149. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.56/12.78 1150. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.56/12.78 1151. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.56/12.78 1152. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 12.56/12.78 1153. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 1150 1151 1152 % 12.56/12.78 1154. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 12.56/12.78 1155. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 12.56/12.78 1156. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 12.56/12.78 1157. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 1154 1155 1156 % 12.56/12.78 1158. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 61 840 711 % 12.56/12.78 1159. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 35 476 1157 1158 % 12.56/12.78 1160. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1143 852 1153 1159 % 12.56/12.78 1161. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1127 1131 1160 934 % 12.56/12.78 1162. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1149 200 1065 1161 % 12.56/12.78 1163. (((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)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1162 437 756 % 12.56/12.78 1164. (((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 (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 1148 1163 1080 1082 % 12.56/12.78 1165. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.56/12.78 1166. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.56/12.78 1167. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.78 1168. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 12.56/12.78 1169. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 12.56/12.78 1170. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 1167 1168 1169 % 12.56/12.78 1171. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 1166 1136 630 1170 % 12.56/12.78 1172. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1171 852 1153 711 % 12.56/12.78 1173. (((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 1127 1131 1172 884 % 12.56/12.78 1174. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1165 200 1065 1173 % 12.56/12.78 1175. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### DisjTree 1121 1174 48 761 % 12.61/12.78 1176. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1042 1146 1164 1175 % 12.61/12.78 1177. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.61/12.78 1178. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.78 1179. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.78 1180. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 12.61/12.78 1181. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 1178 1179 1180 % 12.61/12.78 1182. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 12.61/12.78 1183. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 12.61/12.78 1184. ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) = (e1)) ### TransEq 1182 1183 60 % 12.61/12.78 1185. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 1065 102 1181 1184 % 12.61/12.78 1186. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.61/12.78 1187. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 674 1126 824 315 % 12.61/12.78 1188. (((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)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1185 1186 1187 930 % 12.61/12.78 1189. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((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) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1080 1177 413 1188 % 12.61/12.78 1190. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (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)) = (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1114 1117 1176 1189 % 12.61/12.78 1191. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 12.61/12.78 1192. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 12.61/12.78 1193. ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) ### TransEq 1191 1192 88 % 12.61/12.78 1194. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (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) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (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 (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) ### DisjTree 1106 1108 1190 1193 % 12.61/12.78 1195. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.61/12.78 1196. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.61/12.78 1197. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 12.61/12.78 1198. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 1195 1196 1197 % 12.61/12.78 1199. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.61/12.78 1200. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1199 413 1185 % 12.61/12.78 1201. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (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 (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 358 1198 1146 1200 % 12.61/12.78 1202. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 1201 1108 1153 711 % 12.61/12.78 1203. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (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 (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1194 290 1202 1113 % 12.61/12.78 1204. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.61/12.78 1205. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.61/12.78 1206. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.61/12.78 1207. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.61/12.78 1208. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.61/12.78 1209. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 12.61/12.78 1210. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 1207 1208 1209 % 12.61/12.78 1211. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 12.61/12.78 1212. ((op (e3) (op (e3) (e3))) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) ### NotEqual 88 1211 % 12.61/12.78 1213. ((e2) != (op (e3) (op (e3) (e3)))) ((op (e3) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans-sym 1212 60 % 12.61/12.78 1214. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 12.61/12.78 1215. ((op (e3) (op (e3) (e3))) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans 1212 60 % 12.61/12.78 1216. ((op (op (e3) (op (e3) (e3))) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) = (e2)) ### NotEqual 1215 88 % 12.61/12.78 1217. ((e1) != (op (op (e3) (op (e3) (e3))) (e3))) ((op (e2) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) ### Trans-sym 1216 76 % 12.61/12.78 1218. (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e1)) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) = (e2)) ### DisjTree 1213 1214 1217 % 12.61/12.78 1219. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 358 1117 630 1218 % 12.61/12.78 1220. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (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 (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 229 1193 1210 1219 % 12.61/12.78 1221. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1220 1126 824 315 % 12.61/12.78 1222. (((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 (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1185 1206 1221 930 % 12.61/12.78 1223. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (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)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 1205 1127 1222 % 12.61/12.78 1224. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) ### DisjTree 1204 852 1223 1142 % 12.61/12.78 1225. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.61/12.78 1226. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) ### DisjTree 1225 1108 1220 1142 % 12.61/12.79 1227. (((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) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (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 (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1224 307 1226 964 % 12.61/12.79 1228. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (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 (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1194 1131 1227 934 % 12.61/12.79 1229. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (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 (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1100 1105 1203 1228 % 12.61/12.79 1230. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (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 (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((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))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1099 127 1065 1229 % 12.61/12.79 1231. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.79 1232. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1231 200 1065 1114 % 12.61/12.79 1233. ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (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 (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) (((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) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1230 1232 756 % 12.61/12.79 1234. ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (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 (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((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))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 1098 1233 1080 1082 % 12.61/12.79 1235. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.61/12.79 1236. (((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)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) ### DisjTree 1235 852 1157 1193 % 12.61/12.79 1237. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.79 1238. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.79 1239. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.61/12.79 1240. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.79 1241. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) = (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1240 127 1065 902 % 12.61/12.79 1242. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1241 1117 1146 1200 % 12.61/12.79 1243. ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ((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 (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) ### DisjTree 1239 1108 1242 1170 % 12.61/12.79 1244. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (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 (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ### DisjTree 1243 852 1153 711 % 12.61/12.79 1245. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.61/12.79 1246. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.79 1247. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1246 1105 797 229 % 12.61/12.79 1248. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1247 1117 630 1200 % 12.61/12.79 1249. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ((e0) != (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) ### DisjTree 1245 1108 1248 1193 % 12.61/12.79 1250. ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ((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 (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1244 1131 1249 884 % 12.61/12.79 1251. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1238 514 1250 229 % 12.61/12.79 1252. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((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 (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1237 200 1065 1251 % 12.61/12.79 1253. ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (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 (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 1148 1252 1080 1082 % 12.61/12.79 1254. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (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 (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1042 1234 1236 1253 % 12.61/12.79 1255. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (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 (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((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))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e1)) ((op (e1) (e2)) != (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ### Or 1089 1254 % 12.61/12.79 1256. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.61/12.79 1257. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (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 (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) = (e3)) ### Or 1256 1176 % 12.61/12.79 1258. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (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 (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### Or 1255 1257 % 12.61/12.79 1259. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (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 (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((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))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### Or 1258 367 % 12.61/12.79 1260. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e2)) != (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### Or 1098 367 % 12.61/12.79 1261. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (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 (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ### Or 1259 1260 % 12.61/12.79 1262. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (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 (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (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 (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((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))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### ConjTree 1261 % 12.61/12.79 1263. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 % 12.61/12.79 1264. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.79 1265. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.79 1266. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.61/12.79 1267. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.61/12.79 1268. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.61/12.79 1269. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=) % 12.61/12.79 1270. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq 1267 1268 1269 % 12.61/12.79 1271. (((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)) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 476 1266 1270 572 % 12.61/12.79 1272. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.61/12.79 1273. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.61/12.79 1274. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=) % 12.61/12.79 1275. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 1272 1273 1274 % 12.61/12.79 1276. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e3) (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) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 262 1275 1184 1034 % 12.61/12.79 1277. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e3) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 1065 102 77 1276 % 12.61/12.79 1278. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e3) (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)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1277 840 1210 609 % 12.61/12.79 1279. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e3) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 797 1117 1278 1200 % 12.61/12.79 1280. (((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 (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 61 1279 572 % 12.61/12.79 1281. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.61/12.79 1282. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.61/12.79 1283. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1280 367 1281 1282 % 12.61/12.79 1284. (((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 (e3) (e1)) = (e0)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 61 840 572 % 12.61/12.79 1285. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.61/12.79 1286. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.61/12.79 1287. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 12.61/12.79 1288. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 1285 1286 1287 % 12.61/12.79 1289. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.61/12.79 1290. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.61/12.79 1291. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1284 1288 1289 1290 % 12.61/12.79 1292. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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 (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 35 1271 1283 1291 % 12.61/12.79 1293. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.79 1294. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.79 1295. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.61/12.79 1296. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 12.61/12.79 1297. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 12.61/12.79 1298. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=) % 12.61/12.79 1299. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq-sym 1296 1297 1298 % 12.61/12.79 1300. (((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)) = (e3)) ((e2) != (e3)) ### DisjTree 181 514 1181 229 % 12.61/12.79 1301. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e3)) = (e1)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1300 840 1210 1218 % 12.61/12.79 1302. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.61/12.79 1303. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (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)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ### DisjTree 1185 1299 1301 1302 % 12.61/12.79 1304. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e2)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((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) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1295 413 1303 % 12.61/12.79 1305. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1241 1198 1278 1304 % 12.61/12.79 1306. (((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e2)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((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) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 61 1305 572 % 12.61/12.80 1307. ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (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 (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1294 514 1292 1306 % 12.61/12.80 1308. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((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 (e1) (e0)) = (e1)) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1293 200 1065 1307 % 12.61/12.80 1309. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1310. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1311. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (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 (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1310 514 1292 421 % 12.61/12.80 1312. (((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 (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1309 200 1065 1311 % 12.61/12.80 1313. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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 (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (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 (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1308 1241 1312 % 12.61/12.80 1314. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((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) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 1313 1080 1082 % 12.61/12.80 1315. (((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 (e1) (e0)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (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 (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (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 (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1314 290 358 964 % 12.61/12.80 1316. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1317. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1318. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (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 (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1317 514 1292 229 % 12.61/12.80 1319. (((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 (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1316 200 1065 1318 % 12.61/12.80 1320. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((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 (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (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 (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 1075 1319 1080 1082 % 12.61/12.80 1321. ((op (e3) (e0)) = (e2)) ((op (e2) (e3)) = (e1)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1320 840 1210 1218 % 12.61/12.80 1322. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((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) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1315 1117 1278 1321 % 12.61/12.80 1323. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (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 (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((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 (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (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 (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 61 1322 572 % 12.61/12.80 1324. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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 (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((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) (e2)) = (e0)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 35 852 1323 1291 % 12.61/12.80 1325. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (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 (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (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 (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1265 514 1292 1324 % 12.61/12.80 1326. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1264 200 1065 1325 % 12.61/12.80 1327. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1328. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((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) (e2)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1327 514 797 1315 % 12.61/12.80 1329. ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((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 (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (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 (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1326 1328 1312 % 12.61/12.80 1330. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 1075 1329 1080 1082 % 12.61/12.80 1331. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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 (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 25 852 1157 1284 % 12.61/12.80 1332. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((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) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (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) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1331 437 1312 % 12.61/12.80 1333. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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 (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((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 (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 1075 1332 1080 1082 % 12.61/12.80 1334. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e2)) ((e0) != (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 (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (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 (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (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 (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1042 1330 1333 1320 % 12.61/12.80 1335. (((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 (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 61 925 572 % 12.61/12.80 1336. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1337. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 338 978 595 % 12.61/12.80 1338. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1339. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom % 12.61/12.80 1340. ((op (e0) (op (e0) (e0))) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ### NotEqual 34 1339 % 12.61/12.80 1341. ((e3) != (op (e0) (op (e0) (e0)))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans-sym 1340 88 % 12.61/12.80 1342. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 12.61/12.80 1343. ((op (e0) (op (e0) (e0))) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans 1340 88 % 12.61/12.80 1344. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) ### NotEqual 1343 34 % 12.61/12.80 1345. ((e2) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans-sym 1344 60 % 12.61/12.80 1346. (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) ### DisjTree 1341 1342 1345 % 12.61/12.80 1347. (((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 (e3) (e0)) = (e2)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 1346 978 884 % 12.61/12.80 1348. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1338 514 149 1347 % 12.61/12.80 1349. (((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)) = (e0)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1336 1337 1065 1348 % 12.61/12.80 1350. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1351. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((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 1335 1271 1153 972 % 12.61/12.80 1352. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (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)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1350 127 1065 1351 % 12.61/12.80 1353. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((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))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1352 437 1312 % 12.61/12.80 1354. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (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)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e0)) ((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))))) ### DisjTree 1349 1353 1080 1082 % 12.61/12.80 1355. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1356. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1357. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.80 1358. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.80 1359. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 12.61/12.80 1360. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq-sym 1357 1358 1359 % 12.61/12.80 1361. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ### DisjTree 1360 48 1300 925 % 12.61/12.80 1362. (((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) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 61 1361 572 % 12.61/12.80 1363. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.61/12.80 1364. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e3) (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 (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1362 1363 413 1185 % 12.61/12.80 1365. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e3) (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)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 797 1198 1277 1364 % 12.61/12.80 1366. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 35 852 1365 1170 % 12.61/12.80 1367. ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (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 (e3) (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)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1356 514 1366 229 % 12.61/12.80 1368. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1369. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 514 797 229 % 12.61/12.80 1370. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1368 127 1369 902 % 12.61/12.80 1371. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 1367 1370 262 % 12.61/12.80 1372. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.80 1373. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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 (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 25 1271 1362 1170 % 12.61/12.80 1374. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (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)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1372 127 495 1373 % 12.61/12.80 1375. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 127 495 902 % 12.61/12.80 1376. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e3) (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 (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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 (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1374 1375 262 % 12.61/12.80 1377. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (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)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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)) = (e3)) ((e1) != (e3)) ### DisjTree 464 1371 1376 1082 % 12.61/12.80 1378. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 1337 1065 1271 % 12.61/12.80 1379. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.61/12.80 1380. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.61/12.80 1381. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 972 367 1379 1380 % 12.61/12.80 1382. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 1378 346 1381 % 12.61/12.80 1383. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (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))))) ((e1) != (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) (e0)) != (op (e0) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1377 1382 949 396 % 12.61/12.80 1384. ((op (e0) (e3)) = (e2)) (((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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (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) (e0)) != (op (e0) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1377 1383 978 884 % 12.61/12.80 1385. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (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)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1355 127 1065 1384 % 12.61/12.81 1386. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.81 1387. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1386 200 1369 1318 % 12.61/12.81 1388. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) (((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 (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((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))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1352 1387 262 % 12.61/12.81 1389. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1385 1388 1080 1082 % 12.61/12.81 1390. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((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 (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((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))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1042 1335 1354 1389 % 12.61/12.81 1391. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (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) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1334 1390 % 12.61/12.81 1392. (((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 (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e2)) ((e0) != (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 (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (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 (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (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 (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### Or 1391 61 % 12.61/12.81 1393. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (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) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (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)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (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))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1392 % 12.61/12.81 1394. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e2) (e1))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (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 (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (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 (e0) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ### DisjTree 1043 1044 1048 1053 1056 1057 1059 1062 1066 1067 1068 1085 1088 1262 1263 1393 % 12.61/12.81 1395. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (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) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (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 (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((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 (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 1394 % 12.61/12.81 1396. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.61/12.81 1397. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 1396 % 12.61/12.81 1398. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.81 1399. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1398 200 1065 321 % 12.61/12.81 1400. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1399 % 12.61/12.81 1401. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 12.61/12.81 1402. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 12.61/12.81 1403. ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ### TransEq-sym 1401 1402 34 % 12.61/12.81 1404. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.81 1405. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.81 1406. ((e2) != (op (e0) (op (e0) (e0)))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans-sym 1340 60 % 12.61/12.81 1407. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=) % 12.61/12.81 1408. ((op (e0) (op (e0) (e0))) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans 1340 60 % 12.61/12.81 1409. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e2)) ### NotEqual 1408 34 % 12.61/12.81 1410. ((e3) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans-sym 1409 88 % 12.61/12.81 1411. (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e2)) ### DisjTree 1406 1407 1410 % 12.61/12.81 1412. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 12.61/12.81 1413. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 12.61/12.81 1414. ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 1412 1413 60 % 12.61/12.81 1415. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 149 1414 77 377 % 12.61/12.81 1416. (((op (e1) (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 (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 743 % 12.61/12.81 1417. ((e1) != (op (e3) (op (e3) (e3)))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans-sym 90 76 % 12.61/12.81 1418. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 12.61/12.81 1419. ((op (e3) (op (e3) (e3))) != (e1)) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans 90 76 % 12.61/12.81 1420. ((op (op (e3) (op (e3) (e3))) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e1)) ### NotEqual 1419 88 % 12.61/12.81 1421. ((e0) != (op (op (e3) (op (e3) (e3))) (e3))) ((op (e1) (e3)) = (e0)) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans-sym 1420 34 % 12.61/12.81 1422. (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) = (e0)) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e1)) ### DisjTree 1417 1418 1421 % 12.61/12.81 1423. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 12.61/12.81 1424. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=) % 12.61/12.81 1425. ((e0) != (e2)) ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) = (e2)) ### TransEq-sym 1423 1424 34 % 12.61/12.81 1426. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 30 1422 606 1425 % 12.61/12.81 1427. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 1416 413 1426 % 12.61/12.81 1428. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 907 641 1415 1427 % 12.61/12.81 1429. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.61/12.81 1430. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.61/12.81 1431. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 12.61/12.81 1432. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 1429 1430 1431 % 12.61/12.81 1433. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.81 1434. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.81 1435. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 12.61/12.81 1436. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 1433 1434 1435 % 12.61/12.81 1437. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.61/12.81 1438. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ### DisjTree 96 1436 144 1437 % 12.61/12.81 1439. (((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) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ### DisjTree 157 1438 1181 978 % 12.61/12.81 1440. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.61/12.81 1441. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.61/12.81 1442. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=) % 12.61/12.81 1443. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq-sym 1440 1441 1442 % 12.61/12.81 1444. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 602 1443 383 934 % 12.61/12.81 1445. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.61/12.81 1446. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.61/12.81 1447. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=) % 12.61/12.81 1448. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 1445 1446 1447 % 12.61/12.81 1449. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ### DisjTree 1422 1448 383 934 % 12.61/12.81 1450. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1444 413 1449 % 12.61/12.81 1451. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) (((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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (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 (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 1432 1439 321 1450 % 12.61/12.81 1452. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((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) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1052 1422 1451 1425 % 12.61/12.81 1453. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.61/12.81 1454. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 1157 906 1181 1411 % 12.61/12.81 1455. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.81 1456. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.81 1457. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=) % 12.61/12.81 1458. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq 1455 1456 1457 % 12.61/12.81 1459. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e2) != (e3)) ### DisjTree 454 140 1458 1184 % 12.61/12.81 1460. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) (((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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (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 (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1452 1453 1454 1459 % 12.61/12.81 1461. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 1416 413 1460 % 12.61/12.81 1462. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 641 630 1461 % 12.61/12.81 1463. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.81 1464. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.81 1465. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=) % 12.61/12.81 1466. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq-sym 1463 1464 1465 % 12.61/12.81 1467. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.61/12.81 1468. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.61/12.81 1469. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=) % 12.61/12.81 1470. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 1467 1468 1469 % 12.61/12.81 1471. (((op (e1) (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 (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 1470 % 12.61/12.81 1472. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (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)))))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1438 1471 413 916 % 12.61/12.81 1473. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.81 1474. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.61/12.81 1475. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 1473 1474 584 % 12.61/12.81 1476. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.81 1477. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 208 1428 1476 % 12.61/12.81 1478. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.61/12.81 1479. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.61/12.81 1480. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=) % 12.61/12.81 1481. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq-sym 1478 1479 1480 % 12.61/12.81 1482. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1052 1422 606 1481 % 12.61/12.81 1483. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1416 413 1482 % 12.61/12.81 1484. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 641 1415 1483 % 12.61/12.81 1485. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.81 1486. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (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)) != (op (e0) (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) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 1484 1485 % 12.61/12.81 1487. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.81 1488. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 954 1484 1487 % 12.61/12.81 1489. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (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) (e0)) != (op (e0) (e2))) (((op (e1) (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 (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 208 1486 1488 % 12.61/12.81 1490. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((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)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 1477 1136 1157 1489 % 12.61/12.81 1491. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 12.61/12.81 1492. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 12.61/12.81 1493. ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) = (e0)) ### TransEq 1491 1492 76 % 12.61/12.81 1494. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.81 1495. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 1415 1494 % 12.61/12.81 1496. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 246 1495 711 % 12.61/12.81 1497. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e3)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 743 1496 1422 % 12.61/12.81 1498. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) = (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1490 1493 1153 1497 % 12.61/12.81 1499. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((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)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 1475 1411 1498 % 12.61/12.81 1500. (((op (e1) (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 (e1) (e1)) = (e3)) ((e1) != (e3)) ### ConjTree 208 % 12.61/12.81 1501. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 981 1422 606 1425 % 12.61/12.81 1502. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1444 413 1501 % 12.61/12.81 1503. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 437 641 1415 1502 % 12.61/12.81 1504. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.81 1505. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (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) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 1503 1504 % 12.61/12.81 1506. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (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) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (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 (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1475 1500 1505 934 % 12.61/12.81 1507. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (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)))))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1506 1493 1153 1497 % 12.61/12.82 1508. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (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 (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 1475 1411 1507 % 12.61/12.82 1509. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 338 1499 1508 % 12.61/12.82 1510. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (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))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((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)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1509 906 1439 831 % 12.61/12.82 1511. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (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 (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((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) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 1432 1510 321 1449 % 12.61/12.82 1512. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((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)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 1416 413 1511 % 12.61/12.82 1513. ((op (e0) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 641 1472 1512 % 12.61/12.82 1514. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) ((op (e2) (e1)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e2) != (e3)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 1428 1462 1466 1513 % 12.61/12.82 1515. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.82 1516. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((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)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 208 1514 1515 % 12.61/12.82 1517. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 12.61/12.82 1518. ((op (e1) (op (e1) (e1))) != (op (e1) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 76 1517 % 12.61/12.82 1519. ((e2) != (op (e1) (op (e1) (e1)))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 1518 60 % 12.61/12.82 1520. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 12.61/12.82 1521. ((op (e1) (op (e1) (e1))) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans 1518 60 % 12.61/12.82 1522. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e2)) ### NotEqual 1521 76 % 12.61/12.82 1523. ((e3) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e2) (e1)) = (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 1522 88 % 12.61/12.82 1524. (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e2)) ### DisjTree 1519 1520 1523 % 12.61/12.82 1525. (((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 (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 236 1524 1112 % 12.61/12.82 1526. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.82 1527. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 208 1462 1526 % 12.61/12.82 1528. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((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) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1052 1422 1451 1481 % 12.61/12.82 1529. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.61/12.82 1530. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) (((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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (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 (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1528 1529 1454 1459 % 12.61/12.82 1531. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((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) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 743 413 1530 % 12.61/12.82 1532. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 1117 630 1531 % 12.61/12.82 1533. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((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)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((op (e2) (e1)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e2) != (e3)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 1484 1532 1466 1513 % 12.61/12.82 1534. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.82 1535. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 208 1533 1534 % 12.61/12.82 1536. (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 1516 1525 1527 1535 % 12.61/12.82 1537. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 290 1411 1536 % 12.61/12.82 1538. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ### DisjTree 196 1470 413 916 % 12.61/12.82 1539. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 641 1538 1450 % 12.61/12.82 1540. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.82 1541. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (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) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 1539 1540 % 12.61/12.82 1542. (((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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e3) (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)) != (op (e2) (e0))) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 208 1541 934 % 12.61/12.82 1543. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (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) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((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 (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 1475 1411 1542 % 12.61/12.82 1544. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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 (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 338 1537 1543 % 12.61/12.82 1545. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (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 (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 743 413 1452 % 12.61/12.82 1546. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((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) (e0)) != (op (e2) (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) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 797 641 1472 1545 % 12.61/12.82 1547. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.82 1548. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (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)))))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (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 (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (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) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 1546 1547 % 12.61/12.82 1549. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.82 1550. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (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)))))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (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 (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 954 1546 1549 % 12.61/12.82 1551. (((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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((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) (e0)) != (op (e2) (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) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (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 (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 1500 1548 1550 % 12.61/12.82 1552. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) (((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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 797 641 1538 1450 % 12.61/12.82 1553. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.82 1554. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (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) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 1552 1553 % 12.61/12.82 1555. (((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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) (((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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (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 (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 1500 1554 934 % 12.61/12.82 1556. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((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) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 290 1411 1555 % 12.61/12.82 1557. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e1) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((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 (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 338 1551 1556 % 12.61/12.82 1558. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e2)) ### DisjTree 1405 1544 1557 303 % 12.61/12.82 1559. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1404 1558 1065 321 % 12.61/12.82 1560. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.82 1561. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.82 1562. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((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)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1561 1509 149 303 % 12.61/12.83 1563. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1560 1562 1065 321 % 12.61/12.83 1564. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.83 1565. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 1475 1411 396 % 12.61/12.83 1566. (((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)) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1564 1565 1065 321 % 12.61/12.83 1567. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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 1403 1559 1563 1566 % 12.61/12.83 1568. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.83 1569. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.83 1570. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.61/12.83 1571. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 389 1569 1570 584 % 12.61/12.83 1572. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.83 1573. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.83 1574. (((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))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1567 916 % 12.61/12.83 1575. (((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)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### Or 1574 1472 % 12.61/12.83 1576. (((op (e1) (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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 53 % 12.61/12.83 1577. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.83 1578. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.83 1579. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.83 1580. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 1475 358 396 % 12.61/12.83 1581. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1579 1580 797 229 % 12.61/12.83 1582. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1566 53 1581 262 % 12.61/12.83 1583. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.83 1584. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.61/12.83 1585. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.61/12.83 1586. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.61/12.83 1587. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 12.61/12.83 1588. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 1585 1586 1587 % 12.61/12.83 1589. (((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 (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 1588 1448 383 572 % 12.61/12.83 1590. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1589 449 321 595 % 12.61/12.83 1591. (((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 (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 396 1583 1584 1590 % 12.61/12.83 1592. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 1582 1470 1591 916 % 12.61/12.83 1593. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (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) (e1)) != (op (e1) (e3))) (((op (e1) (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) (e3)) = (e3)) ((e1) != (e3)) ### DisjTree 196 1471 1591 916 % 12.61/12.83 1594. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e1) (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 (e1) (e1)) != (op (e1) (e3))) (((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 (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1593 1475 358 396 % 12.61/12.83 1595. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (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 (e2) (e0)) = (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (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)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1592 338 537 1594 % 12.61/12.83 1596. ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) = (e1)) (((op (e1) (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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1578 1595 797 303 % 12.61/12.83 1597. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (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 (e2) (e0)) = (e1)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (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)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (e2)) ### DisjTree 1577 1596 495 321 % 12.61/12.83 1598. ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### DisjTree 1575 1576 1597 262 % 12.61/12.83 1599. (((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))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### DisjTree 1575 1288 1598 1582 % 12.61/12.83 1600. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.83 1601. ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((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) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((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) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1042 1510 1600 873 % 12.61/12.83 1602. ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (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))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((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)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) (((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) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1052 1422 1601 1481 % 12.61/12.83 1603. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e1)) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e2)) = (e3)) ((op (e0) (e3)) = (e1)) ((op (e3) (e0)) = (e3)) (((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)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1599 1602 96 1425 % 12.61/12.83 1604. (((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))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e3) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 1416 178 1603 % 12.61/12.83 1605. ((op (e0) (e2)) = (e3)) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e2)) (((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)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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))) ((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 1475 358 1604 % 12.61/12.83 1606. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) (((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) (e1)) != (op (e1) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 338 1605 196 % 12.61/12.83 1607. (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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))) ((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1573 1606 797 303 % 12.61/12.83 1608. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) (((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) (e1)) != (op (e1) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (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 (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 (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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)))))))) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1572 1607 1065 321 % 12.61/12.83 1609. (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 1567 53 1608 1571 % 12.61/12.83 1610. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.61/12.83 1611. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 873 653 1610 572 % 12.61/12.83 1612. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 602 1448 383 1611 % 12.61/12.83 1613. ((op (e1) (e0)) = (e0)) ((op (e3) (e1)) = (e1)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((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) (e1)) != (op (e1) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1609 1470 1612 751 % 12.61/12.83 1614. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.61/12.83 1615. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 12.61/12.83 1616. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 12.61/12.83 1617. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 1614 1615 1616 % 12.61/12.83 1618. (((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))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((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 (e1) (e0)) = (e0)) ((e1) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1571 1613 1617 916 % 12.61/12.84 1619. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.84 1620. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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))) ### DisjTree 1042 1450 1619 1612 % 12.61/12.84 1621. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((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) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e1)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (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) (e3)) = (e3)) ((e1) != (e3)) ### DisjTree 196 1471 1620 916 % 12.61/12.84 1622. (((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) (e3)) = (e3)) (((op (e1) (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 (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) (((op (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1571 1621 1617 916 % 12.61/12.84 1623. ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((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) (e1)) != (op (e1) (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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))))) ### DisjTree 1618 338 537 1622 % 12.61/12.84 1624. (((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))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1568 1623 495 321 % 12.61/12.84 1625. ((op (e1) (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 (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 1567 1288 1624 1609 % 12.61/12.84 1626. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.84 1627. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.84 1628. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.84 1629. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.61/12.84 1630. (((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 (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 389 1628 1629 1590 % 12.61/12.84 1631. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 437 641 1415 1630 % 12.61/12.84 1632. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.84 1633. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (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 338 562 1631 1632 % 12.61/12.84 1634. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.84 1635. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 954 1631 1634 % 12.61/12.84 1636. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (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 (e3) (e0)) = (e1)) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (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 (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 1500 1633 1635 % 12.61/12.84 1637. (((op (e1) (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 (e1) (e1)) = (e0)) ((e0) != (e1)) ### ConjTree 1493 % 12.61/12.84 1638. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1475 246 1633 711 % 12.61/12.84 1639. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e1) (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)))))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (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 (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1636 1637 1153 1638 % 12.61/12.84 1640. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.61/12.84 1641. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.84 1642. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 954 1415 1641 % 12.61/12.84 1643. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((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)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (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 (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1475 1500 1495 1642 % 12.61/12.84 1644. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 743 1643 1482 % 12.61/12.84 1645. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (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 (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 1640 1136 1157 1644 % 12.61/12.84 1646. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.61/12.84 1647. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (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 (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (e0)) ### DisjTree 1646 476 1157 1644 % 12.61/12.84 1648. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1645 1493 1153 1647 % 12.61/12.84 1649. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (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 (e3) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1475 208 1633 934 % 12.61/12.84 1650. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.61/12.84 1651. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.61/12.84 1652. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 831 1650 1651 595 % 12.61/12.84 1653. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (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 (e0) (e1)) = (e2)) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1649 1475 1652 389 % 12.61/12.84 1654. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (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 (e3) (e0)) = (e1)) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (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)))))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1639 338 1648 1653 % 12.61/12.84 1655. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e1) (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)))))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (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 (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1627 1654 149 303 % 12.61/12.84 1656. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (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 (e3) (e0)) = (e1)) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e1) (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)))))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1626 1655 495 321 % 12.61/12.84 1657. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((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)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1563 1576 437 1656 % 12.61/12.84 1658. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.84 1659. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.84 1660. (((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))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (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 (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 338 1648 196 % 12.61/12.84 1661. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1659 1660 149 421 % 12.61/12.84 1662. (((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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (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 (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1658 1661 1065 131 % 12.61/12.84 1663. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (e0)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 1567 53 437 1662 % 12.61/12.84 1664. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (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) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((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)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (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 (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1563 1288 1657 1663 % 12.61/12.84 1665. ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((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 (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 1042 1625 1664 1599 % 12.61/12.84 1666. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ### Or 1665 916 % 12.61/12.84 1667. ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((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 (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))) ### Or 1666 1472 % 12.61/12.84 1668. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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 (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 1667 1575 % 12.61/12.84 1669. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 1668 % 12.61/12.85 1670. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 % 12.61/12.85 1671. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 12.61/12.85 1672. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.85 1673. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.85 1674. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.61/12.85 1675. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.85 1676. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.61/12.85 1677. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 12.61/12.85 1678. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) = (e2)) ### TransEq-sym 1675 1676 1677 % 12.61/12.85 1679. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 140 1678 144 % 12.61/12.85 1680. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.61/12.85 1681. (((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 (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 149 1679 77 1680 % 12.61/12.85 1682. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1443 1681 545 % 12.61/12.85 1683. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1674 1682 149 303 % 12.61/12.85 1684. (((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 (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1673 1683 1065 321 % 12.61/12.85 1685. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.61/12.85 1686. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 12.61/12.85 1687. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 12.61/12.85 1688. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 1685 1686 1687 % 12.61/12.85 1689. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 1688 % 12.61/12.85 1690. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1689 437 204 % 12.61/12.85 1691. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1684 1275 1690 216 % 12.69/12.85 1692. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.69/12.85 1693. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.69/12.85 1694. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 12.69/12.85 1695. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 12.69/12.85 1696. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 12.69/12.85 1697. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 1694 1695 1696 % 12.69/12.85 1698. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1693 1679 1697 303 % 12.69/12.85 1699. (((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)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1692 1698 426 321 % 12.69/12.85 1700. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 630 41 1699 120 % 12.69/12.85 1701. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.69/12.85 1702. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((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)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 1700 562 268 1701 % 12.69/12.85 1703. ((e1) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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 (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ### DisjTree 1065 1702 77 144 % 12.69/12.85 1704. (((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))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 1117 1703 1448 % 12.69/12.85 1705. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 246 216 383 954 % 12.69/12.85 1706. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 1432 1705 321 1444 % 12.69/12.85 1707. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1706 41 545 % 12.69/12.85 1708. (((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))) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 1707 1703 1448 % 12.69/12.85 1709. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (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)) != (op (e3) (e3))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (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) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1691 1704 1466 1708 % 12.69/12.85 1710. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1672 1709 1065 321 % 12.69/12.85 1711. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.69/12.85 1712. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.69/12.85 1713. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 797 1698 826 1712 % 12.69/12.85 1714. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1711 1713 495 321 % 12.69/12.85 1715. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((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 (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1688 1714 204 % 12.69/12.85 1716. ((e2) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (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) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 1710 1275 1715 216 % 12.69/12.85 1717. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.69/12.85 1718. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.69/12.85 1719. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.69/12.85 1720. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=) % 12.69/12.85 1721. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 1718 1719 1720 % 12.69/12.85 1722. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 1721 1411 396 % 12.69/12.85 1723. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1717 1722 1065 321 % 12.69/12.85 1724. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((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 (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1688 1714 262 % 12.69/12.85 1725. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (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) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((e0) != (e2)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1723 1275 1724 216 % 12.69/12.85 1726. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1042 1716 1691 1725 % 12.69/12.85 1727. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1443 268 545 % 12.69/12.85 1728. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.69/12.85 1729. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom % 12.69/12.85 1730. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 140 824 144 % 12.69/12.85 1731. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1729 1730 797 303 % 12.69/12.85 1732. (((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)) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1728 1731 1065 321 % 12.69/12.85 1733. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) ((op (e0) (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) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1689 1732 204 % 12.69/12.85 1734. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 1727 1275 1733 216 % 12.69/12.85 1735. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (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) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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))))) ### Or 1726 1734 % 12.69/12.85 1736. (((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 (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e3)) = (e1)) ### Or 1671 1735 % 12.69/12.85 1737. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (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) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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))))) ### ConjTree 1736 % 12.69/12.85 1738. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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))))) ### ConjTree 1699 % 12.69/12.85 1739. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 144 % 12.69/12.85 1740. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 12.69/12.85 1741. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e3) (e3)) = (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e3)) ### Or 1740 1425 % 12.69/12.85 1742. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e2)) ### ConjTree 1741 % 12.69/12.85 1743. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.69/12.85 1744. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e3) (e3)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ### Or 1743 916 % 12.69/12.85 1745. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e2)) ### ConjTree 1744 % 12.69/12.85 1746. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.69/12.85 1747. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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)) ### ConjTree 1746 % 12.69/12.85 1748. (((op (e3) (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) (e3)) = (e2)) ((e2) != (e3)) ### ConjTree 584 % 12.69/12.85 1749. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e2) (e1)) != (op (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 (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (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) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ### DisjTree 1043 1044 1048 1053 1400 1669 1670 1737 1066 1738 1068 1739 1742 1745 1747 1748 % 12.69/12.85 1750. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e2)) ((e0) != (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)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 1749 % 12.69/12.85 1751. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.69/12.85 1752. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ### ConjTree 1751 % 12.69/12.85 1753. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.69/12.85 1754. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.69/12.85 1755. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 12.69/12.85 1756. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 1753 1754 1755 % 12.69/12.85 1757. (((op (e0) (e0)) = (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) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 1756 % 12.69/12.85 1758. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 30 % 12.69/12.85 1759. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 1052 % 12.69/12.85 1760. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom % 12.69/12.85 1761. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 12.69/12.85 1762. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e0) (e0)) != (e3)) ((op (e0) (e3)) = (e0)) ### Or 1760 1761 % 12.69/12.85 1763. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 1762 % 12.69/12.85 1764. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 12.69/12.85 1765. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ### Or 1764 236 % 12.69/12.85 1766. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (e1) (e1)) = (e3)) ### ConjTree 1765 % 12.69/12.85 1767. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom % 12.69/12.85 1768. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ### Or 1767 61 % 12.69/12.85 1769. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e1) (e1)) = (e3)) ### ConjTree 1768 % 12.69/12.85 1770. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.69/12.85 1771. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) ### ConjTree 1770 % 12.69/12.85 1772. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 12.69/12.85 1773. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 1772 185 454 981 % 12.69/12.85 1774. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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 (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### ConjTree 1773 % 12.69/12.85 1775. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 12.69/12.85 1776. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 1721 1411 964 % 12.69/12.85 1777. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 140 1697 1776 % 12.69/12.85 1778. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 12.69/12.85 1779. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=) % 12.69/12.85 1780. ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 1778 1779 34 % 12.69/12.85 1781. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 1777 426 1780 % 12.69/12.85 1782. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 12.69/12.85 1783. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 1782 185 193 981 % 12.69/12.85 1784. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1783 200 426 1780 % 12.69/12.85 1785. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.69/12.85 1786. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 12.69/12.85 1787. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=) % 12.69/12.85 1788. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq 1785 1786 1787 % 12.69/12.85 1789. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 115 1198 372 120 % 12.69/12.85 1790. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.69/12.85 1791. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 602 1790 940 954 % 12.69/12.85 1792. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.69/12.85 1793. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 1588 1792 383 954 % 12.69/12.85 1794. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (e1)) ((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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 1780 1789 1791 1793 % 12.69/12.85 1795. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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) (e3)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1788 1794 87 916 % 12.69/12.85 1796. (((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 (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e3)) != (e1)) ((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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1784 1275 1436 1795 % 12.69/12.85 1797. (((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))))) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1796 236 239 1588 % 12.69/12.85 1798. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1797 200 426 1780 % 12.69/12.86 1799. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 12.69/12.86 1800. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 1799 185 537 981 % 12.69/12.86 1801. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 12.69/12.86 1802. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=) % 12.69/12.86 1803. ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 1801 1802 34 % 12.69/12.86 1804. (((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) (e0)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1781 1798 1800 1803 % 12.69/12.86 1805. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ### Or 1775 1804 % 12.69/12.86 1806. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (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) (e0)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1805 % 12.69/12.86 1807. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.69/12.86 1808. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.69/12.86 1809. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 208 1807 1808 % 12.69/12.86 1810. (((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)))))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 1678 % 12.69/12.86 1811. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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) (e3)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((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)))))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 61 1810 1794 % 12.69/12.86 1812. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) = (e0)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 61 239 115 % 12.69/12.86 1813. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (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)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1812 1198 1810 120 % 12.69/12.86 1814. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) (((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)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1811 236 1813 1588 % 12.69/12.86 1815. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((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)))))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (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) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 1814 826 1803 % 12.69/12.86 1816. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) (((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)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1815 1793 % 12.69/12.86 1817. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((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)))))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (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) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### DisjTree 1816 200 618 1780 % 12.69/12.86 1818. ((op (e3) (e2)) != (e3)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((e2) != (e3)) (((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)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e2)) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 1809 1817 826 1803 % 12.69/12.86 1819. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((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)))))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 1818 1793 % 12.69/12.86 1820. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((e2) != (e3)) (((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)))))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### Or 1819 61 % 12.69/12.86 1821. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((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)))))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ### ConjTree 1820 % 12.69/12.86 1822. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 1762 % 12.69/12.86 1823. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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)) = (e0)) ((e0) != (e3)) ### ConjTree 981 % 12.69/12.86 1824. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 954 % 12.69/12.86 1825. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 12.69/12.86 1826. (((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 (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 1825 185 354 981 % 12.69/12.86 1827. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (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))))) ### ConjTree 1826 % 12.69/12.86 1828. (((op (e3) (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) (e3)) = (e0)) ((op (e0) (e0)) != (e3)) ### ConjTree 1762 % 12.69/12.86 1829. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((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)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e3)) != (e1)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 1757 1758 1759 1763 1766 1500 1769 1771 1774 1806 1821 1822 1823 1824 1827 1828 % 12.69/12.86 1830. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (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))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e2)) (((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) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 1829 % 12.69/12.86 1831. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 12.69/12.86 1832. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.69/12.86 1833. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1831 307 949 1832 % 12.69/12.86 1834. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.69/12.86 1835. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 12.69/12.86 1836. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 12.69/12.86 1837. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ((op (e3) (e3)) = (e0)) ### TransEq 1834 1835 1836 % 12.69/12.86 1838. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### Or 1833 1837 % 12.69/12.86 1839. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ### ConjTree 1838 % 12.69/12.86 1840. (((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)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 338 978 981 % 12.69/12.86 1841. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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 (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 1840 620 1780 % 12.71/12.86 1842. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 12.71/12.86 1843. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 12.71/12.86 1844. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=) % 12.71/12.86 1845. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 1842 1843 1844 % 12.71/12.86 1846. (((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 (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ### DisjTree 65 1845 426 925 % 12.71/12.86 1847. (((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 (e1) (e2)) != (op (e3) (e2))) ((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 (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 1416 413 1846 % 12.71/12.86 1848. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e1) (e1)) = (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 (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (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))))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 1117 268 1847 % 12.71/12.86 1849. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 12.71/12.86 1850. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 12.71/12.86 1851. ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 1849 1850 34 % 12.71/12.86 1852. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (((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 (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 (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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) (e2)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1841 1848 1851 1432 % 12.71/12.86 1853. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e3)) != (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 (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (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))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (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)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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 (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 1840 1852 1780 % 12.71/12.86 1854. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 12.71/12.86 1855. ((e1) != (op (e2) (op (e2) (e2)))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1012 76 % 12.71/12.86 1856. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=) % 12.71/12.86 1857. ((op (e2) (op (e2) (e2))) != (e1)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans 1012 76 % 12.71/12.86 1858. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e1)) ### NotEqual 1857 60 % 12.71/12.86 1859. ((e0) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e1) (e2)) = (e0)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1858 34 % 12.71/12.86 1860. (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e1)) ### DisjTree 1855 1856 1859 % 12.71/12.86 1861. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e0)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 1117 268 1860 % 12.71/12.86 1862. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.71/12.86 1863. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.71/12.86 1864. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 12.71/12.86 1865. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq-sym 1862 1863 1864 % 12.71/12.86 1866. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1841 1861 1865 1432 % 12.71/12.86 1867. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (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)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 1493 1866 1588 % 12.71/12.86 1868. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1854 1867 949 396 % 12.71/12.86 1869. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((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) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (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 (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (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))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1403 1853 1841 1868 % 12.71/12.86 1870. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.71/12.86 1871. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.86 1872. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 1870 824 1871 % 12.71/12.86 1873. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 12.71/12.86 1874. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1873 338 537 981 % 12.71/12.86 1875. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((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)) != (op (e2) (e0))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1872 1874 495 1780 % 12.71/12.86 1876. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e3)) != (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 (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((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 (e2) (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)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (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 (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (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) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 1869 1288 1875 1803 % 12.71/12.86 1877. (((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)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((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) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (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 (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (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 (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))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1876 268 % 12.71/12.86 1878. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((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 (e2) (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)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (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 (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (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) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1877 % 12.71/12.86 1879. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom % 12.71/12.86 1880. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.71/12.86 1881. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.86 1882. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 149 1299 1880 1881 % 12.71/12.86 1883. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1882 1117 1851 1432 % 12.71/12.86 1884. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e0) != (e1)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### Or 1883 824 % 12.71/12.86 1885. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e2)) = (e1)) ### Or 1879 1884 % 12.71/12.86 1886. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e0) != (e1)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### ConjTree 1885 % 12.71/12.86 1887. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 1762 % 12.71/12.86 1888. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 12.71/12.86 1889. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e2)) ### Or 1888 1851 % 12.71/12.86 1890. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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 (e2) (e2)) = (e3)) ### ConjTree 1889 % 12.71/12.86 1891. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 12.71/12.86 1892. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ### Or 1891 268 % 12.71/12.86 1893. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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) != (e3)) ((op (e2) (e2)) = (e3)) ### ConjTree 1892 % 12.71/12.86 1894. (((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)))))))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ### ConjTree 824 % 12.71/12.86 1895. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.86 1896. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) ### ConjTree 1895 % 12.71/12.86 1897. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom % 12.71/12.86 1898. (((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)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 1897 1131 978 981 % 12.71/12.86 1899. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### ConjTree 1898 % 12.71/12.86 1900. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ### ConjTree 1000 % 12.71/12.86 1901. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (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 (e2) (e2)) != (op (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 (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 1757 1758 1759 1763 1839 1878 1886 1887 1890 1893 1894 1896 1823 1899 1900 1828 % 12.71/12.86 1902. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((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 (e2) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (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) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 1901 % 12.71/12.86 1903. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 12.71/12.86 1904. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 1903 % 12.71/12.86 1905. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.71/12.86 1906. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 1905 % 12.71/12.86 1907. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.71/12.86 1908. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ### ConjTree 1907 % 12.71/12.86 1909. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 12.71/12.86 1910. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.86 1911. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ### Or 1909 1910 % 12.71/12.86 1912. (((op (e0) (e0)) = (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) (e0)) = (e1)) ((op (e1) (e1)) != (e0)) ### ConjTree 1911 % 12.71/12.86 1913. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 12.71/12.86 1914. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) = (e0)) ### Or 1913 1072 % 12.71/12.86 1915. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 (e1) (e0))) ((op (e1) (e0)) = (e1)) ### ConjTree 1914 % 12.71/12.86 1916. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 788 % 12.71/12.86 1917. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom % 12.71/12.86 1918. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom % 12.71/12.86 1919. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) ### Or 1918 464 % 12.71/12.86 1920. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.86 1921. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 35 1920 1360 1170 % 12.71/12.86 1922. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom % 12.71/12.86 1923. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) ### Or 1922 181 % 12.71/12.86 1924. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 338 537 981 % 12.71/12.86 1925. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.86 1926. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 12.71/12.86 1927. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 12.71/12.86 1928. ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e1)) ### TransEq 1926 1927 60 % 12.71/12.86 1929. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 12.71/12.86 1930. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=) % 12.71/12.86 1931. ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e2)) ### TransEq-sym 1929 1930 34 % 12.71/12.86 1932. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.86 1933. (((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 (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) ### DisjTree 1925 1928 1931 1932 % 12.71/12.86 1934. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.86 1935. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 537 562 1851 469 % 12.71/12.86 1936. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 495 140 1678 1935 % 12.71/12.86 1937. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.86 1938. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (e2)) ### DisjTree 1934 1936 1931 1937 % 12.71/12.86 1939. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.86 1940. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.86 1941. (((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 (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 1940 53 1299 562 % 12.71/12.86 1942. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.86 1943. (((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 (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (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 (e2) (e0)) != (e2)) ### DisjTree 1939 1941 1931 1942 % 12.71/12.86 1944. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.86 1945. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.86 1946. (((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 (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) ### DisjTree 1944 1414 1931 1945 % 12.71/12.86 1947. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 954 1946 653 % 12.71/12.86 1948. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e0)) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((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 (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 1938 1943 1947 % 12.71/12.86 1949. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 1933 1948 % 12.71/12.86 1950. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.86 1951. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (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 (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1949 1950 1360 1170 % 12.71/12.86 1952. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.86 1953. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1951 1952 1865 1588 % 12.71/12.86 1954. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.86 1955. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((e1) != (e2)) ((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) (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 (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1924 1953 1954 229 % 12.71/12.87 1956. (((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) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e2) != (e3)) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ### DisjTree 1923 1955 495 1780 % 12.71/12.87 1957. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 1958. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 449 1957 229 % 12.71/12.87 1959. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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 (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) ((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) (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 (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (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) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e0)) ((e1) != (e3)) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ### DisjTree 1919 1921 1956 1958 % 12.71/12.87 1960. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 1959 1851 % 12.71/12.87 1961. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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 (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((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) (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 (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (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) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) = (e0)) ### Or 1917 1960 % 12.71/12.87 1962. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1961 % 12.71/12.87 1963. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 1911 % 12.71/12.87 1964. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e0)) != (op (e1) (e2))) ### ConjTree 541 % 12.71/12.87 1965. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 1966. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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)) ### ConjTree 1965 % 12.71/12.87 1967. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 12.71/12.87 1968. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ### Or 1967 68 % 12.71/12.87 1969. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (e2) (e2)) = (e0)) ### ConjTree 1968 % 12.71/12.87 1970. (((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)))))))) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ### ConjTree 1931 % 12.71/12.87 1971. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.71/12.87 1972. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e2) (e3)) = (e2)) ### Or 1971 1851 % 12.71/12.87 1973. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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) != (e3)) ((op (e2) (e2)) = (e0)) ### ConjTree 1972 % 12.71/12.87 1974. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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 1911 % 12.71/12.87 1975. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.71/12.87 1976. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.87 1977. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1975 1976 1360 1193 % 12.71/12.87 1978. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### Or 1977 1072 % 12.71/12.87 1979. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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 (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ### ConjTree 1978 % 12.71/12.87 1980. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.71/12.87 1981. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 12.71/12.87 1982. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 12.71/12.87 1983. ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 1981 1982 34 % 12.71/12.87 1984. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 298 % 12.71/12.87 1985. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (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)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 307 294 1984 % 12.71/12.87 1986. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 1987. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### DisjTree 788 906 1986 294 % 12.71/12.87 1988. (((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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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)) = (e2)) ((e0) != (e2)) ### DisjTree 326 299 788 416 % 12.71/12.87 1989. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 500 1931 % 12.71/12.87 1990. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (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))))) ### Or 1988 1989 % 12.71/12.87 1991. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 1992. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.71/12.87 1993. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (e2)) ### DisjTree 1991 1679 1992 377 % 12.71/12.87 1994. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 1995. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (e2)) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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) != (e2)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### DisjTree 1990 1993 1994 303 % 12.71/12.87 1996. (((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)) ((e1) != (e2)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e3)) = (e2)) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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))))) ### DisjTree 299 1995 495 321 % 12.71/12.87 1997. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.71/12.87 1998. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (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) (e2)) != (e1)) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 1997 427 363 % 12.71/12.87 1999. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) (((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) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e3)) = (e2)) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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) != (e2)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### DisjTree 1990 1995 1998 131 % 12.71/12.87 2000. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (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 (e1) (e2)) != (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))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((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) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1987 35 1996 1999 % 12.71/12.87 2001. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 2002. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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))))) ### DisjTree 334 1993 2001 229 % 12.71/12.87 2003. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 416 2002 495 321 % 12.71/12.87 2004. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 307 294 396 % 12.71/12.87 2005. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 2006. (((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)) != (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) = (e0)) (((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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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) != (e2)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### DisjTree 1990 2004 2005 303 % 12.71/12.87 2007. (((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 (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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 (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((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 (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 1921 2003 2006 % 12.71/12.87 2008. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e0) != (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) (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 (e0) (e2)) != (op (e1) (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) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2000 788 2007 % 12.71/12.87 2009. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.71/12.87 2010. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (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 (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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))))) ### DisjTree 299 200 1998 1780 % 12.71/12.87 2011. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 2012. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1924 1993 2011 303 % 12.71/12.87 2013. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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))))) ### DisjTree 334 2012 495 321 % 12.71/12.87 2014. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (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 (e1) (e2)) != (e1)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1987 2010 2013 1803 % 12.71/12.87 2015. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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))))) ### DisjTree 334 2002 495 1780 % 12.71/12.87 2016. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (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 (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 1921 2015 1803 % 12.71/12.87 2017. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (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 (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((e2) != (e3)) ((e0) != (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) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 1756 2014 788 2016 % 12.71/12.87 2018. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (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 (e1) (e2)) != (e1)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((e1) != (e2)) ((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 (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (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) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1985 2008 2009 2017 % 12.71/12.87 2019. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (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)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e1) (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 (e0) (e2)) != (op (e1) (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) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ### Or 1980 2018 % 12.71/12.87 2020. ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (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 (e1) (e2)) != (e1)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((e1) != (e2)) ((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 (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (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) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### Or 2019 1931 % 12.71/12.87 2021. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.71/12.87 2022. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 2023. (((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)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 514 2022 303 % 12.71/12.87 2024. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (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) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 2023 321 % 12.71/12.87 2025. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (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 (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) (((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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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) != (e2)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### DisjTree 1990 127 2023 131 % 12.71/12.87 2026. (((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 (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (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 (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) (((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 (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (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 (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1987 2024 496 2025 % 12.71/12.87 2027. (((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 (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e2)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (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))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 35 496 2025 % 12.71/12.87 2028. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.71/12.87 2029. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (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) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### DisjTree 500 200 2023 1780 % 12.71/12.87 2030. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e1) != (e2)) (((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)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2029 496 1803 % 12.71/12.87 2031. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (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))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2026 2027 2028 2030 % 12.71/12.87 2032. (((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 (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (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 (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (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 (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (e0)) ((op (e2) (e2)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ### Or 2021 2031 % 12.71/12.87 2033. ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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)) = (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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2032 1931 % 12.71/12.87 2034. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (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) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ### Or 2020 2033 % 12.71/12.87 2035. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (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))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((e1) != (e2)) ((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 (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (e0) (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) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ### Or 2034 1990 % 12.71/12.87 2036. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (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)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (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) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2035 % 12.71/12.87 2037. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 2038. (((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)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 1414 653 % 12.71/12.87 2039. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.71/12.87 2040. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.71/12.87 2041. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=) % 12.71/12.87 2042. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) = (e3)) ### TransEq 2039 2040 2041 % 12.71/12.87 2043. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 537 2038 1851 2042 % 12.71/12.87 2044. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.87 2045. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (e2)) ### DisjTree 2037 2043 1931 2044 % 12.71/12.87 2046. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 1933 2045 % 12.71/12.87 2047. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((e0) != (e2)) ### DisjTree 1780 602 157 610 % 12.71/12.87 2048. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 2046 495 2047 % 12.71/12.87 2049. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 208 1933 2045 % 12.71/12.87 2050. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2049 541 68 545 % 12.71/12.87 2051. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 1933 2050 % 12.71/12.87 2052. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 454 638 1851 363 % 12.71/12.87 2053. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e3) (e2)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### DisjTree 788 2052 1697 294 % 12.71/12.87 2054. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 674 1414 1851 2053 % 12.71/12.87 2055. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 541 68 2054 % 12.71/12.87 2056. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.87 2057. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.87 2058. (((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)) != (e2)) ### DisjTree 2056 372 618 2057 % 12.71/12.87 2059. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (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))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 61 2055 2058 % 12.71/12.87 2060. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 2051 2059 131 % 12.71/12.87 2061. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2045 541 413 545 % 12.71/12.87 2062. (((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))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((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 (e2) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 638 641 68 2061 % 12.71/12.87 2063. ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) ((e1) != (e3)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (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)) = (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 338 562 2062 567 % 12.71/12.88 2064. (((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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 2060 2063 572 % 12.71/12.88 2065. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (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) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 1933 2064 % 12.71/12.88 2066. (((op (e3) (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) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 2042 % 12.71/12.88 2067. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 537 562 1851 2066 % 12.71/12.88 2068. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (((op (e3) (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) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 35 2067 2060 % 12.71/12.88 2069. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (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)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e2) != (e3)) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ### DisjTree 1923 200 2059 1780 % 12.71/12.88 2070. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 2049 495 1780 % 12.71/12.88 2071. (((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 (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((e2) != (e3)) ((op (e0) (e3)) = (e0)) ((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)) != (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)) != (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))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2069 2070 1803 % 12.71/12.88 2072. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e0)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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))))) ((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 (e2) (e3)) != (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (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 (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 2068 1466 2071 % 12.71/12.88 2073. (((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))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((op (e2) (e2)) = (e0)) (((op (e3) (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) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2072 1851 % 12.71/12.88 2074. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.88 2075. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.88 2076. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) = (e2)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e3) (e2)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ### DisjTree 2074 2054 1931 2075 % 12.71/12.88 2077. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 541 413 2076 % 12.71/12.88 2078. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) != (e2)) ((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 (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 638 1933 68 2077 % 12.71/12.88 2079. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (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 (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 2073 2078 572 % 12.71/12.88 2080. (((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 (e3) (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 (e1) (e0))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 2065 2079 131 % 12.71/12.88 2081. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 35 2048 2080 % 12.71/12.88 2082. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.88 2083. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((e2) != (e3)) ((op (e3) (e2)) = (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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 2082 53 1299 1935 % 12.71/12.88 2084. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2055 140 1931 2083 % 12.71/12.88 2085. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((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)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2045 514 2084 106 % 12.71/12.88 2086. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((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 (e1) (e0)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (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) (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 53 1933 2085 % 12.71/12.88 2087. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.88 2088. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((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)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 2086 2087 229 % 12.71/12.88 2089. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 1921 2088 1958 % 12.71/12.88 2090. (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 2081 788 2089 % 12.71/12.88 2091. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) = (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (e2)) ((e0) != (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 (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e0)) (((op (e3) (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) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e2) != (e3)) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ### DisjTree 1923 200 2079 1780 % 12.71/12.88 2092. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 2046 495 1780 % 12.71/12.88 2093. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((e2) != (e3)) ((op (e0) (e3)) = (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))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (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 (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 (e0) (e0)) = (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2091 2092 1803 % 12.71/12.88 2094. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 1933 2045 % 12.71/12.88 2095. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.88 2096. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2094 2095 1360 1170 % 12.71/12.88 2097. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (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)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e0)) ((e2) != (e3)) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ### DisjTree 1923 2096 495 1780 % 12.71/12.88 2098. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e0)) ((e1) != (e3)) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ### DisjTree 1919 1921 2097 1958 % 12.71/12.88 2099. (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e0)) = (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (e2)) ((e0) != (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 (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e0)) (((op (e3) (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) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 1756 2093 788 2098 % 12.71/12.88 2100. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 2090 1466 2099 % 12.71/12.88 2101. ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ### Or 2100 1851 % 12.71/12.88 2102. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 358 1928 68 648 % 12.71/12.88 2103. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.88 2104. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.88 2105. (((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)) != (e2)) ### DisjTree 2103 372 1931 2104 % 12.71/12.88 2106. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((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)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((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)) = (e1)) ((e1) != (e2)) ### DisjTree 200 61 2102 2105 % 12.71/12.88 2107. (((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 (e1) (e1)) = (e3)) ((op (e0) (e2)) = (e3)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ### DisjTree 2101 307 2106 661 % 12.71/12.88 2108. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((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 (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ### DisjTree 2101 185 2107 595 % 12.71/12.88 2109. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 185 454 196 % 12.71/12.88 2110. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 2051 2109 131 % 12.71/12.88 2111. ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (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) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2108 2067 2110 % 12.71/12.88 2112. ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (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) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 2111 1943 572 % 12.71/12.88 2113. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.88 2114. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.71/12.88 2115. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 476 827 1299 185 % 12.71/12.88 2116. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) ### DisjTree 2114 2115 157 609 % 12.71/12.88 2117. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.88 2118. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e3)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (e2)) ### DisjTree 2113 2116 1931 2117 % 12.71/12.88 2119. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((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 (e0) (e3)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2118 537 595 % 12.71/12.88 2120. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e3) (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) (e1)) = (e0)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e3)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2119 2094 495 2047 % 12.71/12.88 2121. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 1721 358 661 % 12.71/12.88 2122. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 185 193 595 % 12.71/12.88 2123. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) (((op (e3) (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 (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 541 2121 2122 % 12.71/12.88 2124. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (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 (e3) (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)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 2123 413 545 % 12.71/12.88 2125. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e3) (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 (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 358 1928 68 2124 % 12.71/12.88 2126. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2050 61 2125 106 % 12.71/12.89 2127. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (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) (e0)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 1933 2126 % 12.71/12.89 2128. ((op (e0) (e1)) = (e0)) ((op (e2) (e3)) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ### DisjTree 2101 290 2127 661 % 12.71/12.89 2129. ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e2) (e3)) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ### DisjTree 2101 185 2128 196 % 12.71/12.89 2130. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e3)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2118 541 413 647 % 12.71/12.89 2131. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) != (e2)) ((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 (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 638 1933 68 2130 % 12.71/12.89 2132. ((op (e2) (e0)) = (e3)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e3)) != (e0)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e3)) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 2129 2131 572 % 12.71/12.89 2133. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.89 2134. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.89 2135. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.71/12.89 2136. (((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ### DisjTree 2134 2115 1931 2135 % 12.71/12.89 2137. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e3)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2136 541 413 647 % 12.71/12.89 2138. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) != (e2)) ((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 (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 638 1933 68 2137 % 12.71/12.89 2139. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e3)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((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 307 185 2138 711 % 12.71/12.89 2140. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e2) (e3)) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e1)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e3)) ### DisjTree 2132 2133 1865 2139 % 12.71/12.89 2141. (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e3)) != (e0)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) = (e1)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 307 2140 661 % 12.71/12.89 2142. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 358 1933 68 648 % 12.71/12.89 2143. (((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 (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 307 2142 660 % 12.71/12.89 2144. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2141 2143 595 % 12.71/12.89 2145. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 2050 2063 572 % 12.71/12.89 2146. ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 1933 2145 % 12.71/12.89 2147. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (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)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2059 185 454 595 % 12.71/12.89 2148. ((e0) != (e3)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e0)) ((op (e2) (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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e3)) = (e1)) ### DisjTree 2129 2051 2147 2047 % 12.71/12.89 2149. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 541 413 545 % 12.71/12.89 2150. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) != (e2)) ((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 (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 638 1933 68 2149 % 12.71/12.89 2151. ((op (e3) (e1)) = (e1)) ((op (e0) (e2)) = (e2)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 2148 2150 572 % 12.71/12.89 2152. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((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)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 1933 2151 % 12.71/12.89 2153. ((op (e1) (e0)) = (e0)) ((e2) != (e3)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (e0)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) = (e1)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 2144 2146 2152 131 % 12.71/12.89 2154. (((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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (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) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((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 (e0) (e3)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) (((op (e3) (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)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 35 2120 2153 % 12.71/12.89 2155. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e3)) != (e2)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ### DisjTree 2101 307 2142 396 % 12.71/12.89 2156. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((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 (e0) (e3)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2118 2155 595 % 12.71/12.89 2157. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e2) != (e3)) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 495 140 1678 2083 % 12.71/12.89 2158. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (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)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2046 514 2157 2105 % 12.71/12.89 2159. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.89 2160. ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e3)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e1) != (e2)) (((op (e3) (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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2156 2158 2159 229 % 12.71/12.89 2161. ((op (e3) (e0)) = (e0)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2141 2155 196 % 12.71/12.89 2162. ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (((op (e3) (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) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 35 2067 2148 % 12.71/12.89 2163. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 638 1928 68 2149 % 12.71/12.89 2164. ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 2162 2163 572 % 12.71/12.89 2165. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e0)) (((op (e3) (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) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 514 2164 2105 % 12.71/12.89 2166. ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) = (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e2))) ((e1) != (e3)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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 (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((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)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 1933 2165 % 12.71/12.90 2167. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.90 2168. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((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 307 185 2163 711 % 12.71/12.90 2169. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (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 (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((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) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 514 2168 106 % 12.71/12.90 2170. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((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))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1921 53 1933 2169 % 12.71/12.90 2171. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e3)) (((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))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (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) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 2166 2167 1865 2170 % 12.71/12.90 2172. ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e2))) ((e1) != (e3)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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 (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((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)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 2171 454 196 % 12.71/12.90 2173. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.71/12.90 2174. (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e3)) (((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))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (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) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 2172 2173 229 % 12.71/12.90 2175. ((op (e0) (e0)) != (op (e0) (e2))) ((e2) != (e3)) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (e0)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) = (e1)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e0)) ### DisjTree 2161 2146 2174 131 % 12.71/12.90 2176. (((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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) = (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) (e3)) != (op (e3) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((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 (e0) (e3)) != (e0)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 1921 2160 2175 % 12.71/12.90 2177. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (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) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((op (e0) (e3)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((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) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2154 788 2176 % 12.71/12.90 2178. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.71/12.90 2179. ((op (e0) (e0)) != (op (e0) (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((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)) != (op (e3) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 2112 2177 1466 2178 % 12.71/12.90 2180. ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (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) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ### Or 2179 1851 % 12.71/12.90 2181. ((op (e0) (e0)) != (op (e0) (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e0) != (e3)) (((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 (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (((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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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 (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((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)) != (op (e3) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ### Or 2180 2101 % 12.71/12.90 2182. ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (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) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 2181 % 12.71/12.90 2183. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (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) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((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 (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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 (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((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) (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 (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (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) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ### DisjTree 1912 1915 1916 1962 1963 1576 1964 1689 1966 1969 1970 1973 1974 1979 2036 2182 % 12.71/12.90 2184. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (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)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (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) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (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) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (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 (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (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 (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 2183 % 12.71/12.90 2185. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom % 12.71/12.90 2186. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.90 2187. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 35 2186 1157 1481 % 12.71/12.90 2188. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.71/12.90 2189. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.71/12.90 2190. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ### DisjTree 2188 1131 2189 609 % 12.71/12.90 2191. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.90 2192. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.71/12.90 2193. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.71/12.90 2194. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=) % 12.71/12.90 2195. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq-sym 2192 2193 2194 % 12.71/12.90 2196. (((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)) != (e0)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 2191 1153 2195 % 12.71/12.90 2197. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.71/12.90 2198. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.71/12.90 2199. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 12.71/12.90 2200. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=) % 12.71/12.90 2201. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 2198 2199 2200 % 12.71/12.90 2202. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.71/12.90 2203. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ### DisjTree 2197 2201 2202 609 % 12.71/12.90 2204. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.71/12.90 2205. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.71/12.90 2206. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ### DisjTree 2204 1126 2205 609 % 12.71/12.90 2207. ((e1) != (op (e3) (op (e3) (e3)))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) ### Trans-sym 1212 76 % 12.71/12.90 2208. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=) % 12.71/12.90 2209. ((op (e3) (op (e3) (e3))) != (e1)) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) ### Trans 1212 76 % 12.71/12.90 2210. ((op (op (e3) (op (e3) (e3))) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) = (e1)) ### NotEqual 2209 88 % 12.71/12.90 2211. ((e2) != (op (op (e3) (op (e3) (e3))) (e3))) ((op (e1) (e3)) = (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) ### Trans-sym 2210 60 % 12.71/12.90 2212. (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) = (e1)) ### DisjTree 2207 2208 2211 % 12.71/12.90 2213. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) = (e1)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 2195 1448 2212 934 % 12.71/12.90 2214. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ### DisjTree 196 1688 2213 783 % 12.71/12.90 2215. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1788 1104 1184 1425 % 12.71/12.90 2216. (((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)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2214 653 2215 783 % 12.71/12.90 2217. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (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 (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 562 2206 2216 % 12.71/12.90 2218. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((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 2196 2203 2217 934 % 12.71/12.90 2219. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 537 2218 % 12.71/12.90 2220. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom % 12.71/12.90 2221. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ### Or 2220 181 % 12.71/12.90 2222. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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) (e0)) = (e3)) ### ConjTree 2221 % 12.71/12.90 2223. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.71/12.90 2224. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.71/12.90 2225. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.71/12.90 2226. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ### DisjTree 2224 2215 2225 609 % 12.71/12.90 2227. (((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)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 1411 2226 674 % 12.71/12.90 2228. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 2223 41 2227 % 12.71/12.90 2229. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 541 41 2215 % 12.71/12.90 2230. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 61 641 2229 % 12.71/12.90 2231. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 562 2206 1104 % 12.71/12.90 2232. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.71/12.90 2233. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.71/12.90 2234. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ### DisjTree 2232 1131 2233 572 % 12.71/12.90 2235. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2234 954 2206 1104 % 12.71/12.90 2236. (((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) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 2203 2231 2235 % 12.71/12.90 2237. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) (((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)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2228 2230 1928 2236 % 12.71/12.90 2238. (((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)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 2203 2206 653 % 12.71/12.90 2239. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 2237 2238 % 12.71/12.90 2240. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.90 2241. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) != (e1)) ((op (e2) (e1)) != (op (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)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2239 2240 1157 1481 % 12.71/12.90 2242. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.71/12.90 2243. (((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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (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 (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 2222 307 2241 2242 % 12.71/12.90 2244. (((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)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (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) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e1)) != (op (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 (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 2222 2190 2243 196 % 12.71/12.90 2245. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (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))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2187 2219 2244 % 12.71/12.90 2246. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (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 (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2245 1425 % 12.71/12.91 2247. (((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)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 61 2206 653 % 12.71/12.91 2248. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 367 2230 2247 % 12.71/12.91 2249. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.91 2250. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2248 2249 1157 1481 % 12.71/12.91 2251. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.71/12.91 2252. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2214 653 1184 982 % 12.71/12.91 2253. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 495 102 2251 2252 % 12.71/12.91 2254. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 562 641 2253 % 12.71/12.91 2255. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (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 (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 2203 2254 934 % 12.71/12.91 2256. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.71/12.91 2257. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.71/12.91 2258. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2256 653 2257 595 % 12.71/12.91 2259. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e2)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e3)) ((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))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 2255 2258 % 12.71/12.91 2260. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.91 2261. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 367 1117 2258 % 12.71/12.91 2262. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (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 (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2259 2260 2261 1481 % 12.71/12.91 2263. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.91 2264. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e2)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) = (e3)) ((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))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2262 2263 1153 2195 % 12.71/12.91 2265. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (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 (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 2222 2190 2250 2264 % 12.71/12.91 2266. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 2250 196 % 12.71/12.91 2267. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (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))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2187 2265 2266 % 12.71/12.91 2268. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (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 (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2267 1425 % 12.71/12.91 2269. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1788 844 1184 1425 % 12.71/12.91 2270. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 541 77 2269 % 12.71/12.91 2271. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 514 1181 421 % 12.71/12.91 2272. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2271 653 1617 783 % 12.71/12.91 2273. (((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))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 61 641 2272 % 12.71/12.91 2274. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 367 2273 2247 % 12.71/12.91 2275. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((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 (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (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))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2274 2190 537 884 % 12.71/12.91 2276. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) = (e1)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2275 2212 1458 1425 % 12.71/12.91 2277. ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((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 (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (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))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2276 653 2215 982 % 12.71/12.91 2278. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 2203 2206 2277 % 12.71/12.91 2279. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.71/12.91 2280. (((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)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((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 (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (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))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2278 2279 1153 2195 % 12.71/12.91 2281. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((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 (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (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))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2274 2190 537 2280 % 12.71/12.91 2282. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2270 53 2230 546 % 12.71/12.91 2283. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 2282 196 % 12.71/12.91 2284. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (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) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2283 127 618 131 % 12.71/12.91 2285. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (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 (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2270 2281 2284 % 12.71/12.91 2286. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (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))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2285 1425 % 12.77/12.91 2287. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (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 (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((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)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 2268 2286 % 12.77/12.91 2288. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (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))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 2246 2287 % 12.77/12.91 2289. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (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 (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e0) (e2)) = (e0)) ### Or 2185 2288 % 12.77/12.91 2290. ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (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) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (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))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (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))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### ConjTree 2289 % 12.77/12.91 2291. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### ConjTree 1837 % 12.77/12.91 2292. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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 1911 % 12.77/12.91 2293. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 12.77/12.91 2294. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.91 2295. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.77/12.91 2296. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2294 2295 311 609 % 12.77/12.91 2297. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.91 2298. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.77/12.91 2299. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2297 2298 354 572 % 12.77/12.91 2300. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.91 2301. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.77/12.91 2302. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2300 2301 311 572 % 12.77/12.91 2303. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.91 2304. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.77/12.91 2305. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2303 2304 1000 572 % 12.77/12.91 2306. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 421 372 469 1425 % 12.77/12.91 2307. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2306 1275 1436 783 % 12.77/12.91 2308. (((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)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) = (e1)) ((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 (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2299 2302 2305 2307 % 12.77/12.91 2309. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((e0) != (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 (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 185 2296 2308 % 12.77/12.91 2310. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.91 2311. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 35 2310 1219 1481 % 12.77/12.91 2312. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.91 2313. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) = (e2)) ((op (e3) (e3)) = (e0)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 307 2311 2312 % 12.77/12.91 2314. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (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))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) = (e1)) ((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 (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 2309 2313 884 % 12.77/12.91 2315. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((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 (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 140 1697 2314 % 12.77/12.91 2316. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (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))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) ((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 (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 426 2315 % 12.77/12.91 2317. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.77/12.91 2318. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.91 2319. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.77/12.91 2320. (((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)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 1721 1414 653 % 12.77/12.91 2321. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 2195 216 1270 954 % 12.77/12.91 2322. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.91 2323. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.77/12.91 2324. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((e2) != (e3)) ((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)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2322 2323 470 609 % 12.77/12.91 2325. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (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))) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 1157 178 2324 294 % 12.77/12.91 2326. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 12.77/12.91 2327. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 12.77/12.91 2328. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 12.77/12.91 2329. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) = (e2)) ### TransEq-sym 2326 2327 2328 % 12.77/12.91 2330. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 2329 % 12.77/12.91 2331. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2321 2325 2330 1705 % 12.77/12.91 2332. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 674 120 1893 2331 % 12.77/12.91 2333. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.77/12.91 2334. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 954 1414 2333 % 12.77/12.91 2335. (((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)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((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 2320 2332 2038 2334 % 12.77/12.91 2336. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 2319 1117 2335 % 12.77/12.91 2337. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (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)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 2317 2318 2336 1481 % 12.77/12.91 2338. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.77/12.91 2339. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.91 2340. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 2338 2339 630 1481 % 12.77/12.91 2341. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2337 338 2340 196 % 12.77/12.91 2342. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e1)) ((e0) != (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)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 2341 426 131 % 12.77/12.91 2343. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((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 (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2316 48 2342 % 12.77/12.91 2344. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.77/12.91 2345. (((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))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2340 562 1893 2307 % 12.77/12.91 2346. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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) != (e3)) (((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) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((e0) != (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 (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 2345 2296 2308 % 12.77/12.92 2347. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1788 106 469 1425 % 12.77/12.92 2348. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1788 372 469 916 % 12.77/12.92 2349. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2306 2347 363 2348 % 12.77/12.92 2350. (((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)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2299 2302 2305 2349 % 12.77/12.92 2351. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((e0) != (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 (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 185 2296 2350 % 12.77/12.92 2352. (((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)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (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))))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2351 2340 196 % 12.77/12.92 2353. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.92 2354. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.77/12.92 2355. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (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 (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2353 2354 427 609 % 12.77/12.92 2356. (((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 (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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) (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))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (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 (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2352 2341 2355 131 % 12.77/12.92 2357. (((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))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((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))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2346 48 2356 % 12.77/12.92 2358. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.77/12.92 2359. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.92 2360. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 2358 2359 1157 1481 % 12.77/12.92 2361. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 262 1275 363 783 % 12.77/12.92 2362. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2299 2302 2305 2361 % 12.77/12.92 2363. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((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 (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 185 2296 2362 % 12.77/12.92 2364. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.77/12.92 2365. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.77/12.92 2366. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 12.77/12.92 2367. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 12.77/12.92 2368. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq-sym 2365 2366 2367 % 12.77/12.92 2369. (((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 (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 1117 1466 2368 % 12.77/12.92 2370. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 229 106 469 1425 % 12.77/12.92 2371. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((e2) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2299 2302 2305 2370 % 12.77/12.92 2372. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 185 2296 2371 % 12.77/12.92 2373. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (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) (e1)) != (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2363 2364 2369 2372 % 12.77/12.92 2374. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.92 2375. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) = (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) (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) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((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 (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2373 2374 239 2195 % 12.77/12.92 2376. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.77/12.92 2377. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.92 2378. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 2376 2377 630 1170 % 12.77/12.92 2379. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.77/12.92 2380. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.92 2381. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 630 562 949 2361 % 12.77/12.92 2382. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 2381 2296 934 % 12.77/12.92 2383. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 2379 2380 2382 1170 % 12.77/12.92 2384. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.92 2385. (((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)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2383 2384 1153 2195 % 12.77/12.92 2386. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.92 2387. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) ((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 (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2196 2385 2386 % 12.77/12.92 2388. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (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) (e1)) != (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2375 2378 2387 % 12.77/12.92 2389. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (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 (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2363 2378 884 % 12.77/12.92 2390. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (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) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((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 (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2389 140 1697 229 % 12.77/12.92 2391. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) = (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) (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) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((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 (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2388 200 426 2390 % 12.77/12.92 2392. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (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) (e1)) != (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2375 2378 196 % 12.77/12.92 2393. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 338 2378 196 % 12.77/12.92 2394. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.92 2395. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.77/12.92 2396. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2394 2395 469 609 % 12.77/12.92 2397. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 72 83 2396 1425 % 12.77/12.92 2398. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2393 140 2397 229 % 12.77/12.92 2399. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) = (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) (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) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((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 (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2392 2398 1065 131 % 12.77/12.92 2400. (((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))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (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) (e1)) != (e1)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2391 48 2399 % 12.77/12.92 2401. (((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 (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((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 (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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) != (e3)) (((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) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((e0) != (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))))) ((e0) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((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 1042 2357 2360 2400 % 12.77/12.92 2402. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (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) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (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))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) ((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 (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2343 2344 2401 1837 % 12.77/12.92 2403. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((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 (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2402 783 % 12.77/12.92 2404. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (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) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (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))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((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 (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e2) (e1)) = (e2)) ### Or 2293 2403 % 12.77/12.92 2405. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((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 (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### Or 2404 53 % 12.77/12.92 2406. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (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) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (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))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((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 (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e2) (e1)) = (e2)) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ### Or 2405 1072 % 12.77/12.92 2407. (((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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((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 (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2406 % 12.77/12.92 2408. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.77/12.92 2409. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) (((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)))))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 2408 277 2226 % 12.77/12.92 2410. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.77/12.92 2411. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 333 2410 178 2226 % 12.77/12.92 2412. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.77/12.92 2413. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 2412 413 2226 % 12.77/12.92 2414. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2411 641 77 2413 % 12.77/12.92 2415. (((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)))))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 1458 % 12.77/12.92 2416. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ### DisjTree 884 2212 2415 144 % 12.77/12.92 2417. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 421 1104 2416 1425 % 12.77/12.92 2418. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2417 653 2215 783 % 12.77/12.92 2419. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 1721 2414 2418 % 12.77/12.92 2420. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 562 641 1104 % 12.77/12.92 2421. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 333 826 2420 934 % 12.77/12.92 2422. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.77/12.92 2423. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((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)))))))) ((op (e1) (e2)) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) = (e1)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (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 (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2421 2422 277 2226 % 12.77/12.92 2424. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) (((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)))))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 358 2423 77 2413 % 12.77/12.92 2425. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e1) (e2)) != (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((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)))))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 2270 1810 2424 % 12.77/12.92 2426. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.92 2427. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (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 181 2419 2425 2426 % 12.77/12.92 2428. (((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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 2409 2427 % 12.77/12.92 2429. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2417 653 2215 982 % 12.77/12.93 2430. (((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)) = (e2)) ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2429 1117 1931 2368 % 12.77/12.93 2431. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 562 641 2430 % 12.77/12.93 2432. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((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 (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (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))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 333 826 2431 934 % 12.77/12.93 2433. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (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) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 53 2432 2258 % 12.77/12.93 2434. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((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 (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 537 2433 % 12.77/12.93 2435. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 2409 196 % 12.77/12.93 2436. (((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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((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)))))))) ((op (e1) (e2)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2428 2434 2435 % 12.77/12.93 2437. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 562 641 2429 % 12.77/12.93 2438. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((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 (e3) (e3)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 826 2437 934 % 12.77/12.93 2439. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (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) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 53 2438 2258 % 12.77/12.93 2440. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.93 2441. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ### DisjTree 65 53 57 333 % 12.77/12.93 2442. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 641 2418 % 12.77/12.93 2443. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 333 826 2442 934 % 12.77/12.93 2444. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 346 562 641 2418 % 12.77/12.93 2445. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 333 826 2444 934 % 12.77/12.93 2446. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2443 2445 1678 2421 % 12.77/12.93 2447. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 2441 2446 2258 % 12.77/12.93 2448. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((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 (e3) (e3)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2439 2440 2447 2195 % 12.77/12.93 2449. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 537 2448 % 12.77/12.93 2450. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((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)))))))) ((op (e1) (e2)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2428 2449 2435 % 12.77/12.93 2451. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 358 1117 77 2413 % 12.77/12.93 2452. (((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)) = (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 (e2) (e0)) = (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 2451 1970 2368 % 12.77/12.93 2453. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.93 2454. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (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 181 2419 2452 2453 % 12.77/12.93 2455. (((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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 2409 2454 % 12.77/12.93 2456. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.93 2457. (((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 (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 1117 1865 2368 % 12.77/12.93 2458. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (op (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))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 2441 2457 2258 % 12.77/12.93 2459. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((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 (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (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))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2433 2456 2458 2195 % 12.77/12.93 2460. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 2409 2459 % 12.77/12.93 2461. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((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)))))))) ((op (e1) (e2)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2455 2460 2435 % 12.77/12.93 2462. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (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 (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 326 2436 2450 2461 % 12.77/12.93 2463. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e0) != (e2)) ((op (e0) (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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)))))))) ((op (e1) (e2)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (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) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2462 1425 % 12.77/12.93 2464. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (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) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 367 2432 2258 % 12.77/12.93 2465. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 537 2464 % 12.77/12.93 2466. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2270 2465 2283 % 12.77/12.93 2467. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2439 541 413 2269 % 12.77/12.93 2468. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 358 2437 77 2467 % 12.77/12.93 2469. ((e1) != (e3)) ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 61 2468 934 % 12.77/12.93 2470. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.93 2471. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (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 (e3) (e2)) != (e3)) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 2441 2445 2258 % 12.77/12.93 2472. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 2469 2470 2471 2195 % 12.77/12.93 2473. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.93 2474. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 333 2472 2473 % 12.77/12.93 2475. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 2282 2474 % 12.77/12.93 2476. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (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) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2270 2475 2283 % 12.77/12.93 2477. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.93 2478. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (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))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2464 2477 2458 2195 % 12.77/12.94 2479. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2190 537 2478 % 12.77/12.94 2480. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1300 2190 2282 196 % 12.77/12.94 2481. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((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 (e2) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (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 (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2270 2479 2480 % 12.77/12.94 2482. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (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 (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (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 (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (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 (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 326 2466 2476 2481 % 12.77/12.94 2483. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2482 1425 % 12.77/12.94 2484. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((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)))))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (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 (e0) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 2463 2483 % 12.77/12.94 2485. (((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)))))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 1181 % 12.77/12.94 2486. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 2190 2313 884 % 12.77/12.94 2487. ((op (e0) (e0)) = (e0)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) = (e1)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e1)) = (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)))))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (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) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### DisjTree 2484 514 2485 2486 % 12.77/12.94 2488. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((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)))))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (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))))) ((e0) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 2487 1810 2236 % 12.77/12.94 2489. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((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)))))))) ((op (e1) (e2)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2428 200 618 2488 % 12.77/12.94 2490. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2417 653 2227 783 % 12.77/12.94 2491. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 641 2490 % 12.77/12.94 2492. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 826 2491 934 % 12.77/12.94 2493. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (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) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 2492 2258 % 12.77/12.94 2494. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.94 2495. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 1117 2258 % 12.77/12.94 2496. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2493 2494 2495 1481 % 12.77/12.94 2497. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.94 2498. (((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) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 307 2496 2497 % 12.77/12.94 2499. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e0)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 338 537 2498 % 12.77/12.94 2500. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.94 2501. (((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))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((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)) != (e0)) ### DisjTree 2500 53 2271 562 % 12.77/12.94 2502. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 2206 653 % 12.77/12.94 2503. (((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))) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((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) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((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))))) ### DisjTree 2501 2502 1617 783 % 12.77/12.94 2504. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.77/12.94 2505. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)))))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((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)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((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 (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 537 2503 1894 2504 % 12.77/12.94 2506. (((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) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 826 2420 2235 % 12.77/12.94 2507. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (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) (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) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((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)))))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 2505 514 1678 2506 % 12.77/12.94 2508. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 307 826 2502 1611 % 12.77/12.94 2509. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (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) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2508 2275 1678 106 % 12.77/12.94 2510. ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (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)))))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (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 (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 53 2507 2509 % 12.77/12.94 2511. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((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)))))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 2510 2190 537 884 % 12.77/12.94 2512. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 421 653 1617 783 % 12.77/12.94 2513. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e3) (e0)) = (e2)) ((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 (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2190 826 2206 2512 % 12.77/12.94 2514. ((op (e0) (e3)) = (e2)) (((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 (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)))))))) ((op (e1) (e2)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (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) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 2462 2511 1181 2513 % 12.77/12.94 2515. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (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 (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((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))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((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) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 2499 495 2514 % 12.77/12.94 2516. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.94 2517. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.77/12.94 2518. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((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)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 2517 53 2284 2201 % 12.77/12.94 2519. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.77/12.94 2520. ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ### DisjTree 2516 2518 2519 609 % 12.77/12.94 2521. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (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) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2489 2515 2520 % 12.77/12.94 2522. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.77/12.94 2523. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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 (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e3)) ((e0) != (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (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) (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) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((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)))))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 2505 307 2493 2522 % 12.77/12.94 2524. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (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))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (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) (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) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((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)))))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 2505 2190 537 2523 % 12.77/12.94 2525. ((op (e0) (e3)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (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 (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2434 2511 2485 2513 % 12.77/12.94 2526. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (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 (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2434 2524 618 2525 % 12.77/12.94 2527. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (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) (e1)) != (op (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 (e0) (e3)) != (op (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e3) (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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 35 2526 2520 % 12.77/12.94 2528. ((op (e2) (e0)) = (e0)) ((op (e0) (e3)) = (e2)) (((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 (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (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))))) ((e0) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### DisjTree 2463 2511 149 2513 % 12.77/12.94 2529. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (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 (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2449 2524 495 2528 % 12.77/12.95 2530. ((op (e3) (e1)) != (op (e3) (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))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((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) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 35 2529 2520 % 12.77/12.95 2531. (((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 (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 1117 1931 2368 % 12.77/12.95 2532. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((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))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 2531 2508 % 12.77/12.95 2533. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((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))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 2531 2258 % 12.80/12.95 2534. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (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) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2532 2190 537 2533 % 12.80/12.95 2535. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((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))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 53 2531 2509 % 12.80/12.95 2536. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (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))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ### DisjTree 35 53 2531 546 % 12.80/12.95 2537. ((op (e0) (e1)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (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) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2535 2190 2536 884 % 12.80/12.95 2538. (((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) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((op (e3) (e2)) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (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))))) ((e0) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### DisjTree 2463 2534 495 2537 % 12.80/12.95 2539. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 338 2536 196 % 12.80/12.95 2540. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2461 2539 1181 229 % 12.80/12.95 2541. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2461 2540 618 131 % 12.80/12.95 2542. (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)))))))) ((op (e1) (e2)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (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) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 35 2538 2541 % 12.80/12.95 2543. (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e1) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((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 (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (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 (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((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)) != (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 (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2527 2530 2542 % 12.80/12.95 2544. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/12.95 2545. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((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)))))))) ((op (e1) (e2)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 2521 2543 2544 1837 % 12.80/12.95 2546. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((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)))))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (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) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2545 1425 % 12.80/12.95 2547. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)))))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (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) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### DisjTree 2484 200 618 2487 % 12.80/12.95 2548. (((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) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 127 495 2275 % 12.80/12.95 2549. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((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)))))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (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))))) ((e0) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e3) (e2)) != (e3)) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 2547 2548 2284 % 12.80/12.95 2550. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2465 127 495 2275 % 12.80/12.95 2551. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((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)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 35 2550 2284 % 12.80/12.95 2552. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (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) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((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)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2475 127 495 2275 % 12.80/12.95 2553. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (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) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1072 35 2552 2284 % 12.80/12.95 2554. ((op (e3) (e0)) = (e0)) ((op (e1) (e1)) = (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)))))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (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) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### DisjTree 2484 514 1181 229 % 12.80/12.95 2555. (((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 (e2) (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 (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((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)))))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2551 2553 2554 % 12.80/12.95 2556. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/12.95 2557. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)))))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (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) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 2549 2555 2556 1837 % 12.80/12.95 2558. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((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)))))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (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))))) ((e0) != (e2)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2557 1425 % 12.80/12.95 2559. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((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)))))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ### Or 2546 2558 % 12.80/12.95 2560. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (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))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((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)))))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (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) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2559 2484 % 12.80/12.95 2561. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((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 (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((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)))))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((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)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ### ConjTree 2560 % 12.80/12.95 2562. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.80/12.95 2563. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.80/12.95 2564. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 2195 2563 940 934 % 12.80/12.95 2565. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (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)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 338 978 2564 % 12.80/12.95 2566. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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 (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 2565 581 930 % 12.80/12.96 2567. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 200 581 930 % 12.80/12.96 2568. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.80/12.96 2569. (((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 (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 2568 971 2195 % 12.80/12.96 2570. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/12.96 2571. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (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 (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2569 949 2570 % 12.80/12.96 2572. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 193 1275 1184 783 % 12.80/12.96 2573. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (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 (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2567 2571 2572 2564 % 12.80/12.96 2574. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (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)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2573 200 581 930 % 12.80/12.96 2575. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 140 149 421 % 12.80/12.96 2576. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2575 653 1184 783 % 12.80/12.96 2577. (((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))))) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e3) (e2)) = (e2)) ((e0) != (e1)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 954 641 2576 % 12.80/12.96 2578. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 1791 925 2577 % 12.80/12.96 2579. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((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 (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (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))))) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) = (e2)) ((e0) != (e1)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((e2) != (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 (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 127 2578 940 % 12.80/12.96 2580. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 1837 2579 930 2564 % 12.80/12.96 2581. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((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 (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (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))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e2)) = (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((e2) != (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 (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2580 1117 1972 1018 % 12.80/12.96 2582. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/12.96 2583. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 12.80/12.96 2584. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2582 653 1000 2583 % 12.80/12.96 2585. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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 (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2567 53 2581 2584 % 12.80/12.96 2586. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.80/12.96 2587. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 12.80/12.96 2588. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 12.80/12.96 2589. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 12.80/12.96 2590. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 2587 2588 2589 % 12.80/12.96 2591. (((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 (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 449 2590 421 % 12.80/12.96 2592. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (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) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 1837 2591 930 2564 % 12.80/12.96 2593. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 653 469 609 % 12.80/12.96 2594. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 495 239 824 2593 % 12.80/12.96 2595. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) = (e1)) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) != (op (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 (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2592 2594 1184 783 % 12.80/12.96 2596. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/12.96 2597. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 12.80/12.96 2598. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ### DisjTree 2596 2201 1000 2597 % 12.80/12.96 2599. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 537 562 2598 469 % 12.80/12.96 2600. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 1837 2591 930 934 % 12.80/12.96 2601. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2600 653 1184 783 % 12.80/12.96 2602. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 954 641 2601 % 12.80/12.96 2603. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (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) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e3) (e2)) = (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2595 2599 925 2602 % 12.80/12.96 2604. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (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 (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((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)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2567 53 2603 2584 % 12.80/12.96 2605. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((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)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (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))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (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))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2585 2586 2604 2195 % 12.80/12.96 2606. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 2605 495 930 % 12.80/12.96 2607. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (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) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((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)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (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))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2606 2571 537 2564 % 12.80/12.96 2608. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 2605 338 537 2564 % 12.80/12.96 2609. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2607 2608 495 930 % 12.80/12.96 2610. (((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)) != (op (e2) (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 (e0) (e0)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2571 978 196 % 12.80/12.96 2611. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.80/12.96 2612. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((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)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (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))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 2585 495 930 % 12.80/12.96 2613. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 2590 % 12.80/12.96 2614. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 421 653 1184 783 % 12.80/12.96 2615. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e3) (e2)) = (e2)) ((e0) != (e1)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 954 641 2614 % 12.80/12.96 2616. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 1791 925 2615 % 12.80/12.96 2617. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((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 (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e3) (e2)) = (e2)) ((e0) != (e1)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 2616 2584 % 12.80/12.96 2618. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 449 2613 2617 % 12.80/12.96 2619. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((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 (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e0) != (e1)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 2618 581 131 % 12.80/12.96 2620. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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 (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 2567 2612 2619 % 12.80/12.96 2621. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.80/12.96 2622. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 127 239 940 % 12.80/12.96 2623. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2617 2621 2622 2195 % 12.80/12.96 2624. (((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 (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((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 (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e2)) ((e0) != (e1)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (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) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 449 149 2623 % 12.80/12.96 2625. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((e0) != (e2)) ((op (e2) (e0)) = (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) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e3) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((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)) ((e2) != (e3)) ### DisjTree 181 2624 581 131 % 12.80/12.96 2626. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((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)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (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))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 2567 2606 2625 % 12.80/12.96 2627. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 333 949 396 % 12.80/12.96 2628. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom % 12.80/12.96 2629. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 1117 1865 1018 % 12.80/12.96 2630. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/12.96 2631. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 12.80/12.96 2632. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2630 653 2370 2631 % 12.80/12.96 2633. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e2) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 53 2629 2632 % 12.80/12.96 2634. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((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)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (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))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (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))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2585 2628 2633 2195 % 12.80/12.96 2635. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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 (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2627 2634 581 930 % 12.80/12.96 2636. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 449 2590 229 % 12.80/12.96 2637. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (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)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 2567 2635 2636 % 12.80/12.96 2638. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (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)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (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))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 2620 2626 2637 % 12.80/12.96 2639. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((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 (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2638 609 % 12.80/12.96 2640. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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 (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (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)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e0)) != (op (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e2) (e3)) = (e2)) ### Or 2611 2639 % 12.80/12.96 2641. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.80/12.96 2642. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### Or 2598 609 % 12.80/12.96 2643. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e2) (e3)) = (e2)) ### Or 2641 2642 % 12.80/12.96 2644. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e2) (e3)) = (e2)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e0)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (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 (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2640 2643 % 12.80/12.96 2645. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((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 (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (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)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### DisjTree 2644 338 978 196 % 12.80/12.96 2646. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (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 (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (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 (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2610 2645 581 131 % 12.80/12.97 2647. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((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)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (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 (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (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)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2566 2574 2609 2646 % 12.80/12.97 2648. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (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 (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (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 (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2647 609 % 12.80/12.97 2649. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((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)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (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 (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (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) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ### Or 2562 2648 % 12.80/12.97 2650. ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (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 (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### Or 2649 2643 % 12.80/12.97 2651. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((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)) != (op (e1) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (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 (e1) (e3)) != (op (e3) (e3))) ((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 (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2650 % 12.80/12.97 2652. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/12.97 2653. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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)) ### ConjTree 2652 % 12.80/12.97 2654. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.80/12.97 2655. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e3)) ### Or 2654 783 % 12.80/12.97 2656. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e0)) ### ConjTree 2655 % 12.80/12.97 2657. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.80/12.97 2658. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e3)) ### Or 2657 1425 % 12.80/12.97 2659. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) != (e2)) ((op (e3) (e3)) = (e0)) ### ConjTree 2658 % 12.80/12.97 2660. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (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) (e0)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e2) (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)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (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 (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ### DisjTree 1912 1915 2290 2291 1963 1576 1964 1689 2292 2407 2561 2651 2653 2656 2659 610 % 12.80/12.97 2661. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (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) (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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (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))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (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))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 2660 % 12.80/12.97 2662. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.80/12.97 2663. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### ConjTree 2662 % 12.80/12.97 2664. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.80/12.97 2665. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 2664 % 12.80/12.97 2666. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.80/12.97 2667. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ### ConjTree 2666 % 12.80/12.97 2668. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.80/12.97 2669. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ### ConjTree 2668 % 12.80/12.97 2670. (((op (e0) (e0)) = (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)) = (e2)) ((e0) != (e2)) ### ConjTree 326 % 12.80/12.97 2671. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 12.80/12.97 2672. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ### Or 2671 692 % 12.80/12.97 2673. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) ### ConjTree 2672 % 12.80/12.97 2674. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom % 12.80/12.97 2675. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2676. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ### Or 2674 2675 % 12.80/12.97 2677. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 2676 % 12.80/12.97 2678. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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)) ### ConjTree 1923 % 12.80/12.97 2679. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 541 % 12.80/12.97 2680. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 2676 % 12.80/12.97 2681. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 1443 % 12.80/12.97 2682. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e0)) != (op (e0) (e2))) ### ConjTree 441 % 12.80/12.97 2683. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 12.80/12.97 2684. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ### Or 2683 212 % 12.80/12.97 2685. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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))) ((op (e1) (e2)) = (e1)) ### ConjTree 2684 % 12.80/12.97 2686. (((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)))))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) ### ConjTree 2676 % 12.80/12.97 2687. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.80/12.97 2688. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2689. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/12.97 2690. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) ### DisjTree 2689 333 426 978 % 12.80/12.97 2691. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 2688 2690 940 % 12.80/12.97 2692. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2693. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2694. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e2) (e1)) != (op (e2) (e3))) ### ConjTree 2329 % 12.80/12.97 2695. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.80/12.97 2696. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/12.97 2697. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 602 541 57 1721 % 12.80/12.97 2698. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/12.97 2699. (((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)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (e0)) ### DisjTree 2698 1018 581 978 % 12.80/12.97 2700. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 389 1275 1845 783 % 12.80/12.97 2701. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 12.80/12.97 2702. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 12.80/12.97 2703. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=) % 12.80/12.97 2704. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 2701 2702 2703 % 12.80/12.97 2705. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2700 2704 196 % 12.80/12.97 2706. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (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) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) ### DisjTree 2696 2697 2699 2705 % 12.80/12.97 2707. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (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)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((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 181 1721 949 2706 % 12.80/12.97 2708. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 185 978 2707 % 12.80/12.97 2709. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (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) (e3)) = (e2)) ### Or 2695 2708 % 12.80/12.97 2710. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2711. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 256 743 2710 562 % 12.80/12.97 2712. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 389 106 1184 935 % 12.80/12.97 2713. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e1)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 2690 2709 2711 2712 % 12.80/12.97 2714. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (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) (e3)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 2693 2694 2713 % 12.80/12.97 2715. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 907 2692 2714 940 % 12.80/12.97 2716. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (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 (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((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 (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2691 949 2715 % 12.80/12.97 2717. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2718. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2719. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 2690 2706 925 2712 % 12.80/12.97 2720. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (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))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 2718 2329 2719 % 12.80/12.97 2721. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 907 2717 2720 940 % 12.80/12.97 2722. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (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))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 290 358 2721 % 12.80/12.97 2723. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2716 978 2722 % 12.80/12.97 2724. (((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)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2691 949 389 % 12.80/12.97 2725. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (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 (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e1) (e0))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 541 2723 2724 % 12.80/12.97 2726. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.80/12.97 2727. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.80/12.97 2728. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=) % 12.80/12.97 2729. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 2726 2727 2728 % 12.80/12.97 2730. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2731. (((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 (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ### DisjTree 2729 743 2730 1721 % 12.80/12.97 2732. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2733. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2734. (((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 (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 476 743 1299 1721 % 12.80/12.97 2735. (((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)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 372 824 940 % 12.80/12.97 2736. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) = (e3)) ((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) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 2733 2734 2735 % 12.80/12.97 2737. (((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)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) = (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) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 2732 2690 2736 % 12.80/12.97 2738. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (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 (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 256 2731 2737 % 12.80/12.97 2739. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.97 2740. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e2)) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 389 106 1184 761 % 12.80/12.97 2741. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 2739 2694 2740 % 12.80/12.97 2742. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (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 (e3) (e2)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2738 358 2741 % 12.80/12.97 2743. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (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 (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e2)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2742 978 196 % 12.80/12.97 2744. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2591 2738 949 389 % 12.80/12.97 2745. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (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 (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2591 2744 193 196 % 12.80/12.97 2746. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (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 (e3) (e2)) = (e2)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 541 2743 2745 % 12.80/12.98 2747. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((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))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (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 (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2725 2704 2746 % 12.80/12.98 2748. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 541 437 2724 % 12.80/12.98 2749. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 333 949 389 % 12.80/12.98 2750. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 541 437 2749 % 12.80/12.98 2751. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 541 437 2745 % 12.80/12.98 2752. (((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))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (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 (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2748 2750 2751 % 12.80/12.98 2753. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2691 358 396 % 12.80/12.98 2754. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 541 2753 262 % 12.80/12.98 2755. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e1) (e0))) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (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)) != (op (e0) (e1))) ### DisjTree 16 2747 2752 2754 % 12.80/12.98 2756. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/12.98 2757. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/12.98 2758. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((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))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (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 (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 326 2755 2756 2757 % 12.80/12.98 2759. ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e1) (e0))) ((op (e1) (e1)) != (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 (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ### Or 2687 2758 % 12.80/12.98 2760. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((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))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (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 (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### Or 2759 181 % 12.80/12.98 2761. ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e1) (e0))) ((op (e1) (e1)) != (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 (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2760 % 12.80/12.98 2762. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 12.80/12.98 2763. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ### Or 2762 2705 % 12.80/12.98 2764. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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 (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### ConjTree 2763 % 12.80/12.98 2765. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.80/12.98 2766. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.80/12.98 2767. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/12.98 2768. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 1108 2731 1588 % 12.80/12.98 2769. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((op (e0) (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) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2768 358 1113 % 12.80/12.98 2770. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((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) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 541 2769 756 % 12.80/12.98 2771. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((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)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 2770 757 1803 % 12.80/12.98 2772. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((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) (e1)) != (op (e1) (e2))) ((op (e1) (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 (e2) (e1)) != (e2)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 326 2766 2767 2771 % 12.80/12.98 2773. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((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)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (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 (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ### Or 2765 2772 % 12.80/12.98 2774. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (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) (e1)) != (op (e1) (e2))) ((op (e1) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### Or 2773 212 % 12.80/12.98 2775. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((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)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) != (e3)) ((e0) != (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) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (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 (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### Or 2774 692 % 12.80/12.98 2776. ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (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) (e1)) != (op (e1) (e2))) ((op (e1) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e0)) != (op (e3) (e1))) (((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) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((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)) = (e2)) ((e0) != (e2)) ### ConjTree 2775 % 12.80/12.98 2777. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 2676 % 12.80/12.98 2778. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 290 358 661 % 12.80/12.98 2779. (((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) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 185 2711 572 % 12.80/12.98 2780. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2779 193 595 % 12.80/12.98 2781. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((e1) != (e3)) (((op (e3) (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 (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 541 2778 2780 % 12.80/12.98 2782. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.98 2783. (((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 (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 476 743 2782 120 % 12.80/12.98 2784. (((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) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (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 (e1) (e3)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 246 2783 567 % 12.80/12.98 2785. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.98 2786. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/12.98 2787. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 602 541 57 333 % 12.80/12.98 2788. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ### DisjTree 2786 2787 618 193 % 12.80/12.98 2789. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.80/12.98 2790. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 372 2788 2789 % 12.80/12.98 2791. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e2) (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 (e1) (e0)) = (e3)) ((e2) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2784 2785 2734 2790 % 12.80/12.98 2792. (((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) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (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) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 611 256 2731 2791 % 12.80/12.98 2793. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.98 2794. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/12.98 2795. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/12.98 2796. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ### DisjTree 2795 2787 581 193 % 12.80/12.98 2797. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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 (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e3)) != (e0)) ### DisjTree 2794 2796 606 610 % 12.80/12.98 2798. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 239 1678 2797 % 12.80/12.98 2799. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/12.98 2800. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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 (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e3)) != (e0)) ### DisjTree 2799 2788 606 610 % 12.80/12.98 2801. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.80/12.98 2802. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 675 372 2800 2801 % 12.80/12.98 2803. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((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 (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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 (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 2793 2798 2802 % 12.80/12.98 2804. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.80/12.98 2805. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 1928 2800 2804 % 12.80/12.98 2806. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (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) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2803 743 2805 204 % 12.80/12.98 2807. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.80/12.98 2808. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 675 372 2788 2807 % 12.80/12.98 2809. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((op (e3) (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) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 421 2808 2796 1748 % 12.80/12.98 2810. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((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 (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 611 256 2806 2809 % 12.80/12.98 2811. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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 (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2792 2810 389 % 12.80/12.98 2812. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((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) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (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 (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 541 437 2811 % 12.80/12.98 2813. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.98 2814. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e3) (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) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 262 106 1845 1034 % 12.80/12.98 2815. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 2813 2734 2814 % 12.80/12.98 2816. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.98 2817. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2784 2816 2734 106 % 12.80/12.98 2818. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((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 (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e3) (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) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2815 743 747 2817 % 12.80/12.98 2819. (((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))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (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 (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 256 2731 2818 % 12.80/12.98 2820. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) (((op (e3) (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) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2819 358 396 % 12.80/12.98 2821. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (((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))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (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 (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (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 (e0) (e1)) != (op (e1) (e1))) ((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))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 541 2820 262 % 12.80/12.98 2822. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ((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 (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (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))))) ((e1) != (e2)) ((op (e0) (e0)) = (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)) != (op (e3) (e3))) (((op (e3) (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)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2781 2812 2821 % 12.80/12.98 2823. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/12.98 2824. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/12.98 2825. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (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)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (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 (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e1) (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))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 326 2822 2823 2824 % 12.80/12.98 2826. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.98 2827. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.98 2828. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/12.98 2829. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (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 (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (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) (e3)) != (e0)) ### DisjTree 2828 2734 2699 610 % 12.80/12.98 2830. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (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 (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 239 1678 2829 % 12.80/12.98 2831. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((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) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (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) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((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) (e3)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 2827 2830 2735 % 12.80/12.99 2832. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (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 (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (e0)) (((op (e3) (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) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 57 2826 239 2831 % 12.80/12.99 2833. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) = (e3)) ((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)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 256 2832 2737 % 12.80/12.99 2834. (((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)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((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))))) ((op (e0) (e1)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (e0)) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2833 358 661 % 12.80/12.99 2835. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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))) ((e0) != (e3)) ((e1) != (e3)) ((op (e2) (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)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2834 978 595 % 12.80/12.99 2836. (((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)) != (op (e2) (e2))) ((e0) != (e3)) ((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))))) ((op (e0) (e1)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (e0)) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2833 949 389 % 12.80/12.99 2837. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (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))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 2836 193 595 % 12.80/12.99 2838. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (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))) ((e1) != (e3)) ((e0) != (e3)) ((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))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (e0)) (((op (e3) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 541 2835 2837 % 12.80/12.99 2839. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/12.99 2840. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/12.99 2841. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (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) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (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))))) ((e2) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 326 2838 2839 2840 % 12.80/12.99 2842. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ((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 (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (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))))) ((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)) != (op (e3) (e3))) (((op (e3) (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)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 2825 2841 % 12.80/12.99 2843. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (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 (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (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)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e1) (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))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ### Or 2842 181 % 12.80/12.99 2844. ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (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)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (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))))) ((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)) != (op (e3) (e3))) (((op (e3) (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)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2843 % 12.80/12.99 2845. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (e0)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (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))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (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 (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((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 (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ### DisjTree 2670 2673 2677 2678 2679 1416 2680 2681 2682 2685 2686 2761 2764 2776 2777 2844 % 12.80/12.99 2846. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 2845 % 12.80/12.99 2847. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.80/12.99 2848. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ### ConjTree 2847 % 12.80/12.99 2849. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.80/12.99 2850. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 2849 % 12.80/12.99 2851. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.80/12.99 2852. (((op (e0) (e0)) = (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)) = (e3)) ((e0) != (e3)) ### ConjTree 1983 % 12.80/12.99 2853. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/12.99 2854. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.80/12.99 2855. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ### DisjTree 2853 1131 2854 584 % 12.80/12.99 2856. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1042 2729 157 96 % 12.80/12.99 2857. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 476 1448 383 934 % 12.80/12.99 2858. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 2856 1443 2857 916 % 12.80/12.99 2859. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 981 476 2858 1425 % 12.80/12.99 2860. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/12.99 2861. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.80/12.99 2862. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ### DisjTree 2860 1126 2861 584 % 12.80/12.99 2863. (((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)) != (op (e3) (e1))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2855 1721 2862 653 % 12.80/12.99 2864. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 743 747 2863 % 12.80/12.99 2865. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.99 2866. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.80/12.99 2867. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 12.80/12.99 2868. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=) % 12.80/12.99 2869. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 2866 2867 2868 % 12.80/12.99 2870. (((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 (e1) (e2)) = (e0)) ((op (e0) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 2869 743 346 1721 % 12.80/12.99 2871. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.99 2872. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2857 743 2871 2201 % 12.80/12.99 2873. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ### DisjTree 96 1443 2872 756 % 12.80/12.99 2874. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 421 372 581 1425 % 12.80/12.99 2875. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 262 1193 2873 2874 % 12.80/12.99 2876. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((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)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 2875 653 1845 916 % 12.80/12.99 2877. (((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))))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (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))))) ### DisjTree 2870 1721 1414 2876 % 12.80/12.99 2878. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/12.99 2879. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.80/12.99 2880. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2878 1104 2879 584 % 12.80/12.99 2881. (((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) (e2)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2864 2865 2877 2880 % 12.80/12.99 2882. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2855 1721 2862 1193 % 12.80/12.99 2883. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2729 2881 2882 % 12.80/12.99 2884. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.99 2885. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 2884 2734 2880 % 12.80/12.99 2886. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 2859 2883 2885 % 12.80/12.99 2887. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/12.99 2888. (((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 (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 2886 358 2887 % 12.80/12.99 2889. (((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 (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 2855 454 2888 % 12.80/12.99 2890. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (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) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (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 (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 2889 321 % 12.80/12.99 2891. (((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)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 743 1117 204 % 12.80/12.99 2892. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.99 2893. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((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)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (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))))) ### DisjTree 2870 1721 1414 2875 % 12.80/12.99 2894. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((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 (e1) (e2)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2891 2892 2893 2880 % 12.80/12.99 2895. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((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))) ((e0) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2859 2894 2882 % 12.80/12.99 2896. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.99 2897. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2891 2896 2734 2880 % 12.80/12.99 2898. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((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 (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 476 2897 2882 % 12.80/12.99 2899. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((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))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1444 2859 2895 2898 % 12.80/12.99 2900. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.99 2901. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (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 358 1928 212 2857 % 12.80/12.99 2902. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (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)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 2900 2901 2880 % 12.80/12.99 2903. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.99 2904. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.80/12.99 2905. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (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)) = (e2)) ((e2) != (e3)) ### DisjTree 454 562 949 2904 % 12.80/12.99 2906. (((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)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 358 1928 212 2872 % 12.80/12.99 2907. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (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 (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) ((op (e3) (e2)) != (e3)) (((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 (e1) (e2))) ((op (e1) (e2)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (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))))) ### DisjTree 2870 2905 1414 2906 % 12.80/12.99 2908. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (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 (e2) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2855 562 1414 2906 % 12.80/12.99 2909. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) = (e0)) ((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)) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (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)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2907 2905 2908 934 % 12.80/12.99 2910. (((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)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (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))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) ((op (e3) (e2)) != (e3)) (((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 (e1) (e2))) ((op (e1) (e2)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (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 (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 2903 2909 2880 % 12.80/12.99 2911. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/12.99 2912. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2855 562 1414 1193 % 12.80/12.99 2913. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (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 (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2882 2905 2912 934 % 12.80/13.00 2914. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 2911 2913 2880 % 12.80/13.00 2915. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2902 2910 2914 % 12.80/13.00 2916. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 2855 454 2859 % 12.80/13.00 2917. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 2916 321 % 12.80/13.00 2918. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 338 537 2859 % 12.80/13.00 2919. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 2918 495 321 % 12.80/13.00 2920. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 1756 476 157 1425 % 12.80/13.00 2921. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1042 2729 2920 96 % 12.80/13.00 2922. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)))))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (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)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 2917 2919 2921 % 12.80/13.00 2923. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (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 (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (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 (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 2922 1425 % 12.80/13.00 2924. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.00 2925. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (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)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (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))))) ### DisjTree 2734 2905 2908 711 % 12.80/13.00 2926. (((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) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (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) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2891 2924 2925 2880 % 12.80/13.00 2927. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 1721 641 1193 % 12.80/13.00 2928. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2855 562 641 1193 % 12.80/13.00 2929. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2927 246 2928 711 % 12.80/13.00 2930. (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 743 2929 204 % 12.80/13.00 2931. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.00 2932. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (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))))) ### DisjTree 2734 2905 2912 711 % 12.80/13.00 2933. (((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 (e1) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (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 (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2930 2931 2932 2880 % 12.80/13.00 2934. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((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 (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)))))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (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 (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2923 2926 2933 % 12.80/13.00 2935. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (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 (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 (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((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 (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (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 (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (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) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1444 2902 2915 2934 % 12.80/13.00 2936. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/13.00 2937. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (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))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((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))) ((e0) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 2899 2935 2936 % 12.80/13.00 2938. ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (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 (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) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 2855 454 2937 % 12.80/13.00 2939. ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (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) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 200 2938 321 % 12.80/13.00 2940. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (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) (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 (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 2851 2890 2939 % 12.80/13.00 2941. (((op (e0) (e0)) = (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)) ((e0) != (e1)) ### ConjTree 1403 % 12.80/13.00 2942. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.80/13.00 2943. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/13.00 2944. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 2864 358 2943 % 12.80/13.00 2945. (((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 (e0) (e0)) = (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) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 2944 495 321 % 12.80/13.00 2946. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.80/13.00 2947. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 495 239 1678 144 % 12.80/13.00 2948. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (e2)) ### DisjTree 2946 2947 826 377 % 12.80/13.00 2949. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2234 954 641 1193 % 12.80/13.00 2950. (((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) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2927 2948 2928 2949 % 12.80/13.00 2951. (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 743 2950 204 % 12.80/13.00 2952. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (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) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (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)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2919 2891 2951 % 12.80/13.00 2953. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 476 2891 2930 % 12.80/13.00 2954. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e0) (e1))) (((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))) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (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) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((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)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1444 2919 2952 2953 % 12.80/13.00 2955. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 338 537 2954 % 12.80/13.00 2956. ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e0) (e1))) (((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))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 2955 495 321 % 12.80/13.00 2957. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((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 (e3) (e3))) ((op (e1) (e2)) != (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e0) (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 (e1) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2941 2942 2945 2956 % 12.80/13.00 2958. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.80/13.00 2959. (((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)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2855 1705 2862 653 % 12.80/13.00 2960. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (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)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 743 1117 2959 % 12.80/13.00 2961. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (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)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 743 2927 2959 % 12.80/13.00 2962. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) = (e1)) ((op (e3) (e0)) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)))))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (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 (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2923 2960 2961 % 12.80/13.00 2963. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/13.00 2964. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (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))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (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 (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 2962 358 2963 % 12.80/13.00 2965. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.80/13.00 2966. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)))))))) ((e1) != (e3)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (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 (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 2964 2965 303 % 12.80/13.00 2967. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 2855 454 196 % 12.80/13.00 2968. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.00 2969. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 2968 426 383 % 12.80/13.00 2970. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.00 2971. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 2970 1697 2880 % 12.80/13.00 2972. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 2969 2971 454 196 % 12.80/13.00 2973. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (((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)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 2967 2972 303 % 12.80/13.00 2974. ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (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))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (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 (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 2966 2973 321 % 12.80/13.00 2975. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2927 1705 2928 2949 % 12.80/13.00 2976. (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 743 2975 204 % 12.80/13.00 2977. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (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 (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)))))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (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 (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2923 2891 2976 % 12.80/13.00 2978. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (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)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 2967 2972 421 % 12.80/13.00 2979. (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (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))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 2977 2978 131 % 12.80/13.00 2980. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (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)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)))))))) ((e1) != (e3)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 2958 2974 2979 % 12.80/13.00 2981. ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (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) (e0)) = (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) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (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 (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((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)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 2940 2957 2980 % 12.80/13.01 2982. ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (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) (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 (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ### Or 2981 1425 % 12.80/13.01 2983. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.80/13.01 2984. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (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 (e0) (e3))) ### DisjTree 1756 2734 157 1481 % 12.80/13.01 2985. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (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 (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 797 2984 1931 377 % 12.80/13.01 2986. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 476 1360 2985 % 12.80/13.01 2987. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 2859 1865 2986 % 12.80/13.01 2988. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/13.01 2989. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 2987 358 2988 % 12.80/13.01 2990. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 2855 454 2989 % 12.80/13.01 2991. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 2990 321 % 12.80/13.01 2992. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.01 2993. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (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 (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 2930 2992 2984 2880 % 12.80/13.01 2994. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 476 1360 2993 % 12.80/13.01 2995. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (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 (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((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)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((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)) = (e3)) ((e0) != (e3)) ### DisjTree 290 2917 1865 2994 % 12.80/13.01 2996. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (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 (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 (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 476 1360 2933 % 12.80/13.01 2997. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (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) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((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)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (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) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1444 2902 1865 2996 % 12.80/13.01 2998. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/13.01 2999. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (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 (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) != (op (e3) (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) (e0)) != (op (e0) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 2995 2997 2998 % 12.80/13.01 3000. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (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 (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((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)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((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 (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 2855 454 2999 % 12.80/13.01 3001. ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e3) (e1)) != (op (e3) (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) (e0)) != (op (e0) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 200 3000 321 % 12.80/13.01 3002. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((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)) ((e0) != (e1)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2941 2983 2991 3001 % 12.80/13.01 3003. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.80/13.01 3004. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 338 537 2989 % 12.80/13.01 3005. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 3004 495 321 % 12.80/13.01 3006. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((e0) != (e3)) (((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)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 476 1360 2930 % 12.80/13.01 3007. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1444 2859 1865 3006 % 12.80/13.01 3008. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (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) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (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))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 338 537 3007 % 12.80/13.01 3009. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 3008 495 321 % 12.80/13.01 3010. (((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 (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)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((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 (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 3003 3005 3009 % 12.80/13.01 3011. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.80/13.01 3012. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.80/13.01 3013. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 12.80/13.01 3014. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 12.80/13.01 3015. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 3012 3013 3014 % 12.80/13.01 3016. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 3015 545 144 354 % 12.80/13.01 3017. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 743 2929 3016 % 12.80/13.01 3018. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 476 1360 3017 % 12.80/13.01 3019. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)))))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((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)) = (e0)) ((e0) != (e1)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 2923 1865 3018 % 12.80/13.01 3020. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.80/13.01 3021. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e0) != (e3)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (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 (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (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 (e0) (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) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 3019 358 3020 % 12.80/13.01 3022. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)))))))) ((e1) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((e0) != (e3)) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 449 338 3021 196 % 12.80/13.01 3023. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e1)) ((e0) != (e3)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (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 (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (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 (e0) (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) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 3022 797 303 % 12.80/13.01 3024. ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (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) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)))))))) ((e1) != (e3)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((e0) != (e3)) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 3023 2973 321 % 12.80/13.01 3025. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((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)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 1136 1360 2976 % 12.80/13.01 3026. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (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 (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (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) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 3025 2923 1865 3018 % 12.80/13.01 3027. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) (((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)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (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 (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 2855 3026 196 % 12.80/13.01 3028. (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (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)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 3027 2978 131 % 12.80/13.01 3029. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((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) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (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) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2941 3011 3024 3028 % 12.80/13.01 3030. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (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))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((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 (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 2941 3002 3010 3029 % 12.80/13.02 3031. (((op (e0) (e0)) = (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 (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (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) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ### Or 3030 1425 % 12.80/13.02 3032. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((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 (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (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) (e0)) = (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) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((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 (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((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)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### Or 2982 3031 % 12.80/13.02 3033. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (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) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (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 (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ### Or 3032 2923 % 12.80/13.02 3034. ((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 (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (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) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((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 (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (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 (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((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)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ### ConjTree 3033 % 12.80/13.02 3035. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 12.80/13.02 3036. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 1136 % 12.80/13.02 3037. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.80/13.02 3038. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.02 3039. (((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 (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 3036 3037 3038 120 % 12.80/13.02 3040. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.80/13.02 3041. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e1) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 954 3039 3040 % 12.80/13.02 3042. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 1588 1448 383 3041 % 12.80/13.02 3043. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) != (op (e1) (e1))) ((op (e1) (e1)) != (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))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1705 1443 3042 751 % 12.80/13.02 3044. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((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 (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 3043 602 1706 1425 % 12.80/13.02 3045. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) != (op (e1) (e1))) ((op (e1) (e1)) != (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))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 389 3044 1845 916 % 12.80/13.02 3046. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.80/13.02 3047. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) != (op (e1) (e1))) ((op (e1) (e1)) != (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 (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 3039 3046 % 12.80/13.02 3048. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((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 (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 3045 3047 3041 % 12.80/13.02 3049. (((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))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) != (op (e1) (e1))) ((op (e1) (e1)) != (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))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 290 1411 3048 % 12.80/13.02 3050. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.02 3051. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.80/13.02 3052. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 670 106 1845 916 % 12.80/13.02 3053. (((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)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 3050 3051 3052 % 12.80/13.02 3054. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e1)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((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 (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ### DisjTree 2672 3049 3053 321 % 12.80/13.02 3055. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (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 (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) != (op (e1) (e1))) ((op (e1) (e1)) != (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))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 3054 916 % 12.80/13.02 3056. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((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 (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### Or 3055 212 % 12.80/13.02 3057. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (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 (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) != (op (e1) (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))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### Or 3056 743 % 12.80/13.02 3058. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e2)) = (e1)) ((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 (e1) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e1)) = (e0)) ### Or 3035 3057 % 12.80/13.02 3059. ((e1) != (e2)) (((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 (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) != (op (e1) (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))))) ((e2) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ### ConjTree 3058 % 12.80/13.02 3060. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom % 12.80/13.02 3061. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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)) ### ConjTree 1919 % 12.80/13.02 3062. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.02 3063. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 229 372 581 916 % 12.80/13.02 3064. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 2678 200 3063 1780 % 12.80/13.02 3065. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (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 262 1275 1845 3064 % 12.80/13.02 3066. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 200 618 902 % 12.80/13.02 3067. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 797 372 3066 377 % 12.80/13.02 3068. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 3062 3065 3067 % 12.80/13.02 3069. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 3061 541 3068 262 % 12.80/13.02 3070. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) ((e0) != (e3)) ### ConjTree 396 % 12.80/13.02 3071. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.80/13.02 3072. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 12.80/13.02 3073. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) /\ ((((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 3070 653 3071 3072 % 12.80/13.02 3074. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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) (e2))) ((op (e1) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 3069 743 747 3073 % 12.80/13.02 3075. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 541 3074 262 % 12.80/13.02 3076. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e1) != (e3)) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ### DisjTree 1919 3069 3075 1803 % 12.80/13.02 3077. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 3076 584 % 12.80/13.02 3078. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e2)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) = (e0)) ### Or 3060 3077 % 12.80/13.02 3079. ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (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 (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 3078 % 12.80/13.02 3080. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.02 3081. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 1697 % 12.80/13.02 3082. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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)) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 3080 3081 2880 % 12.80/13.02 3083. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.02 3084. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 3083 1928 2880 % 12.80/13.02 3085. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom % 12.80/13.02 3086. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 3085 1697 106 % 12.80/13.02 3087. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 3082 743 3084 3086 % 12.80/13.02 3088. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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)) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### Or 3087 1425 % 12.80/13.02 3089. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ### ConjTree 3088 % 12.80/13.02 3090. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e1)) != (op (e3) (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))) ### DisjTree 3034 3059 2677 3079 2679 1416 2680 2681 3089 2685 2686 1739 1742 1745 1747 1748 % 12.80/13.02 3091. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((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 (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((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 (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (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 (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (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 (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 3090 % 12.80/13.02 3092. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 12.80/13.02 3093. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ### Or 3092 464 % 12.80/13.02 3094. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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) != (e3)) ((op (e0) (e0)) = (e3)) ### ConjTree 3093 % 12.80/13.02 3095. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 12.80/13.02 3096. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.80/13.02 3097. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) = (e1)) ### Or 3095 3096 % 12.80/13.02 3098. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 3097 % 12.80/13.02 3099. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 1688 % 12.80/13.02 3100. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 1443 % 12.80/13.02 3101. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 3097 % 12.80/13.02 3102. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 12.80/13.02 3103. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.80/13.02 3104. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/13.02 3105. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.80/13.02 3106. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.80/13.02 3107. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.80/13.02 3108. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 256 1470 514 3107 % 12.80/13.02 3109. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 421 844 1184 1425 % 12.80/13.02 3110. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1443 41 3109 % 12.80/13.02 3111. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 797 3110 274 1448 % 12.80/13.02 3112. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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 (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 3108 3111 426 2212 % 12.80/13.02 3113. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((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 (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3106 797 3112 % 12.80/13.02 3114. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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 (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3113 495 216 % 12.80/13.02 3115. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/13.02 3116. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((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 (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e0)) ### DisjTree 3105 3114 1466 3115 % 12.80/13.03 3117. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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 (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ### DisjTree 3104 602 157 3116 % 12.80/13.03 3118. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.80/13.03 3119. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3118 797 262 % 12.80/13.03 3120. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (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 (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) ### DisjTree 3103 3117 149 3119 % 12.80/13.03 3121. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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 (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) = (e2)) ### Or 3102 3120 % 12.80/13.03 3122. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 12.80/13.03 3123. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.80/13.03 3124. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/13.03 3125. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 3123 256 1466 3124 % 12.80/13.03 3126. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) ### Or 3122 3125 % 12.80/13.03 3127. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (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 (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e0)) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ### Or 3121 3126 % 12.80/13.03 3128. (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((e0) != (e3)) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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 (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ### Or 3127 1983 % 12.80/13.03 3129. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (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 (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ### ConjTree 3128 % 12.80/13.03 3130. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 12.80/13.03 3131. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 1697 % 12.80/13.03 3132. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 140 3131 421 % 12.80/13.03 3133. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1688 178 3132 % 12.80/13.03 3134. (((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 (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3133 48 216 % 12.80/13.03 3135. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ### Or 3130 3134 % 12.80/13.03 3136. (((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 (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### ConjTree 3135 % 12.80/13.03 3137. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((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)))))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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)) = (e3)) ((e2) != (e3)) ### DisjTree 181 3108 2485 421 % 12.80/13.03 3138. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((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 (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) (((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)))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1688 3066 3137 % 12.80/13.03 3139. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 236 1524 653 % 12.80/13.03 3140. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.80/13.03 3141. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 3139 1470 127 3140 % 12.80/13.03 3142. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e2) != (e3)) ((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 (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 1470 747 3141 % 12.80/13.03 3143. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 906 1788 873 % 12.80/13.03 3144. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.80/13.03 3145. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/13.03 3146. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ### DisjTree 3145 216 1270 595 % 12.80/13.03 3147. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e1)) ((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))))) ### DisjTree 3143 653 3144 3146 % 12.80/13.03 3148. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((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) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e3) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) = (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 902 3147 1458 303 % 12.80/13.03 3149. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 1470 747 3148 % 12.80/13.03 3150. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (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))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 3142 797 3149 % 12.80/13.03 3151. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((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 (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (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 (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 3150 495 902 % 12.80/13.03 3152. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((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)))))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (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)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1688 3151 3137 % 12.80/13.03 3153. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (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 (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((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)))))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3138 3152 216 % 12.80/13.03 3154. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/13.03 3155. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/13.03 3156. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((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 (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((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)))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 3153 3154 3155 % 12.80/13.03 3157. (((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 (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) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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)) = (e3)) ((e2) != (e3)) ### DisjTree 181 3108 2485 303 % 12.80/13.03 3158. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/13.03 3159. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.80/13.03 3160. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) (((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 (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((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)))))))) ((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)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 3157 3158 3159 % 12.80/13.03 3161. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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 (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((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)))))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 3156 3160 % 12.80/13.03 3162. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((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 (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((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)))))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 3161 181 % 12.80/13.03 3163. ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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 (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((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)))))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 3162 % 12.80/13.03 3164. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 3097 % 12.80/13.03 3165. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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 (e0) (e0)) != (op (e3) (e0))) ### ConjTree 873 % 12.80/13.03 3166. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ### ConjTree 1097 % 12.80/13.03 3167. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.80/13.03 3168. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/13.03 3169. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 3168 739 441 354 % 12.80/13.03 3170. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.80/13.03 3171. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 3170 178 363 % 12.80/13.03 3172. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 1443 41 363 % 12.80/13.03 3173. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 3171 3172 427 1448 % 12.80/13.03 3174. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 3169 200 3173 321 % 12.80/13.03 3175. (((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))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (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))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 359 3142 797 303 % 12.80/13.03 3176. (((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)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (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))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 359 3175 3171 321 % 12.80/13.03 3177. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.80/13.03 3178. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.80/13.03 3179. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 12.80/13.03 3180. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=) % 12.80/13.03 3181. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq-sym 3178 3179 3180 % 12.80/13.03 3182. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 3181 % 12.80/13.03 3183. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (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)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 3177 641 3182 % 12.80/13.03 3184. (((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))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1470 3183 204 % 12.80/13.03 3185. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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 (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e1) (e1)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (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))))) ### DisjTree 334 3184 495 321 % 12.80/13.03 3186. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((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))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (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) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1688 3176 3185 % 12.80/13.03 3187. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ((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 (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e2) (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3174 3186 216 % 12.80/13.03 3188. (((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)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 514 797 303 % 12.80/13.03 3189. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e1)) ((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) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### DisjTree 500 200 3188 321 % 12.80/13.03 3190. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.80/13.03 3191. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.80/13.03 3192. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 3191 65 1360 508 % 12.80/13.03 3193. (((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)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 797 3172 68 1448 % 12.80/13.03 3194. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 1432 216 321 934 % 12.80/13.03 3195. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (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) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((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)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 515 3192 3193 3194 % 12.80/13.03 3196. (((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 (e3) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((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 (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 (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 3190 311 3195 % 12.80/13.03 3197. ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (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) (e2)) != (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 514 3196 421 % 12.91/13.03 3198. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (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 (e3) (e0)) = (e1)) ((e1) != (e2)) ((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 (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 3169 127 3197 321 % 12.91/13.03 3199. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (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) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e1) != (e2)) (((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 (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1688 3189 3198 % 12.91/13.03 3200. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((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))))) ((e1) != (e2)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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 (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3199 496 216 % 12.91/13.03 3201. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 3169 200 515 321 % 12.91/13.03 3202. 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(((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3202 496 216 % 12.91/13.03 3204. 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(((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1688 3204 262 % 12.91/13.03 3206. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (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) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3205 496 216 % 12.91/13.03 3207. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (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) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) ((e1) != (e2)) (((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 (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 3200 3203 3206 % 12.91/13.03 3208. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.91/13.03 3209. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.91/13.03 3210. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ### DisjTree 2729 1470 1299 3209 % 12.91/13.03 3211. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (e0)) ### DisjTree 3208 3210 788 508 % 12.91/13.03 3212. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((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))))) ((e1) != (e2)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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 (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 3207 3211 378 % 12.91/13.03 3213. ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (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) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e3)) (((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 (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (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 (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 200 3212 321 % 12.91/13.03 3214. (((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) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1)) != (op (e3) (e2))) (((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)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1688 437 3185 % 12.91/13.03 3215. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((op (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) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((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 (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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 (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3213 3214 216 % 12.91/13.04 3216. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 364 200 3171 321 % 12.91/13.04 3217. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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))))) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1688 3216 262 % 12.91/13.04 3218. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (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))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 359 3142 797 229 % 12.91/13.04 3219. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 359 3218 495 321 % 12.91/13.04 3220. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (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)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1688 3219 262 % 12.91/13.04 3221. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3217 3220 216 % 12.91/13.04 3222. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (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 (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 3187 3215 3221 % 12.91/13.04 3223. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.91/13.04 3224. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.91/13.04 3225. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ((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 (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (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 (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 3222 3223 3224 % 12.91/13.04 3226. ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ### Or 3167 3225 % 12.91/13.04 3227. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.91/13.04 3228. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 3169 200 618 321 % 12.91/13.04 3229. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3228 3186 216 % 12.91/13.04 3230. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e2)) = (e3)) ### Or 3227 3229 % 12.91/13.04 3231. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ((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 (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((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))))) ((e1) != (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) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### Or 3226 3230 % 12.91/13.04 3232. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.91/13.04 3233. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.91/13.04 3234. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.91/13.04 3235. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((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))))) ((e1) != (e2)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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 (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 3207 3233 3234 % 12.91/13.04 3236. ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (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) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ### Or 3232 3235 % 12.91/13.04 3237. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.91/13.04 3238. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 3169 127 618 321 % 12.91/13.04 3239. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 3238 496 216 % 12.91/13.04 3240. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e2)) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (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) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e2)) = (e3)) ### Or 3237 3239 % 12.91/13.04 3241. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((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 (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### Or 3236 3240 % 12.91/13.04 3242. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 3231 3241 % 12.91/13.04 3243. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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)) != (op (e3) (e2))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((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 (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (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 (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (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) (e3)) != (op (e3) (e3))) (((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 (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### Or 3242 181 % 12.91/13.04 3244. ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((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 (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ### ConjTree 3243 % 12.91/13.04 3245. (((op (e3) (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) (e3)) = (e1)) ((op (e1) (e1)) != (e3)) ### ConjTree 3097 % 12.91/13.04 3246. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((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 (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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (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) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (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) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (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)) != (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 (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ### DisjTree 2852 3094 2222 3098 3099 1471 3100 3101 3129 3136 3163 3164 3165 3166 3244 3245 % 12.91/13.04 3247. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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 (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((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 (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 3246 % 12.91/13.04 3248. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.91/13.04 3249. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ### ConjTree 3248 % 12.91/13.04 3250. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.91/13.04 3251. (((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) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ### DisjTree 2729 1443 426 925 % 12.91/13.04 3252. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ### DisjTree 2729 1443 140 925 % 12.91/13.04 3253. ((e3) != (op (e1) (op (e1) (e1)))) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 1518 88 % 12.91/13.04 3254. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=) % 12.91/13.04 3255. ((op (e1) (op (e1) (e1))) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans 1518 88 % 12.91/13.04 3256. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e3)) ### NotEqual 3255 76 % 12.91/13.04 3257. ((e2) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 3256 60 % 12.91/13.04 3258. (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e3)) ### DisjTree 3253 3254 3257 % 12.91/13.04 3259. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 852 1928 3258 % 12.91/13.04 3260. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.04 3261. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.91/13.04 3262. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) ### DisjTree 3260 1928 824 3261 % 12.91/13.04 3263. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 1470 3262 3139 % 12.91/13.04 3264. (((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)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 437 1928 268 1448 % 12.91/13.04 3265. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 3264 2869 1851 1018 % 12.91/13.04 3266. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 3263 514 3265 3258 % 12.91/13.04 3267. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) (((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)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 102 3265 106 % 12.91/13.04 3268. (((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)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e1)) = (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 3266 852 3267 1270 % 12.91/13.04 3269. (((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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (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))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e0) != (e2)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1493 3259 3268 % 12.91/13.04 3270. (((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)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1042 3269 426 978 % 12.91/13.04 3271. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (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))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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))))) ### DisjTree 3252 852 3270 1270 % 12.91/13.04 3272. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.91/13.04 3273. (((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 (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3271 358 3272 % 12.91/13.04 3274. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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 (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) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3273 978 884 % 12.91/13.04 3275. (((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 (e1) (e0)) != (op (e1) (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) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (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 (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 3251 3274 % 12.91/13.04 3276. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.04 3277. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 3252 3276 421 % 12.91/13.04 3278. (((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))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((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) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2941 1688 3275 3277 % 12.91/13.04 3279. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.91/13.04 3280. (((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)) = (e3)) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 437 641 268 1448 % 12.91/13.04 3281. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 3280 2869 1851 1018 % 12.91/13.04 3282. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) (((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)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 3279 3281 653 % 12.91/13.04 3283. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1470 747 3282 % 12.91/13.05 3284. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.91/13.05 3285. (((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) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3269 358 3284 % 12.91/13.05 3286. (((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 (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (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))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((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) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3285 537 884 % 12.91/13.05 3287. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (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)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (e2)) ((op (e2) (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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((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)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 3283 495 3286 % 12.91/13.05 3288. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.05 3289. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2749 3263 3288 421 % 12.91/13.05 3290. (((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))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e0) != (e2)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1493 3259 204 % 12.91/13.05 3291. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3290 949 389 % 12.91/13.05 3292. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) (((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))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3291 537 884 % 12.91/13.05 3293. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2749 3289 495 3292 % 12.91/13.05 3294. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (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)) = (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 (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((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) (e0)) != (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (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)) = (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)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1688 3287 3293 % 12.91/13.05 3295. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (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))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((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))))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2941 3278 3294 216 % 12.91/13.05 3296. (((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)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 437 2869 1851 2368 % 12.91/13.05 3297. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.05 3298. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.91/13.05 3299. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e2)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (e2)) ### DisjTree 3297 3264 824 3298 % 12.91/13.05 3300. (((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))) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (e2)) (((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)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 3299 1117 1851 2368 % 12.91/13.05 3301. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (e2)) ((e0) != (e3)) ((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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 1470 3300 3139 % 12.91/13.05 3302. (((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))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 3264 2869 1851 2368 % 12.91/13.05 3303. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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))) ((e0) != (e3)) ((op (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 (e2) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 3301 852 3302 3258 % 12.91/13.05 3304. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3303 949 389 % 12.91/13.05 3305. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.05 3306. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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) (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 (e2) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) (((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 (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 2670 3304 3305 421 % 12.91/13.05 3307. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) (((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)) ((e0) != (e3)) ((op (e2) (e2)) = (e3)) ((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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2941 1688 3296 3306 % 12.91/13.05 3308. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) (((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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((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) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 3295 3307 % 12.91/13.05 3309. (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (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))))) ((e0) != (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)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) ((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))))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (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 (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ### Or 3308 1851 % 12.91/13.05 3310. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.05 3311. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.91/13.05 3312. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (e2)) ### DisjTree 3310 1299 824 3311 % 12.91/13.05 3313. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.05 3314. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.91/13.05 3315. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (e2)) ### DisjTree 3313 372 824 3314 % 12.91/13.05 3316. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 3312 3210 3315 % 12.91/13.05 3317. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.91/13.05 3318. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 2869 1470 1299 3317 % 12.91/13.05 3319. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.91/13.05 3320. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (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))))) ### DisjTree 3251 1288 1299 3319 % 12.91/13.05 3321. (((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)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1042 1018 426 978 % 12.91/13.05 3322. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e3)) = (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 (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 3320 3321 824 1184 % 12.91/13.05 3323. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((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 (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e2) != (e3)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 1018 2734 178 3322 % 12.91/13.05 3324. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (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 (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 (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 3264 3318 1851 3323 % 12.91/13.05 3325. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e1) (e3))) ((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 (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 3312 3324 3315 % 12.91/13.05 3326. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e2) (e0)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) (((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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (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 (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 3309 3316 3325 % 12.91/13.05 3327. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.91/13.05 3328. ((op (e3) (e0)) != (e3)) (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (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 (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((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))))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e2) (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 (e0) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3326 358 3327 % 12.91/13.05 3329. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (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)) = (e1)) ((e1) != (e2)) ### DisjTree 200 514 3318 3315 % 12.91/13.05 3330. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.91/13.05 3331. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.05 3332. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.91/13.05 3333. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) ### DisjTree 3331 1414 824 3332 % 12.91/13.05 3334. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) != (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) (e1)) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 3330 3333 653 % 12.91/13.05 3335. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1470 747 3334 % 12.91/13.05 3336. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.91/13.05 3337. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 3265 1470 1299 3336 % 12.91/13.05 3338. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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)) = (e3)) ((e2) != (e3)) ### DisjTree 338 514 3337 106 % 12.91/13.05 3339. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 102 3337 106 % 12.91/13.05 3340. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((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)) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 3338 3312 3339 1270 % 12.91/13.05 3341. (((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 (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (((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)) = (e3)) ((op (e1) (e1)) != (op (e1) (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 (e2) (e0)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1470 3262 3340 % 12.91/13.05 3342. (((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 (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (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)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3341 978 884 % 12.91/13.05 3343. (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (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) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 3335 495 3342 % 12.91/13.05 3344. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.91/13.05 3345. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 1588 216 321 595 % 12.91/13.05 3346. (((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 (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 3344 1193 363 3345 % 12.91/13.05 3347. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((e1) != (e3)) ((op (e3) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 421 372 581 3346 % 12.91/13.05 3348. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e0)) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) (((op (e0) (e0)) = (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) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 3343 2734 268 3347 % 12.91/13.05 3349. (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (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) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (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) (e0)) = (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 3348 1928 268 1448 % 12.91/13.05 3350. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e0)) = (e3)) (((op (e0) (e0)) = (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) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 3312 3349 3315 % 12.91/13.05 3351. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (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) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (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) (e0)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((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))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (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 (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 476 3329 3350 % 12.91/13.05 3352. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (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) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (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) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (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 (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 3252 3316 3351 % 12.91/13.05 3353. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.91/13.05 3354. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (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) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e1)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (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))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (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) (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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3352 949 3353 % 12.91/13.05 3355. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.05 3356. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (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))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (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) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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 (e2) (e0)) != (op (e2) (e2))) (((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 (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 2670 3354 3355 421 % 12.91/13.05 3357. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 421 372 581 321 % 12.91/13.05 3358. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 3357 140 1678 1184 % 12.91/13.05 3359. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (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) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 3343 1443 268 3358 % 12.91/13.05 3360. ((op (e2) (e1)) = (e0)) (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e2) (e0)) != (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) (e1)) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (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) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 3359 1117 268 1448 % 12.91/13.05 3361. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 1018 2734 268 3358 % 12.91/13.05 3362. ((op (e1) (e0)) = (e3)) ((op (e1) (e3)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e0)) = (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) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e0)) != (e2)) (((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 (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 3264 3360 1851 3361 % 12.91/13.06 3363. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (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) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e0)) = (e3)) ((op (e2) (e0)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 3312 3362 3315 % 12.91/13.06 3364. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (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 (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((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 (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 3278 3316 3363 % 12.91/13.06 3365. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.91/13.06 3366. ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (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 (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3364 949 3365 % 12.91/13.06 3367. (((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)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((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 (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3366 978 884 % 12.91/13.06 3368. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.06 3369. (((op (e0) (e0)) = (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) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e3) (e0)) != (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 (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((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)) ((e0) != (e2)) ### DisjTree 326 3367 3368 421 % 12.91/13.06 3370. ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (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) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (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) (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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((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 (e3) (e0)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 3356 3369 % 12.91/13.06 3371. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e2) (e0)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) (((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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (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 (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e3) (e0)) != (e3)) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2941 3250 3328 3370 % 12.91/13.06 3372. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.91/13.06 3373. (((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) (e0)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1470 3262 204 % 12.91/13.06 3374. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (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) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 3372 3343 3373 % 12.91/13.06 3375. ((op (e1) (e0)) != (e1)) ((op (e3) (e0)) != (e3)) (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (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 (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((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))))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e2) (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 (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2941 3371 3374 216 % 12.91/13.06 3376. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.91/13.06 3377. (((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)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (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 (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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)) = (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)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (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))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 3307 3316 2195 % 12.91/13.06 3378. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 964 3315 1184 1425 % 12.91/13.06 3379. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (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 (e2) (e2)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 1443 178 3378 % 12.91/13.06 3380. ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e3)) ((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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3377 949 3379 % 12.91/13.06 3381. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1470 747 2594 % 12.91/13.06 3382. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 3271 3381 2195 % 12.91/13.06 3383. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((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 (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1470 1117 3338 % 12.91/13.06 3384. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (((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)) = (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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 (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 907 3252 3383 1481 % 12.91/13.06 3385. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3382 949 3384 % 12.91/13.06 3386. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) (((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)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3385 537 884 % 12.91/13.06 3387. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 1131 363 609 % 12.91/13.06 3388. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 3386 2870 178 3387 % 12.91/13.06 3389. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) (((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)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e2)) = (e0)) ((op (e0) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 3388 346 239 1270 % 12.91/13.06 3390. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (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 (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 3271 3389 1481 % 12.91/13.06 3391. ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 3271 3390 2195 % 12.91/13.06 3392. ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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 (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3391 358 964 % 12.91/13.06 3393. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (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) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 3392 3315 1184 321 % 12.91/13.06 3394. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) ((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) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (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 (e2) (e1)) != (op (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 (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 3337 1443 268 3393 % 12.91/13.06 3395. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (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 (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (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) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 514 3394 3315 % 12.91/13.06 3396. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (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 (e2) (e1)) != (op (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 (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3395 978 884 % 12.91/13.06 3397. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.06 3398. ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3392 978 884 % 12.91/13.06 3399. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (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) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 3396 3397 3398 % 12.91/13.06 3400. (((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)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (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) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (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) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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)) = (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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (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))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 3380 3399 % 12.91/13.06 3401. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 514 2874 3315 % 12.91/13.06 3402. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.06 3403. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (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)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 3401 3402 421 % 12.91/13.06 3404. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e1) (e2)) = (e0)) ((e1) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2874 239 824 1184 % 12.91/13.06 3405. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 3337 2870 268 3404 % 12.91/13.07 3406. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (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) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 514 3405 3315 % 12.91/13.07 3407. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2729 3406 1481 % 12.91/13.07 3408. (((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 (e0) (e1))) ((op (e0) (e0)) = (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)) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 3303 3407 2195 % 12.91/13.07 3409. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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) (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 (e2) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e3)) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3408 949 389 % 12.91/13.07 3410. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e2)) != (op (e2) (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 (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)) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3409 978 884 % 12.91/13.07 3411. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.07 3412. (((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 (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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) (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 (e2) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e3)) (((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)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 3410 3411 421 % 12.91/13.07 3413. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (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 (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)) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (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 (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 3403 3412 % 12.91/13.07 3414. ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((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 (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e3)) ((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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (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 (e1) (e2))) ((op (e0) (e1)) != (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 (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2941 3376 3400 3413 % 12.91/13.07 3415. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.91/13.07 3416. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.91/13.07 3417. (((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))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 3280 2869 1851 2368 % 12.91/13.07 3418. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) (((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)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((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))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 3416 3417 653 % 12.91/13.07 3419. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (e2)) ((e0) != (e3)) ((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))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 1493 3300 3418 % 12.91/13.07 3420. (((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)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((e0) != (e1)) (((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) (e0)) != (e2)) (((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)) = (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 3419 3381 2195 % 12.91/13.07 3421. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.91/13.07 3422. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 3421 925 934 % 12.91/13.07 3423. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (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))))) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (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)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3420 358 3422 % 12.91/13.07 3424. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e1)) (((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) (e0)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 338 978 3423 % 12.91/13.07 3425. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.07 3426. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3382 358 964 % 12.91/13.07 3427. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((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 (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((e2) != (e3)) (((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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (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 (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3426 978 884 % 12.91/13.07 3428. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (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) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 3386 3425 3427 % 12.91/13.07 3429. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (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))))) ((e0) != (e1)) ((e1) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 3424 495 3428 % 12.91/13.07 3430. (((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)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1470 1117 204 % 12.91/13.07 3431. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2729 3430 1481 % 12.91/13.07 3432. (((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 (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 3303 3431 2195 % 12.91/13.07 3433. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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) (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 (e2) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (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 (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3432 949 3422 % 12.91/13.07 3434. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e1)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 338 537 3433 % 12.91/13.07 3435. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.91/13.07 3436. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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) (e0)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (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 (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2749 3434 3435 421 % 12.91/13.07 3437. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((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))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 102 3302 3258 % 12.91/13.07 3438. (((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)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (e2)) ((e0) != (e3)) ((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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 3303 852 3437 1270 % 12.91/13.07 3439. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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))) ((e0) != (e3)) ((op (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 (e2) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((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)) = (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)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 3438 3430 1481 % 12.91/13.07 3440. (((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)) != (op (e0) (e1))) ((op (e0) (e0)) = (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))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3439 949 389 % 12.91/13.07 3441. (((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) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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) (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 (e2) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (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)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2852 3440 978 884 % 12.91/13.07 3442. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (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 (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (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))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2749 3436 495 3441 % 12.91/13.07 3443. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (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) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e1)) (((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) (e0)) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (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) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 3415 3429 3442 % 12.91/13.07 3444. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (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 (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (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) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((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 (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((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)) = (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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (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))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2941 3414 3443 216 % 12.91/13.07 3445. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (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)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) (((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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (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 (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e1) (e0)) != (e1)) ### Or 3375 3444 % 12.91/13.07 3446. ((op (e1) (e0)) != (e1)) (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (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 (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((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))))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (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) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ### Or 3445 1851 % 12.91/13.07 3447. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (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)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((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))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) (((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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (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 (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((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 3446 3309 % 12.91/13.07 3448. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (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 (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((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 (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((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))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (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) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ### ConjTree 3447 % 12.91/13.07 3449. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 12.91/13.07 3450. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 3094 290 949 3422 % 12.91/13.07 3451. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 3094 338 978 3450 % 12.91/13.08 3452. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.91/13.08 3453. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.91/13.08 3454. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.91/13.08 3455. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 1136 3453 844 3454 % 12.91/13.08 3456. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 514 3452 3455 % 12.91/13.08 3457. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 3094 3456 454 3450 % 12.91/13.08 3458. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.91/13.08 3459. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom % 12.91/13.08 3460. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 72 844 1184 3194 % 12.91/13.08 3461. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1443 41 3460 % 12.91/13.08 3462. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) = (e3)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) ((op (e2) (e1)) != (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))))) ### DisjTree 620 1117 1851 3461 % 12.91/13.08 3463. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((e0) != (e1)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 3459 925 3462 % 12.91/13.08 3464. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.91/13.08 3465. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 102 3464 3455 % 12.91/13.08 3466. (((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 (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1346 3455 1184 383 % 12.91/13.08 3467. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (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) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 1443 268 3466 % 12.91/13.08 3468. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((e0) != (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))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 3456 3463 3465 3467 % 12.91/13.08 3469. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3458 3468 1727 % 12.91/13.08 3470. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((e0) != (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))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 290 949 3469 % 12.91/13.08 3471. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 3470 978 3450 % 12.91/13.08 3472. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 3094 1346 454 3450 % 12.91/13.08 3473. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((e0) != (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 (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 2673 3457 3471 3472 % 12.91/13.08 3474. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e1)) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 3456 978 884 % 12.91/13.08 3475. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.91/13.08 3476. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 964 844 581 321 % 12.91/13.08 3477. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 3476 102 1181 1184 % 12.91/13.08 3478. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1443 41 3477 % 12.91/13.08 3479. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.91/13.08 3480. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 3478 3479 3455 % 12.91/13.08 3481. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3475 3480 1727 % 12.91/13.08 3482. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (e1)) (((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)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 3094 290 949 3481 % 12.91/13.08 3483. (((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 (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) != (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 (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)))))))) ### DisjTree 3094 3482 978 884 % 12.91/13.08 3484. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ### DisjTree 2672 3474 3483 1347 % 12.91/13.08 3485. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (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) (e1)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ### DisjTree 2672 3451 3473 3484 % 12.91/13.08 3486. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 3485 268 % 12.91/13.08 3487. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### Or 3486 1470 % 12.91/13.08 3488. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e1)) = (e0)) ### Or 3449 3487 % 12.91/13.08 3489. ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (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 (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ### ConjTree 3488 % 12.91/13.08 3490. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom % 12.91/13.08 3491. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.91/13.08 3492. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.91/13.08 3493. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 1299 3491 3492 % 12.91/13.08 3494. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### Or 3493 824 % 12.91/13.08 3495. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.91/13.08 3496. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.91/13.08 3497. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 372 3495 3496 % 12.91/13.08 3498. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e2)) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 3494 3264 3497 % 12.91/13.08 3499. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 1688 437 2749 % 12.91/13.08 3500. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (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 (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (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)) ((e1) != (e2)) ### DisjTree 692 3498 3499 216 % 12.91/13.08 3501. ((e1) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 3500 824 % 12.91/13.08 3502. (((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 (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (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 (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) = (e0)) ### Or 3490 3501 % 12.91/13.08 3503. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 3502 % 12.91/13.08 3504. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 3422 % 12.91/13.08 3505. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((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))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) (((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)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (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))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e2) != (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (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 (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 3448 3489 3503 3098 3099 1471 3100 3101 1890 1893 1894 1896 3504 3166 1900 3245 % 12.91/13.08 3506. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (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))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((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))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 3505 % 12.96/13.08 3507. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 12.96/13.08 3508. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 3507 % 12.96/13.08 3509. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.96/13.08 3510. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 3509 % 12.96/13.08 3511. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 12.96/13.08 3512. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.08 3513. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) = (e2)) ### Or 3511 3512 % 12.96/13.08 3514. (((op (e0) (e0)) = (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 (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e0)) ### ConjTree 3513 % 12.96/13.08 3515. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) ((e0) != (e2)) ### ConjTree 149 % 12.96/13.08 3516. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.08 3517. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 2869 3516 1432 % 12.96/13.08 3518. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### ConjTree 3517 % 12.96/13.08 3519. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 3513 % 12.96/13.08 3520. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom % 12.96/13.08 3521. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e1)) ### Or 3520 852 % 12.96/13.08 3522. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) != (e2)) ((op (e1) (e1)) = (e0)) ### ConjTree 3521 % 12.96/13.08 3523. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 12.96/13.08 3524. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e1) (e3)) = (e1)) ### Or 3523 236 % 12.96/13.08 3525. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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) != (e3)) ((op (e1) (e1)) = (e0)) ### ConjTree 3524 % 12.96/13.08 3526. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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 3513 % 12.96/13.08 3527. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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 3513 % 12.96/13.08 3528. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.96/13.08 3529. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 1108 800 761 % 12.96/13.08 3530. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 1136 149 3119 % 12.96/13.08 3531. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.96/13.08 3532. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.08 3533. (((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) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 3532 41 1181 978 % 12.96/13.08 3534. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (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)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 798 3531 3533 653 % 12.96/13.08 3535. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 3530 1131 3534 934 % 12.96/13.08 3536. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 3529 1136 149 3535 % 12.96/13.08 3537. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) = (e3)) ### Or 3528 3536 % 12.96/13.08 3538. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.96/13.08 3539. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.08 3540. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3539 178 756 % 12.96/13.08 3541. (((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 (e2) (e2))) ((op (e1) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 1120 3540 48 761 % 12.96/13.08 3542. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (e1)) ((op (e0) (e2)) != (op (e2) (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)) = (e3)) ### Or 3538 3541 % 12.96/13.08 3543. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (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)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### Or 3537 3542 % 12.96/13.08 3544. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (e1)) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### Or 3543 1493 % 12.96/13.08 3545. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 3544 % 12.96/13.08 3546. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.96/13.08 3547. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.08 3548. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 852 1697 3258 % 12.96/13.08 3549. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 3530 3548 294 389 % 12.96/13.08 3550. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 3549 321 % 12.96/13.08 3551. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3547 797 3550 % 12.96/13.09 3552. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.09 3553. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 852 1697 3258 % 12.96/13.09 3554. (((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)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 3553 1721 641 3181 % 12.96/13.09 3555. (((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 (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1493 3554 204 % 12.96/13.09 3556. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (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) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3555 294 298 % 12.96/13.09 3557. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (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 (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 3552 797 3556 % 12.96/13.09 3558. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.09 3559. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.96/13.09 3560. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 3558 1493 3559 216 % 12.96/13.09 3561. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (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 (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 3551 3557 3560 % 12.96/13.09 3562. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.96/13.09 3563. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 1756 1136 149 3517 % 12.96/13.09 3564. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 3561 256 3562 3563 % 12.96/13.09 3565. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (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 (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ### Or 3546 3564 % 12.96/13.09 3566. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 3565 852 % 12.96/13.09 3567. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### Or 3566 407 % 12.96/13.09 3568. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ### ConjTree 3567 % 12.96/13.09 3569. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.09 3570. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.09 3571. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 3553 236 641 567 % 12.96/13.09 3572. (((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 562 641 701 % 12.96/13.09 3573. (((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)) != (op (e1) (e2))) (((op (e3) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 3571 236 3572 572 % 12.96/13.09 3574. (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 743 3573 204 % 12.96/13.09 3575. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.96/13.09 3576. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (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 (e3) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 3570 1493 3574 3575 % 12.96/13.09 3577. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.09 3578. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.09 3579. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 3530 3553 949 389 % 12.96/13.09 3580. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 3578 41 618 3579 % 12.96/13.09 3581. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 2869 3580 372 1524 % 12.96/13.09 3582. ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((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 (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### DisjTree 3576 852 1697 3581 % 12.96/13.09 3583. (((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)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 72 372 581 383 % 12.96/13.09 3584. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.09 3585. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 1136 3584 3581 3553 % 12.96/13.09 3586. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (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) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 852 3583 3585 % 12.96/13.09 3587. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (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 (e3) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 3582 852 426 3586 % 12.96/13.09 3588. ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((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 (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e3)) != (e1)) (((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)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 3587 743 3580 204 % 12.96/13.09 3589. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.96/13.09 3590. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (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 (e3) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 3577 1493 3588 3589 % 12.96/13.09 3591. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((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 (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 (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (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) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### DisjTree 3530 3590 454 595 % 12.96/13.09 3592. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (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 (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 3576 3591 1271 % 12.96/13.09 3593. ((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)) != (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) (e3)) != (op (e3) (e3))) (((op (e3) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (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) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 3569 797 3592 % 12.96/13.09 3594. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.09 3595. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) (((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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 3576 1065 1271 % 12.96/13.09 3596. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e3) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 3594 797 3595 % 12.96/13.09 3597. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.09 3598. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.09 3599. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ### DisjTree 3598 413 1181 1337 % 12.96/13.09 3600. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 797 641 212 3599 % 12.96/13.09 3601. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) ((e0) != (e3)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 3553 1722 3600 567 % 12.96/13.09 3602. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.96/13.09 3603. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (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 (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 3597 1493 3601 3602 % 12.96/13.09 3604. ((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 (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 3119 3603 1411 396 % 12.96/13.09 3605. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (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) (e2)) = (e0)) (((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)) ((op (e1) (e0)) != (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (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 (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 3604 1065 1271 % 12.96/13.09 3606. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.09 3607. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 3606 797 262 % 12.96/13.09 3608. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (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 (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 3604 1065 131 % 12.96/13.09 3609. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.09 3610. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((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 (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) != (e1)) ((e1) != (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) (e2)) = (e0)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 3608 3609 797 262 % 12.96/13.09 3611. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) ((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 (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) != (e1)) ((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) (e2)) = (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) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 3605 798 3607 3610 % 12.96/13.09 3612. (((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))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((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)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (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 (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 3596 1136 149 3611 % 12.96/13.09 3613. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.96/13.09 3614. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (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 (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (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 (e2) (e0))) ### DisjTree 3593 256 3612 3613 % 12.96/13.09 3615. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (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) (e1)) != (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 (e3) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (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) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 3614 236 % 12.96/13.09 3616. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (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 (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (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) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (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 (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### Or 3615 3530 % 12.96/13.09 3617. ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (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) (e3)) != (op (e3) (e3))) (((op (e3) (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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((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 (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (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) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 3616 % 12.96/13.09 3618. 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(((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (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)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) ((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) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) = (e2)) ### DisjTree 3514 3036 3515 3518 3519 1637 3522 3525 3526 3131 2485 2613 3527 3545 3568 3617 % 12.96/13.09 3619. 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(((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 3618 % 12.96/13.10 3620. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.10 3621. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ### ConjTree 3620 % 12.96/13.10 3622. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 12.96/13.10 3623. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.96/13.10 3624. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.10 3625. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 149 1117 3624 2368 % 12.96/13.10 3626. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1346 106 581 1425 % 12.96/13.10 3627. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 3626 102 1181 2396 % 12.96/13.10 3628. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.96/13.10 3629. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (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 (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1411 3627 3628 106 % 12.96/13.10 3630. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((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))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3623 3625 3629 % 12.96/13.10 3631. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.10 3632. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 290 3630 3631 % 12.96/13.10 3633. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.96/13.10 3634. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ### DisjTree 884 2324 2590 144 % 12.96/13.10 3635. ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 72 106 3634 1425 % 12.96/13.10 3636. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((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))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3633 3625 3635 % 12.96/13.10 3637. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) = (e1)) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((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))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ### DisjTree 3093 3632 454 3636 % 12.96/13.10 3638. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.96/13.10 3639. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 61 2296 2299 % 12.96/13.10 3640. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.96/13.10 3641. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2397 3639 3640 106 % 12.96/13.10 3642. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) = (e0)) ((op (e2) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((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))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3638 3625 3641 % 12.96/13.10 3643. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((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))))) ((op (e1) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 3632 3642 884 % 12.96/13.10 3644. (((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) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ### DisjTree 2672 2397 3637 3643 % 12.96/13.10 3645. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e2) (e2)) != (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) (e1)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 3644 783 % 12.96/13.10 3646. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ### DisjTree 2368 413 2590 294 % 12.96/13.10 3647. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.10 3648. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ### DisjTree 3093 290 3646 3647 % 12.96/13.10 3649. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### Or 3645 3648 % 12.96/13.10 3650. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.96/13.10 3651. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.10 3652. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.96/13.10 3653. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 3651 3652 311 820 % 12.96/13.10 3654. (((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 (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 670 106 1436 3653 % 12.96/13.10 3655. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 72 106 469 1425 % 12.96/13.10 3656. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((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)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 670 3655 363 783 % 12.96/13.10 3657. (((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)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 630 3654 268 3656 % 12.96/13.10 3658. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.10 3659. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.96/13.10 3660. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 3658 3659 363 609 % 12.96/13.10 3661. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 743 413 3660 % 12.96/13.10 3662. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e0)) (((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 (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((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))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 3625 3657 3661 % 12.96/13.10 3663. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.10 3664. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (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))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 149 3662 3663 2368 % 12.96/13.10 3665. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e2)) != (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)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2397 367 3650 3664 % 12.96/13.10 3666. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e0) (e0)) != (op (e2) (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 (e2) (e2)) != (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### Or 3665 783 % 12.96/13.10 3667. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (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 (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e2)) != (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)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ### Or 3666 3648 % 12.96/13.10 3668. (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e2) (e2)) != (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)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### Or 3649 3667 % 12.96/13.10 3669. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((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)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) ((op (e0) (e1)) = (e0)) ### Or 3622 3668 % 12.96/13.10 3670. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e2) (e2)) != (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)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ### ConjTree 3669 % 12.96/13.10 3671. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.10 3672. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 149 630 3671 2368 % 12.96/13.10 3673. (((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)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 670 3635 1436 3653 % 12.96/13.10 3674. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 630 3673 268 3656 % 12.96/13.10 3675. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.10 3676. (((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)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 149 3674 3675 2368 % 12.96/13.10 3677. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e0)) ((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))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 338 3672 3676 % 12.96/13.10 3678. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.10 3679. (((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)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) (((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 (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e3)) = (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))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 149 3657 3678 2368 % 12.96/13.10 3680. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((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)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 367 1697 3679 % 12.96/13.10 3681. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((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)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e1) (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) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 1057 1697 3679 % 12.96/13.10 3682. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) (((op (e1) (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)))))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((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)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) (((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 (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (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))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 3681 3672 884 % 12.96/13.10 3683. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (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) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 3677 3680 3682 % 12.96/13.10 3684. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e0)) ((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))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 3683 783 % 12.96/13.10 3685. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (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) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e2) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 641 3684 3661 % 12.96/13.10 3686. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.96/13.10 3687. (((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)) = (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((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))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 208 3685 3686 % 12.96/13.10 3688. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.96/13.10 3689. ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (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) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 3687 367 3688 3664 % 12.96/13.10 3690. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.10 3691. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ### DisjTree 131 2212 2590 1425 % 12.96/13.10 3692. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 53 178 3691 % 12.96/13.10 3693. (((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)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((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 1403 1288 48 3692 % 12.96/13.10 3694. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.10 3695. (((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)) = (e1)) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 290 1493 1153 2195 % 12.96/13.10 3696. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.10 3697. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) = (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 (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3695 3646 3696 % 12.96/13.10 3698. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) (((op (e1) (e2)) = (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 (e2) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 2397 2355 131 % 12.96/13.10 3699. (((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 (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (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 (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e0)) ((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))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 3683 1288 48 3698 % 12.96/13.10 3700. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom % 12.96/13.10 3701. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 630 3700 2368 % 12.96/13.10 3702. ((e2) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 229 106 3634 1425 % 12.96/13.10 3703. (((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)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 670 3702 1436 3653 % 12.96/13.10 3704. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e0)) ((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 3701 3703 268 3656 % 12.96/13.10 3705. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((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))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 465 338 3701 3704 % 12.96/13.10 3706. (((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))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e0)) ((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 3701 3654 268 3656 % 12.96/13.10 3707. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((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 (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((e2) != (e3)) ((e0) != (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 (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e1) (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) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 1057 1697 3706 % 12.96/13.10 3708. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((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 (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((e0) != (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 (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ### DisjTree 338 367 1697 3706 % 12.96/13.10 3709. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e0)) ((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))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 3708 3701 884 % 12.96/13.10 3710. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 693 3705 3707 3709 % 12.96/13.10 3711. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((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))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (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) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 3710 53 178 262 % 12.96/13.10 3712. (((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)) = (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 (e1) (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) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (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 (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((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)) = (e1)) ((e0) != (e1)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 3697 3699 149 3711 % 12.96/13.10 3713. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (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)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (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)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 3693 3694 3712 1837 % 12.96/13.10 3714. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (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) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (e3)) (((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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 3713 783 % 12.96/13.10 3715. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (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)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e2) (e2)) != (e0)) ### DisjTree 3690 3714 1181 1000 % 12.96/13.11 3716. ((op (e2) (e2)) != (e0)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) = (e0)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (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) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2299 2302 2305 3715 % 12.96/13.11 3717. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e2) (e2)) != (e0)) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 290 208 2296 3716 % 12.96/13.11 3718. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ### DisjTree 495 239 1181 2396 % 12.96/13.11 3719. ((op (e0) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e2) (e2)) != (e0)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (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) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (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) (e2)) != (op (e1) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 3717 1493 3718 2195 % 12.96/13.11 3720. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (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)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 743 3714 3660 % 12.96/13.11 3721. ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (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) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (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) (e0)) != (op (e1) (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 (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 407 2397 3720 131 % 12.96/13.11 3722. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (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 (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (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 (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((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))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ### DisjTree 3689 1288 3719 3721 % 12.96/13.11 3723. ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (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) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (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) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e2))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (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 (e1) (e0)) != (op (e1) (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) (e2)) != (op (e1) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### Or 3722 783 % 12.96/13.11 3724. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (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 (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (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 (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((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))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ### Or 3723 3714 % 12.96/13.11 3725. (((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)) = (e1)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((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))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ### Or 3689 783 % 12.96/13.11 3726. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (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) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### Or 3725 3684 % 12.96/13.11 3727. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (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) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (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) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((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)) != (op (e2) (e2))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (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 (e1) (e0)) != (op (e1) (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) (e2)) != (op (e1) (e2))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### Or 3724 3726 % 12.96/13.11 3728. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (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 (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e0)) != (op (e2) (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) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((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) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (e0)) ((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))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (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 (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ### ConjTree 3727 % 12.96/13.11 3729. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) != (e2)) ((op (e2) (e0)) = (e2)) ((e0) != (e1)) ((op (e2) (e2)) != (e0)) ((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 3625 % 12.96/13.11 3730. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 12.96/13.11 3731. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1411 1062 1697 106 % 12.96/13.11 3732. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.11 3733. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 1721 3731 3732 % 12.96/13.11 3734. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((e2) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (e3)) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 537 562 2642 3655 % 12.96/13.11 3735. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 3733 1275 3734 216 % 12.96/13.11 3736. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) (((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) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e3) (e3)) = (e0)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ### Or 3730 3735 % 12.96/13.11 3737. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (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))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### ConjTree 3736 % 12.96/13.11 3738. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e1))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (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 (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e2) (e0)) = (e2)) ### DisjTree 3514 3670 3515 2291 3519 3728 3729 3737 3526 3131 2485 2613 2653 2656 2659 610 % 12.96/13.11 3739. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((e2) != (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (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) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 3738 % 12.96/13.11 3740. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 12.96/13.11 3741. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.11 3742. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ### Or 3740 3741 % 12.96/13.11 3743. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 3742 % 12.96/13.11 3744. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom % 12.96/13.11 3745. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e0)) ### Or 3744 692 % 12.96/13.11 3746. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e1)) ### ConjTree 3745 % 12.96/13.11 3747. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (e0) (e0)) != (op (e0) (e1))) ### ConjTree 793 % 12.96/13.11 3748. (((op (e1) (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 (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e1)) ### ConjTree 3742 % 12.96/13.11 3749. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom % 12.96/13.11 3750. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ### Or 3749 1299 % 12.96/13.11 3751. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ### ConjTree 3750 % 12.96/13.11 3752. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.11 3753. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 1928 3752 1448 % 12.96/13.11 3754. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((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))))) ### ConjTree 3753 % 12.96/13.11 3755. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 3742 % 12.96/13.11 3756. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 12.96/13.11 3757. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.96/13.11 3758. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.11 3759. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.11 3760. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (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))))) ((op (e0) (e1)) != (e0)) ### DisjTree 3759 1525 1157 1481 % 12.96/13.11 3761. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.11 3762. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e0) (e1)) != (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))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 3760 3761 964 % 12.96/13.11 3763. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.11 3764. (((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 (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((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) (e1)) != (e0)) ((op (e2) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 3762 906 3763 949 % 12.96/13.11 3765. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.11 3766. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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 3626 562 1524 653 % 12.96/13.11 3767. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 236 3766 934 % 12.96/13.11 3768. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 53 1928 3767 % 12.96/13.11 3769. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 743 1928 3767 % 12.96/13.11 3770. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.11 3771. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 437 1928 3770 1448 % 12.96/13.11 3772. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((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))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 3768 1493 3769 3771 % 12.96/13.11 3773. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (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 (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 3765 3772 1157 1481 % 12.96/13.11 3774. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.11 3775. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.11 3776. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (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 (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 3775 1275 1776 185 % 12.96/13.11 3777. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 208 1928 3776 % 12.96/13.11 3778. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.11 3779. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.96/13.11 3780. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 12.96/13.11 3781. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=) % 12.96/13.11 3782. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq 3779 3780 3781 % 12.96/13.11 3783. (((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 (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 3778 1288 136 3782 % 12.96/13.11 3784. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.11 3785. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 3784 793 136 1131 % 12.96/13.11 3786. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1346 3777 3783 3785 % 12.96/13.11 3787. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1346 3776 1414 653 % 12.96/13.11 3788. (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3786 1928 3787 % 12.96/13.11 3789. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e0) (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) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (e2)) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((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))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 3773 3774 3788 % 12.96/13.11 3790. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((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)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (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 (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (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 (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((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) (e1)) != (e0)) ((op (e2) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 3762 3789 884 % 12.96/13.11 3791. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.11 3792. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e0) (e1)) != (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))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e0) (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) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (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))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 3790 906 3791 294 % 12.96/13.12 3793. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (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 (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (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 (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((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) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 831 1414 3764 3792 % 12.96/13.12 3794. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.12 3795. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.96/13.12 3796. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1493 1928 3139 % 12.96/13.12 3797. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.12 3798. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 3796 3797 964 % 12.96/13.12 3799. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.12 3800. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (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) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (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 (e2) (e0)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 3772 3799 964 % 12.96/13.12 3801. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((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)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 3798 3800 884 % 12.96/13.12 3802. (((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 (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 2869 1466 2368 % 12.96/13.12 3803. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (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) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (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 (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 3795 1136 3801 3802 % 12.96/13.12 3804. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.12 3805. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.12 3806. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1346 372 1184 1425 % 12.96/13.12 3807. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 743 3805 3806 % 12.96/13.12 3808. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (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)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 3807 562 3783 3785 % 12.96/13.12 3809. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((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 (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 815 208 3808 934 % 12.96/13.12 3810. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 743 1928 3787 % 12.96/13.12 3811. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (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 (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 3810 106 581 1425 % 12.96/13.12 3812. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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 (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 743 1928 3811 % 12.96/13.12 3813. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.12 3814. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 1117 3813 1448 % 12.96/13.12 3815. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (e1)) ### DisjTree 3804 3809 3812 3814 % 12.96/13.12 3816. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) = (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 (e0) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e0)) ((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)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (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) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ### DisjTree 3794 3803 3815 1481 % 12.96/13.12 3817. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (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)) != (e0)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((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)) != (e0)) ((op (e2) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (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) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (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))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 3793 3816 884 % 12.96/13.12 3818. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (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 (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (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 (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (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) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (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) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ### DisjTree 3757 3758 3817 981 % 12.96/13.12 3819. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (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) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (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))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ### Or 3756 3818 % 12.96/13.12 3820. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 12.96/13.12 3821. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.96/13.12 3822. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.12 3823. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ### DisjTree 3821 3822 1466 1837 % 12.96/13.12 3824. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ### Or 3820 3823 % 12.96/13.12 3825. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (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 (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (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 (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (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) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (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) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ### Or 3819 3824 % 12.96/13.12 3826. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 12.96/13.12 3827. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.96/13.12 3828. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.12 3829. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (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) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) ### DisjTree 3827 3828 3803 1837 % 12.96/13.12 3830. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (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 (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ### Or 3826 3829 % 12.96/13.12 3831. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (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)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e2) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (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) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (e0)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ### Or 3830 3824 % 12.96/13.12 3832. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (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) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (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))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ### Or 3825 3831 % 12.96/13.12 3833. (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (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 (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (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 (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (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) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (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) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ### Or 3832 1403 % 12.96/13.12 3834. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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) (e1)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e0) (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) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (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))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ### ConjTree 3833 % 12.96/13.12 3835. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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 3742 % 12.96/13.12 3836. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.96/13.12 3837. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.12 3838. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.96/13.12 3839. (((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 (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 338 354 981 % 12.96/13.12 3840. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.96/13.12 3841. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.12 3842. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 3840 3841 363 % 12.96/13.12 3843. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((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 (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 3839 3842 321 % 12.96/13.12 3844. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1403 3837 3838 3843 % 12.96/13.12 3845. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (e0)) (((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)) != (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ### Or 3836 3844 % 12.96/13.12 3846. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 3845 1299 % 12.96/13.12 3847. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### Or 3846 692 % 12.96/13.12 3848. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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) (e1)) != (e0)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### ConjTree 3847 % 12.96/13.12 3849. (((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 208 1414 701 % 12.96/13.12 3850. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (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) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 3849 1928 2320 % 12.96/13.12 3851. (((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) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e0) (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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 3850 1411 660 % 12.96/13.12 3852. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.12 3853. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.96/13.12 3854. (((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 (e1) (e3)) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 476 3853 383 572 % 12.96/13.12 3855. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (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)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 229 106 581 3854 % 12.96/13.12 3856. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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 (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 1493 1928 3855 % 12.96/13.12 3857. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.12 3858. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.12 3859. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 3858 793 1411 1131 % 12.96/13.12 3860. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 1170 545 372 3859 % 12.96/13.12 3861. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (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 (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ### DisjTree 495 743 3857 3860 % 12.96/13.12 3862. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.12 3863. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 3862 1275 1722 185 % 12.96/13.12 3864. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 208 1117 3863 % 12.96/13.12 3865. (((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)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 3854 743 1299 3864 % 12.96/13.12 3866. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (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) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 229 106 581 3865 % 12.96/13.12 3867. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.12 3868. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((e1) != (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 3866 3867 545 % 12.96/13.12 3869. ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (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) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (e0)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3861 1928 3868 % 12.96/13.12 3870. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (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))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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 (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 1157 906 1697 3869 % 12.96/13.12 3871. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 3852 3856 3870 1170 % 12.96/13.12 3872. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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 (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (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))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 3871 670 303 660 % 12.96/13.12 3873. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e1)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1346 372 581 3872 % 12.96/13.12 3874. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (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))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 3873 208 1414 567 % 12.96/13.12 3875. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e2) != (e3)) ((op (e1) (e0)) = (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (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))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 3873 1721 1414 653 % 12.96/13.12 3876. ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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 (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3874 1928 3875 % 12.96/13.12 3877. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.12 3878. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 3877 1275 1411 185 % 12.96/13.12 3879. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (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))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 3873 3878 1414 653 % 12.96/13.12 3880. ((op (e2) (e0)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (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))))) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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 (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 3874 1928 3879 % 12.96/13.12 3881. ((op (e0) (e0)) != (op (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) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (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) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (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))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 3876 3880 660 % 12.96/13.12 3882. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 208 1928 3878 % 12.96/13.12 3883. (((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) (e0)) != (op (e0) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 1721 3882 660 % 12.96/13.12 3884. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (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) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ### DisjTree 476 743 514 3883 % 12.96/13.12 3885. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.96/13.12 3886. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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) (e0)) != (op (e0) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 3884 3885 1270 572 % 12.96/13.12 3887. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.12 3888. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1346 372 581 321 % 12.96/13.12 3889. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 3888 140 1678 1184 % 12.96/13.12 3890. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (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) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (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 (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 3886 3887 3889 % 12.96/13.13 3891. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.13 3892. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e2) != (e3)) ### DisjTree 454 140 1678 1184 % 12.96/13.13 3893. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e2) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (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) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (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 (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 735 3886 3891 3892 % 12.96/13.13 3894. (((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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) (e0)) != (op (e0) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 464 3890 3893 884 % 12.96/13.13 3895. (((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1346 208 1414 701 % 12.96/13.13 3896. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) ((e1) != (e2)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (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) (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) (e0)) != (op (e0) (e1))) ### DisjTree 793 3895 1928 3787 % 12.96/13.13 3897. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (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) (e1))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e0)) != (op (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) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (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 (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) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 3894 1697 3896 % 12.96/13.13 3898. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e1)) != (op (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))))) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (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) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (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 (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 692 3851 3881 3897 % 12.96/13.13 3899. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((e1) != (e2)) ((op (e0) (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) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (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 (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 3898 3883 % 12.96/13.13 3900. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((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) != (e2)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (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) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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) (e0)) = (e1)) ((e1) != (e2)) ### ConjTree 3899 % 12.96/13.13 3901. 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(e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (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 (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (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) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ### DisjTree 2941 3743 3746 3061 3747 3748 3751 3754 3081 3755 1810 2694 3834 3835 3848 3900 % 12.96/13.13 3902. 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(((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) (((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 (e3) (e1)) != (op (e3) (e2))) ((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 (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 3901 % 12.96/13.13 3903. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 12.96/13.13 3904. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 3903 % 12.96/13.13 3905. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.96/13.13 3906. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ### ConjTree 3905 % 12.96/13.13 3907. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.13 3908. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.96/13.13 3909. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 3907 3908 354 820 % 12.96/13.13 3910. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.13 3911. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.96/13.13 3912. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 3910 3911 1000 820 % 12.96/13.13 3913. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.13 3914. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 1466 3913 1678 1000 % 12.96/13.13 3915. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 3909 3653 3912 3914 % 12.96/13.13 3916. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.13 3917. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.96/13.13 3918. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.13 3919. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ### DisjTree 1865 3918 1678 1000 % 12.96/13.13 3920. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 3916 3917 3919 820 % 12.96/13.13 3921. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.13 3922. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.13 3923. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (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 (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (e1)) ### DisjTree 3922 1288 2984 1096 % 12.96/13.13 3924. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 1136 1360 3923 % 12.96/13.13 3925. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 1756 476 157 783 % 12.96/13.13 3926. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.13 3927. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.96/13.13 3928. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 3926 3927 508 820 % 12.96/13.13 3929. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 3915 3920 3925 3928 % 12.96/13.13 3930. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.13 3931. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((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) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (e1)) ### DisjTree 3930 1288 2734 1096 % 12.96/13.13 3932. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 3924 3929 1865 3931 % 12.96/13.13 3933. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.13 3934. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 3932 358 3933 % 12.96/13.13 3935. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 3921 3934 756 % 12.96/13.13 3936. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 3909 3653 1851 2348 % 12.96/13.13 3937. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### Or 3929 783 % 12.96/13.13 3938. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 981 602 157 1481 % 12.96/13.13 3939. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 3937 1360 3938 % 12.96/13.13 3940. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 12.96/13.13 3941. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e3)) = (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 246 1414 3940 % 12.96/13.13 3942. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 3939 3929 1865 3941 % 12.96/13.13 3943. (((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 (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e3) (e0)) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 338 537 3942 % 12.96/13.13 3944. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e2)) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e2)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 3937 1360 1142 % 12.96/13.13 3945. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 3936 3943 495 3944 % 12.96/13.13 3946. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 3935 3945 761 % 12.96/13.13 3947. ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 3946 783 % 12.96/13.13 3948. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (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)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 3915 3920 3947 3928 % 12.96/13.13 3949. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (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 (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 3948 783 % 12.96/13.13 3950. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (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 (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (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)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### Or 3949 3937 % 12.96/13.13 3951. (((op (e0) (e0)) = (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) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (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 (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (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)) = (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) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 3950 % 12.96/13.13 3952. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom % 12.96/13.13 3953. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 53 1928 751 % 12.96/13.13 3954. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 3953 437 756 % 12.96/13.13 3955. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.96/13.13 3956. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom % 12.96/13.13 3957. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1788 372 1184 916 % 12.96/13.13 3958. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 3954 3955 3956 3957 % 12.96/13.13 3959. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### Or 3958 1299 % 12.96/13.13 3960. (((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 (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e0) (e2)) = (e0)) ### Or 3952 3959 % 12.96/13.13 3961. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### ConjTree 3960 % 12.96/13.13 3962. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom % 12.96/13.13 3963. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 229 372 944 916 % 12.96/13.13 3964. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 3963 820 % 12.96/13.13 3965. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e3)) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e0) (e3)) = (e0)) ### Or 3962 3964 % 12.96/13.13 3966. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### ConjTree 3965 % 12.96/13.13 3967. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 12.96/13.13 3968. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.96/13.13 3969. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.96/13.13 3970. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 3936 200 3063 1780 % 12.96/13.13 3971. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 3969 1136 788 3970 % 12.96/13.13 3972. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 3915 3920 3971 3928 % 12.96/13.13 3973. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((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 (e1) (e0)) != (op (e1) (e1))) (((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 (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 3968 256 3915 3972 % 12.96/13.13 3974. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((e0) != (e1)) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((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) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 3973 783 % 12.96/13.13 3975. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((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 (e1) (e0)) != (op (e1) (e1))) (((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 (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((e0) != (e1)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e1) (e0)) = (e1)) ### Or 3967 3974 % 12.96/13.13 3976. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 12.96/13.13 3977. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e1) (e0)) = (e1)) ### Or 3976 3937 % 12.96/13.13 3978. (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) = (e1)) (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e1)) (((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) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ### Or 3975 3977 % 12.96/13.13 3979. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (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 (e1) (e0)) != (op (e1) (e1))) (((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 (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 3978 % 12.96/13.13 3980. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 72 372 581 916 % 12.96/13.13 3981. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### ConjTree 3980 % 12.96/13.13 3982. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e3))) ((op (e2) (e0)) != (op (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 (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (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 (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (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 (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (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)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 3951 3743 3961 3966 3979 3748 3751 764 3981 3755 1810 2694 1028 1030 1033 1034 % 12.96/13.14 3983. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (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 (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (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 (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (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)) = (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) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e2) (e3))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 3982 % 12.96/13.14 3984. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.96/13.14 3985. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ### ConjTree 3984 % 12.96/13.14 3986. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.96/13.14 3987. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ### ConjTree 3986 % 12.96/13.14 3988. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.96/13.14 3989. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 3988 % 12.96/13.14 3990. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.96/13.14 3991. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ### ConjTree 3990 % 12.96/13.14 3992. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom % 12.96/13.14 3993. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 3994. (((op (e2) (e3)) != (e2)) \/ ((op (e2) (e2)) = (e3))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ### Or 3992 3993 % 12.96/13.14 3995. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 3994 % 12.96/13.14 3996. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 12.96/13.14 3997. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.96/13.14 3998. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.96/13.14 3999. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4000. (((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 (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 1466 212 618 3999 % 12.96/13.14 4001. (((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) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 1157 41 2329 3782 % 12.96/13.14 4002. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4003. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### DisjTree 788 1436 1458 4002 % 12.96/13.14 4004. (((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)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (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 (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (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 (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 4000 4001 4003 % 12.96/13.14 4005. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 4004 236 1524 1104 % 12.96/13.14 4006. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((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)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 852 2329 4005 % 12.96/13.14 4007. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 4006 1055 426 940 % 12.96/13.14 4008. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((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)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 200 4007 930 % 12.96/13.14 4009. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4010. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.14 4011. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (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))))) ### DisjTree 4001 178 4010 294 % 12.96/13.14 4012. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 674 3782 4009 4011 % 12.96/13.14 4013. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4014. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ### DisjTree 157 1436 1458 4013 % 12.96/13.14 4015. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (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 (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 4000 4012 4014 % 12.96/13.14 4016. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (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) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 4004 2869 3125 4015 % 12.96/13.14 4017. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (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)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (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 (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 4016 236 1524 1104 % 12.96/13.14 4018. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 136 514 2329 4017 % 12.96/13.14 4019. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.14 4020. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (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)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 4018 4019 229 % 12.96/13.14 4021. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (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 (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 200 4020 930 % 12.96/13.14 4022. (((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 (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 3998 1136 4008 4021 % 12.96/13.14 4023. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.96/13.14 4024. ((op (e1) (e0)) != (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))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((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)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e1) (e0)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (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) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (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 (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) ### DisjTree 3997 256 4022 4023 % 12.96/13.14 4025. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e0) (e0)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) (((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 (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ### Or 4024 3125 % 12.96/13.14 4026. ((op (e1) (e0)) != (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))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((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)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (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) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (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)) != (op (e1) (e1))) ((op (e0) (e0)) != (e0)) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((op (e1) (e0)) = (e1)) ### Or 3996 4025 % 12.96/13.14 4027. (((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (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) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ### Or 4026 1983 % 12.96/13.14 4028. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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)) != (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))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((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)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (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) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (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)) != (op (e1) (e1))) ### ConjTree 4027 % 12.96/13.14 4029. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.14 4030. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4031. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 1466 48 1458 4030 % 12.96/13.14 4032. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.14 4033. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 53 178 2591 % 12.96/13.14 4034. (((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)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 1288 48 4033 % 12.96/13.14 4035. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4036. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ### DisjTree 1360 630 1458 4035 % 12.96/13.14 4037. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4038. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) (((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)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 638 4034 1458 4037 % 12.96/13.14 4039. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4040. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e1)) (((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)) != (op (e2) (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))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 4036 4038 4039 363 % 12.96/13.14 4041. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) (((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)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 4031 743 4034 4040 % 12.96/13.14 4042. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 4031 743 178 4003 % 12.96/13.14 4043. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4044. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ### DisjTree 1360 48 1458 4043 % 12.96/13.14 4045. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.96/13.14 4046. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ### DisjTree 4045 602 4014 1481 % 12.96/13.14 4047. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 4044 743 178 4046 % 12.96/13.14 4048. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 4031 743 178 4014 % 12.96/13.14 4049. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 4042 4047 1466 4048 % 12.96/13.14 4050. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (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))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((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) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 4032 1136 4041 4049 % 12.96/13.14 4051. ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (e0)) ((op (e1) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 53 4050 2591 % 12.96/13.14 4052. ((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 (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((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)) != (op (e2) (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))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 1288 4031 4051 % 12.96/13.14 4053. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (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))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 53 4042 2591 % 12.96/13.14 4054. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (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))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 1288 4031 4053 % 12.96/13.14 4055. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.14 4056. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e1)) (((op (e1) (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) (e1)) != (e0)) ### DisjTree 4055 1637 4044 1170 % 12.96/13.14 4057. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e1)) = (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)))))))) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 464 1288 4056 2636 % 12.96/13.14 4058. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e1) (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)))))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (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)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ((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)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 4052 4054 4057 % 12.96/13.14 4059. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.96/13.14 4060. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((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)) != (op (e2) (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))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) ((e0) != (e2)) (((op (e1) (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)))))))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 4029 4058 4059 % 12.96/13.14 4061. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) (((op (e1) (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)))))))) ((e0) != (e2)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (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)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (e0)) ((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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 4060 464 % 12.96/13.14 4062. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((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)) != (op (e2) (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))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e3)) ((e0) != (e2)) (((op (e1) (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)))))))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### ConjTree 4061 % 12.96/13.14 4063. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom % 12.96/13.14 4064. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.96/13.14 4065. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.96/13.14 4066. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4067. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 3015 42 4065 4066 % 12.96/13.14 4068. (((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)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (e0)) ### DisjTree 4064 346 788 4067 % 12.96/13.14 4069. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 4068 747 72 674 % 12.96/13.14 4070. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 421 1104 581 1425 % 12.96/13.14 4071. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.96/13.14 4072. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4073. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### DisjTree 788 1436 4071 4072 % 12.96/13.14 4074. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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 4070 653 4073 783 % 12.96/13.14 4075. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (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 (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 1193 4067 4074 % 12.96/13.14 4076. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### DisjTree 4068 61 641 4075 % 12.96/13.14 4077. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (e0)) ((e1) != (e3)) ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 127 4076 930 % 12.96/13.14 4078. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4079. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 514 2590 229 % 12.96/13.14 4080. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e0)) ((e0) != (e2)) ((op (e3) (e2)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 72 1104 1184 1425 % 12.96/13.14 4081. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 4073 638 4080 294 % 12.96/13.14 4082. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (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 4070 653 4081 783 % 12.96/13.14 4083. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (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 (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 4079 1193 4067 4082 % 12.96/13.14 4084. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.14 4085. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.96/13.14 4086. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 454 4083 4084 4085 % 12.96/13.14 4087. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (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 (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e2)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 674 1126 4078 4086 % 12.96/13.14 4088. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.96/13.14 4089. (((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)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 4088 65 157 4067 % 12.96/13.14 4090. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((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 (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 4077 1117 4087 4089 % 12.96/13.14 4091. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) (((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)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 4069 1769 641 4090 % 12.96/13.15 4092. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 514 2590 4091 % 12.96/13.15 4093. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (((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)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 127 4092 930 % 12.96/13.15 4094. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 181 127 4079 930 % 12.96/13.15 4095. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 4093 4077 4094 % 12.96/13.15 4096. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.96/13.15 4097. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom % 12.96/13.15 4098. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (((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)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1983 4095 4096 4097 % 12.96/13.15 4099. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (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))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 4098 377 % 12.96/13.15 4100. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (((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)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 4099 1458 % 12.96/13.15 4101. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) != (e0)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (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))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ((op (e1) (e2)) = (e1)) ### Or 4063 4100 % 12.96/13.15 4102. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (((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)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### Or 4101 181 % 12.96/13.15 4103. ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (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))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 4102 % 12.96/13.15 4104. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 3994 % 12.96/13.15 4105. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 2590 % 12.96/13.15 4106. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 3994 % 12.96/13.15 4107. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.96/13.15 4108. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ### Or 4107 935 % 12.96/13.15 4109. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) ### ConjTree 4108 % 12.96/13.15 4110. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 12.96/13.15 4111. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ### Or 4110 377 % 12.96/13.15 4112. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ### ConjTree 4111 % 12.96/13.15 4113. (((op (e3) (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) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) ### ConjTree 3994 % 12.96/13.15 4114. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (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 (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 (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ### DisjTree 2852 3094 2222 3995 4028 4062 4103 4104 4105 2330 2415 4106 3165 4109 4112 4113 % 12.96/13.15 4115. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (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) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((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)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (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 (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((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)) = (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)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (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 (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 4114 % 12.96/13.15 4116. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.15 4117. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.15 4118. (((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 (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 1721 358 4117 % 12.96/13.15 4119. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.15 4120. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 1481 756 377 2042 % 12.96/13.15 4121. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.96/13.15 4122. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 2195 4121 940 954 % 12.96/13.15 4123. (((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)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 262 4120 508 4122 % 12.96/13.15 4124. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((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)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((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)) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 454 562 4119 4123 % 12.96/13.15 4125. (((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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 955 4124 930 % 12.96/13.15 4126. (((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 (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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (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)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (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) (e0)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 793 4116 4118 4125 % 12.96/13.15 4127. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 955 495 930 % 12.96/13.15 4128. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (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)))))))) ### DisjTree 2670 955 2109 930 % 12.96/13.15 4129. (((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))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((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 (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (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 (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((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 (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 2941 4126 4127 4128 % 12.96/13.15 4130. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) (((op (e0) (e0)) = (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))))) ((e0) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (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)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 4129 4122 % 12.96/13.15 4131. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((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 (e1) (e1)) != (op (e1) (e2))) ((op (e2) (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 (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((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 (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))) ### Or 4130 236 % 12.96/13.15 4132. (((op (e0) (e0)) = (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))))) ((e0) != (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (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)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 4131 % 12.96/13.15 4133. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) != (op (e1) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 1791 % 12.96/13.15 4134. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.96/13.15 4135. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 630 41 2329 120 % 12.96/13.15 4136. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 12.96/13.15 4137. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.15 4138. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 1466 1436 4136 4137 % 12.96/13.15 4139. (((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)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 4134 4135 4138 % 12.96/13.15 4140. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.96/13.15 4141. (((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)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 4140 41 4138 % 12.96/13.15 4142. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.96/13.15 4143. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 4142 178 545 % 12.96/13.15 4144. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.96/13.15 4145. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 4144 413 545 % 12.96/13.15 4146. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 4143 4141 4135 4145 % 12.96/13.15 4147. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (op (e3) (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))))) ### DisjTree 4139 53 4141 4146 % 12.96/13.15 4148. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom % 12.96/13.15 4149. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 12.96/13.15 4150. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (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 (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 4147 562 4148 4149 % 12.96/13.15 4151. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.96/13.15 4152. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom % 12.96/13.15 4153. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (op (e3) (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 (e1) (e1)) != (op (e1) (e2))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 4150 208 4151 4152 % 12.96/13.15 4154. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ### Or 4153 377 % 12.96/13.15 4155. (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e2)) != (e1)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e3) (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 (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ### Or 4154 1458 % 12.96/13.15 4156. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((e2) != (e3)) (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (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)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) ### Or 4155 61 % 12.96/13.15 4157. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 (e1) (e3)) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((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) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ### ConjTree 4156 % 12.96/13.15 4158. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 12.96/13.15 4159. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ### Or 4158 2564 % 12.96/13.15 4160. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ### ConjTree 4159 % 12.96/13.15 4161. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (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 (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ### DisjTree 4132 4133 4157 3995 1766 1500 1769 1771 4105 2330 2415 4106 4160 1824 4112 4113 % 12.96/13.15 4162. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (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)) != (op (e2) (e3))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (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 (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((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 (e0) (e0)) != (op (e0) (e1))) ((e1) != (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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (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 (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) /\ ((((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) /\ (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0)))))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 4161 % 12.96/13.16 4163. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom % 12.96/13.16 4164. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ### ConjTree 4163 % 12.96/13.16 4165. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 12.96/13.16 4166. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 4165 % 12.96/13.16 4167. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom % 12.96/13.16 4168. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 4167 % 12.96/13.16 4169. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 12.96/13.16 4170. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 12.96/13.16 4171. (((op (e3) (e0)) != (e3)) \/ ((op (e3) (e3)) = (e0))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) = (e3)) ### Or 4169 4170 % 12.96/13.16 4172. (((op (e0) (e0)) = (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 (e3) (e0)) = (e3)) ((op (e3) (e3)) != (e0)) ### ConjTree 4171 % 12.96/13.16 4173. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom % 12.96/13.16 4174. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.16 4175. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 1136 4174 57 815 % 12.96/13.16 4176. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e0)) ### Or 4173 4175 % 12.96/13.16 4177. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 4176 % 12.96/13.16 4178. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 4171 % 12.96/13.16 4179. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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 4171 % 12.96/13.16 4180. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.16 4181. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 1136 4180 140 815 % 12.96/13.16 4182. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### ConjTree 4181 % 12.96/13.16 4183. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.16 4184. (((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) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 2869 747 1678 3782 % 12.96/13.16 4185. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 4184 236 1524 1104 % 12.96/13.16 4186. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 200 514 1678 4185 % 12.96/13.16 4187. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### DisjTree 4175 4186 1181 964 % 12.96/13.16 4188. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 4183 4187 389 % 12.96/13.16 4189. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.16 4190. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (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))))) ### DisjTree 1525 514 1678 106 % 12.96/13.16 4191. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) = (e2)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1493 747 4190 % 12.96/13.16 4192. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e2) != (e3)) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((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) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 4191 1181 964 % 12.96/13.16 4193. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (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 (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 4189 4192 389 % 12.96/13.16 4194. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (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) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e1) (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) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (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 (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 4188 4193 3560 % 12.96/13.16 4195. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 12.96/13.16 4196. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.16 4197. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 12.96/13.16 4198. (((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)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ### DisjTree 338 236 641 1112 % 12.96/13.16 4199. (((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)) = (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e2)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((e1) != (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)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 906 4198 77 1448 % 12.96/13.16 4200. (((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)) = (e1)) (((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))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 4196 1493 4197 4199 % 12.96/13.16 4201. (((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))) ((e0) != (e1)) ((op (e1) (e2)) != (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)) = (e2)) ((e1) != (e2)) ((e2) != (e3)) ((e0) != (e3)) ((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) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### DisjTree 4175 4200 618 1780 % 12.96/13.16 4202. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### DisjTree 4175 200 618 1780 % 12.96/13.16 4203. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 12.96/13.16 4204. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1924 852 1678 106 % 12.96/13.16 4205. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 739 1493 747 4204 % 12.96/13.16 4206. (((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)) != (op (e1) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((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) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 4205 4191 1181 964 % 12.96/13.16 4207. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (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) (e0)) != (op (e2) (e1))) ((op (e0) (e2)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((e0) != (e1)) ((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 4201 4203 4206 389 % 12.96/13.16 4208. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((e0) != (e1)) ((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 4201 4202 4207 1803 % 12.96/13.16 4209. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 4194 256 4195 4208 % 12.96/13.16 4210. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e1) (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) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (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 (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 4209 852 % 12.96/13.16 4211. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e3)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ### Or 4210 4175 % 12.96/13.16 4212. (((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)))))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e1) (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) != (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)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (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 (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 4211 % 12.96/13.16 4213. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 12.96/13.16 4214. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ### DisjTree 4213 756 144 660 % 12.96/13.16 4215. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom % 12.96/13.16 4216. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 12.96/13.16 4217. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) != (e3)) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ### DisjTree 4215 751 144 4216 % 12.96/13.16 4218. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (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) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 4214 4217 1184 986 % 12.96/13.16 4219. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (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 (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 4218 660 % 12.96/13.16 4220. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (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) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e2)) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ### Or 4219 236 % 12.96/13.16 4221. (((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (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 (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ### Or 4220 873 % 12.96/13.16 4222. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (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 (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ### ConjTree 4221 % 12.96/13.16 4223. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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 4171 % 12.96/13.16 4224. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) = (e3)) ### DisjTree 4172 3036 4177 3070 4178 1637 3522 3525 4179 4182 4212 4222 4223 1113 1984 661 % 12.96/13.16 4225. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (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)) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (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) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 4224 % 12.96/13.16 4226. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 12.96/13.16 4227. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.16 4228. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### DisjTree 788 906 4227 831 % 12.96/13.16 4229. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e0)) ### Or 4226 4228 % 12.96/13.16 4230. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 4229 % 12.96/13.16 4231. (((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))) ((e0) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 537 638 1851 298 % 12.96/13.16 4232. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) ((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 (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 53 4231 389 % 12.96/13.16 4233. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.96/13.16 4234. (((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 (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ### DisjTree 1360 747 4233 3782 % 12.96/13.16 4235. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.16 4236. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 12.96/13.16 4237. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e3) (e2)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (e2)) ### DisjTree 4235 4236 1931 1459 % 12.96/13.16 4238. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (e2)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((op (e2) (e2)) = (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 537 743 178 4237 % 12.96/13.16 4239. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (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))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 873 4234 4238 196 % 12.96/13.16 4240. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.16 4241. (((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)) = (e3)) (((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 (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 4239 4240 964 % 12.96/13.16 4242. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 4228 53 4241 389 % 12.96/13.16 4243. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (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))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((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 1403 1288 4232 4242 % 12.96/13.16 4244. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 12.96/13.16 4245. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (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))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 873 4234 537 981 % 12.96/13.16 4246. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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 (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 4228 53 4245 389 % 12.96/13.16 4247. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (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))))) ((op (e0) (e0)) != (op (e3) (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 (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 4228 1288 4246 1803 % 12.96/13.16 4248. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (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))))) ((e1) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) ((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 (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (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))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 4243 4244 1466 4247 % 12.96/13.16 4249. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (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))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((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))) ((e0) != (e1)) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 4248 68 % 12.96/13.16 4250. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((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))))) ((e1) != (e3)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) ((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 (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((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)) != (op (e2) (e0))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ### Or 4249 4228 % 12.96/13.16 4251. (((op (e1) (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)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (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))) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 4250 % 12.96/13.16 4252. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 12.96/13.16 4253. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) ((op (e2) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### DisjTree 788 747 4252 294 % 12.96/13.16 4254. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 831 641 1851 4253 % 12.96/13.16 4255. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### ConjTree 4254 % 12.96/13.16 4256. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 3015 545 4217 298 % 12.96/13.16 4257. (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) = (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### Or 4256 660 % 12.96/13.16 4258. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 4257 % 12.96/13.16 4259. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op 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!= (op (e3) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) (-. 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(e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 4259 % 12.96/13.16 4261. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom % 12.96/13.16 4262. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ### ConjTree 4261 % 12.96/13.16 4263. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom % 12.96/13.16 4264. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 12.96/13.16 4265. (((op (e3) (e1)) != (e3)) \/ ((op (e3) (e3)) = (e1))) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) = (e3)) ### Or 4263 4264 % 12.96/13.16 4266. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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 4265 % 12.96/13.16 4267. (((op (e1) (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 (e3) (e1)) = (e3)) ((op (e3) (e3)) != (e1)) ### ConjTree 4265 % 12.96/13.16 4268. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom % 12.96/13.16 4269. (((op (e1) (e2)) != (e1)) \/ ((op (e1) (e1)) = (e2))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ### Or 4268 1148 % 12.96/13.16 4270. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (e0)) ### ConjTree 4269 % 12.96/13.17 4271. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 12.96/13.17 4272. (((op (e1) (e3)) != (e1)) \/ ((op (e1) (e1)) = (e3))) ((op (e3) (e1)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e3)) = (e1)) ### Or 4271 2201 % 12.96/13.17 4273. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e1))) ((op (e3) (e1)) = (e3)) ### ConjTree 4272 % 12.96/13.17 4274. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### ConjTree 3785 % 13.05/13.17 4275. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 4265 % 13.05/13.17 4276. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 13.05/13.17 4277. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 13.05/13.17 4278. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 13.05/13.17 4279. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 13.05/13.17 4280. (((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 (e2) (e1)) = (e1)) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 403 1117 1931 1432 % 13.05/13.17 4281. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e2) (e1)) = (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))))) ### DisjTree 4280 670 303 1112 % 13.05/13.17 4282. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((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 (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 200 1493 4281 653 % 13.05/13.17 4283. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (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))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 4279 4282 1157 1193 % 13.05/13.17 4284. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ((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 (e3) (e3)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 1837 4278 4283 567 % 13.05/13.17 4285. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e0)) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 4284 1454 1931 1432 % 13.05/13.17 4286. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 4285 1148 1678 1104 % 13.05/13.17 4287. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1403 4276 4277 4286 % 13.05/13.17 4288. (((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 4287 692 % 13.05/13.17 4289. (((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)))))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((e0) != (e2)) ((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 (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ### ConjTree 4288 % 13.05/13.17 4290. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 13.05/13.17 4291. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e2)) = (e2)) ((e1) != (e2)) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 670 653 1184 4290 % 13.05/13.17 4292. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 4291 % 13.05/13.17 4293. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 1112 % 13.05/13.17 4294. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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 4265 % 13.05/13.17 4295. 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(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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) 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(((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) = (e3)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ### DisjTree 2941 4266 3746 3061 3747 4267 4270 4273 4274 4275 4289 4292 4293 4294 3182 701 % 13.05/13.17 4296. 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(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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 4295 % 13.05/13.17 4297. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom % 13.05/13.17 4298. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 4297 % 13.05/13.17 4299. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 13.05/13.17 4300. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 13.05/13.17 4301. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 441 1105 4300 421 % 13.05/13.17 4302. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom % 13.05/13.17 4303. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 13.05/13.17 4304. (((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 (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (e2)) ### DisjTree 4302 4303 77 930 % 13.05/13.17 4305. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (e2)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 200 4301 4304 % 13.05/13.17 4306. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 4299 178 4305 % 13.05/13.17 4307. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 13.05/13.17 4308. (((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) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1108 53 41 204 % 13.05/13.17 4309. (((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)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 4308 1493 212 216 % 13.05/13.17 4310. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((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) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((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) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 4309 630 1193 % 13.05/13.17 4311. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) (((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)) != (op (e2) (e2))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 1131 4310 196 % 13.05/13.17 4312. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (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) (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) (e0)) != (op (e0) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 4307 178 4311 % 13.05/13.17 4313. (((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) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 4306 48 4312 % 13.05/13.17 4314. (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) (((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))))) ### Or 4313 68 % 13.05/13.17 4315. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 13.05/13.17 4316. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e1)) ### Or 4315 1108 % 13.05/13.17 4317. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ### DisjTree 4316 1493 41 653 % 13.05/13.17 4318. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((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 (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 4317 178 4309 % 13.05/13.17 4319. (((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))))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 1108 48 4318 % 13.05/13.17 4320. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) (((op (e2) (e0)) != (e2)) \/ ((op (e2) (e2)) = (e0))) ### Or 4314 4319 % 13.05/13.17 4321. (((op (e0) (e0)) = (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))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) (((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)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) (((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))))) ### ConjTree 4320 % 13.05/13.17 4322. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom % 13.05/13.17 4323. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 1157 41 4322 1126 % 13.05/13.17 4324. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### ConjTree 4323 % 13.05/13.17 4325. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom % 13.05/13.17 4326. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 262 653 1436 4325 % 13.05/13.17 4327. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 4326 % 13.05/13.17 4328. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (e2)) ((e0) != (e2)) ((e1) != (e2)) ### ConjTree 4316 % 13.05/13.17 4329. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) 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((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 4329 % 13.05/13.17 4331. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom % 13.05/13.17 4332. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ### ConjTree 4331 % 13.05/13.17 4333. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom % 13.05/13.17 4334. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 13.05/13.17 4335. (((op (e3) (e2)) != (e3)) \/ ((op (e3) (e3)) = (e2))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ### Or 4333 4334 % 13.05/13.17 4336. (((op (e0) (e2)) = (e0)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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 4335 % 13.05/13.17 4337. (((op (e1) (e0)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### ConjTree 3169 % 13.05/13.17 4338. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom % 13.05/13.17 4339. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom % 13.05/13.17 4340. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e2)) != (e0)) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e3)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 333 743 510 363 % 13.05/13.17 4341. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) = (e1)) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e1) != (e2)) ((op (e0) (e2)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((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)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 181 4340 358 298 % 13.05/13.17 4342. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 13.05/13.17 4343. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 1481 756 4342 2042 % 13.05/13.17 4344. (((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) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 262 4343 508 1837 % 13.05/13.17 4345. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (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))))) ((e2) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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 (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 692 53 4341 4344 % 13.05/13.17 4346. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e1)) ((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)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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 (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 326 4338 4339 4345 % 13.05/13.17 4347. (((op (e0) (e1)) != (e0)) \/ ((op (e0) (e0)) = (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((e0) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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 (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### Or 4346 692 % 13.05/13.17 4348. (((op (e1) (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)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e1)) ((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)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((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 (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ### ConjTree 4347 % 13.05/13.17 4349. (((op (e1) (e2)) = (e1)) /\ (((op (e2) (e1)) = (e1)) /\ ((((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 4335 % 13.05/13.17 4350. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 13.05/13.17 4351. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 1788 106 469 4350 % 13.05/13.17 4352. (((op (e1) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### ConjTree 4351 % 13.05/13.17 4353. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom % 13.05/13.17 4354. (((op (e2) (e1)) != (e2)) \/ ((op (e2) (e2)) = (e1))) ((op (e0) (e2)) != (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((e0) != (e1)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e1)) = (e2)) ### Or 4353 509 % 13.05/13.17 4355. (((op (e2) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e2)) != (e0)) ### ConjTree 4354 % 13.05/13.17 4356. (((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)))))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e2)) ### ConjTree 4335 % 13.05/13.17 4357. (((op (e2) (e3)) = (e2)) /\ (((op (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e3) (e2))) ((op (e3) (e2)) = (e3)) ### ConjTree 1001 % 13.05/13.17 4358. (((op (e3) (e0)) = (e3)) /\ (((op (e0) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 298 % 13.05/13.17 4359. (((op (e3) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 3181 % 13.05/13.17 4360. (((op (e3) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 4335 % 13.05/13.17 4361. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (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 (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (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 (e1) (e0)) != (op (e1) (e1))) (((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 (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (e0)) ((e2) != (e3)) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ### DisjTree 2670 2673 4336 2678 4337 4348 4349 4352 2682 4355 4356 4357 4358 4359 4360 2066 % 13.05/13.17 4362. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((e0) != (e1)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 4361 % 13.05/13.17 4363. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 13.05/13.17 4364. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 13.05/13.17 4365. (((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) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 346 4364 102 311 % 13.05/13.17 4366. (((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)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (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 (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1983 4365 354 884 % 13.05/13.17 4367. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (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 (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 127 3171 4366 % 13.05/13.17 4368. (((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 (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 1481 204 844 3181 % 13.05/13.17 4369. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (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 4368 1275 363 783 % 13.05/13.17 4370. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 13.05/13.17 4371. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((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 (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 4369 756 4370 2042 % 13.05/13.17 4372. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (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 (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (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) != (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 1403 4363 4367 4371 % 13.05/13.17 4373. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((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) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (e1)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 326 127 495 4366 % 13.05/13.17 4374. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom % 13.05/13.17 4375. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 13.05/13.17 4376. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (e1)) ### DisjTree 4374 367 4375 216 % 13.05/13.17 4377. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (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 (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ### DisjTree 1403 4372 4373 4376 % 13.05/13.17 4378. (((op (e1) (e0)) != (e1)) \/ ((op (e1) (e1)) = (e0))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (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 (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (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) != (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) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### Or 4377 852 % 13.05/13.17 4379. (((op (e0) (e0)) = (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 (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (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 (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ### ConjTree 4378 % 13.05/13.18 4380. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom % 13.05/13.18 4381. (((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) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ### DisjTree 65 4380 102 311 % 13.05/13.18 4382. (((op (e0) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) != (op (e1) (e2))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (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))))) ### ConjTree 4381 % 13.05/13.18 4383. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 13.05/13.18 4384. (((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 (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 229 844 469 4383 % 13.05/13.18 4385. (((op (e0) (e3)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 (e1) (e1)) != (op (e3) (e1))) ((op (e1) (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))))) ### ConjTree 4384 % 13.05/13.18 4386. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom % 13.05/13.18 4387. (((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 (e1) (e1)) = (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 72 844 469 4386 % 13.05/13.18 4388. (((op (e2) (e0)) = (e2)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (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))))) ### ConjTree 4387 % 13.05/13.18 4389. ((((op (e0) (e0)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((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)) = (e0)) /\ (((op (e3) (e0)) = (e0)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) = (e1)) /\ (((op (e0) (e1)) = (e1)) /\ ((((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 (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 (e2) (e1)) = (e1)) /\ ((((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) (e3)) = (e1)) /\ (((op (e3) (e1)) = (e1)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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)) /\ (((op (e0) (e2)) = (e2)) /\ ((((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) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e2)) /\ ((((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 (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 (e3) (e2)) = (e2)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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 (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (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 (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (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) != (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) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 4379 4382 4336 4385 1056 1057 1059 1062 4388 1067 4356 4357 4358 4359 4360 2066 % 13.05/13.18 4390. 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(((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op 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(((op (e0) (e3)) = (e3)) /\ ((((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) (e1)) = (e3)) /\ (((op (e1) (e3)) = (e3)) /\ ((((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) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e3)) /\ ((((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 (e3) (e3)) = (e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((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 4389 % 13.05/13.18 4391. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom % 13.05/13.18 4392. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 4391 % 13.05/13.18 4393. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom % 13.05/13.18 4394. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ### ConjTree 4393 % 13.05/13.18 4395. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 13.05/13.18 4396. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ### ConjTree 4395 % 13.05/13.18 4397. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 13.05/13.18 4398. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ### ConjTree 4397 % 13.05/13.18 4399. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 13.05/13.18 4400. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ### ConjTree 4399 % 13.05/13.18 4401. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom % 13.05/13.18 4402. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 4401 % 13.05/13.18 4403. 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(((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (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)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (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)) = (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) (e1)) = (e0)) /\ (((op (e1) (e0)) = (e0)) /\ ((((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)) /\ (((op (e2) (e0)) = (e0)) /\ ((((op (e0) (e2)) != (e0)) \/ ((op (e0) (e0)) = (e2))) /\ ((((op (e1) (e2)) != (e1)) \/ ((op (e1) 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(e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (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) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 2 4 6 8 10 12 730 1036 1038 1395 1397 1750 1752 1830 1902 1904 1906 1908 2184 2661 2663 2665 2667 2669 2846 2848 2850 3091 3247 3249 3506 3508 3510 3619 3621 3739 3902 3904 3906 3983 3985 3987 3989 3991 4115 4162 4164 4166 4168 4225 4260 4262 4296 4298 4330 4332 4362 4390 4392 4394 4396 4398 4400 4402 % 13.07/13.18 4404. 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(e3)) /\ ((((op (e0) (e3)) != (e0)) \/ ((op (e0) (e0)) = (e3))) /\ ((((op (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))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (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)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e3)) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (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 (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### And 4403 % 13.07/13.18 4405. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (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)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (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)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (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) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (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) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (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))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((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)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((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) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((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) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ 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((((op (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) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (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))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((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 (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (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)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((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 (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (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))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ### ConjTree 4405 % 13.07/13.19 4407. 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(e3)) = (e3)))))))))))))))))))))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e3) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e2) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e1) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e1) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e0) = (op (e2) (e2))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e3) = (op (e0) (e0))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e2) = (op (e1) (e1))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e0) = (op (e3) (op (e3) (e3)))) /\ (((e1) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e2) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e1) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e2) = (op (e3) (e3))) /\ ((e0) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e2) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (op (e0) (e0)))) /\ (((e1) = (op (e0) (e0))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e1) = (op (e2) (op (e2) (e2)))) /\ (((e3) = (op (e2) (e2))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e1) = (op (e3) (op (e3) (e3)))) /\ (((e0) = (op (e3) (e3))) /\ ((e2) = (op (op (e3) (op (e3) (e3))) (e3)))))) (-. (((e3) = (op (e1) (op (e1) (e1)))) /\ (((e0) = (op (e1) (e1))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) /\ ((((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) /\ ((((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) /\ ((((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) /\ (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))) ### ConjTree 4407 % 13.07/13.19 % SZS output end Proof % 13.07/13.19 (* END-PROOF *) %------------------------------------------------------------------------------