%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG055+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 : n020.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 18:04:54 EDT 2022 % Result : Theorem 277.43s 277.65s % Output : Proof 277.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : ALG055+1 : TPTP v8.1.0. Released v2.7.0. % 0.08/0.15 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.15/0.36 % Computer : n020.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Wed Jun 8 19:45:51 EDT 2022 % 0.15/0.37 % CPUTime : % 277.43/277.65 % SZS status Theorem % 277.43/277.65 (* PROOF-FOUND *) % 277.43/277.65 (* BEGIN-PROOF *) % 277.43/277.65 % SZS output start Proof % 277.43/277.65 1. ((op (e0) (e4)) = (e0)) ((op (e0) (e4)) != (e0)) ### Axiom % 277.43/277.65 2. ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (e4)) ### Sym(=) % 277.43/277.65 3. ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (e4)) ### Sym(=) % 277.43/277.65 4. ((op (op (e2) (e2)) (op (e2) (e2))) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ### NotEqual 2 3 % 277.43/277.65 5. ((op (e0) (e4)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e0) (e4)) = (e0)) ### Trans 1 4 % 277.43/277.65 6. ((op (e0) (e4)) = (e1)) ((op (e0) (e4)) != (e1)) ### Axiom % 277.43/277.65 7. ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (op (e2) (e2))) != (e3)) ### Sym(=) % 277.43/277.65 8. ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (e4)) ### Sym(=) % 277.43/277.65 9. ((op (op (e2) (op (e2) (e2))) (op (e2) (e2))) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ### NotEqual 7 8 % 277.43/277.65 10. ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e0) (e4)) = (e1)) ### Trans 6 9 % 277.43/277.65 11. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom % 277.43/277.65 12. ((op (e1) (e4)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e1) (e4)) = (e0)) ### Trans 11 4 % 277.43/277.65 13. ((op (e1) (e4)) = (e1)) ((op (e1) (e4)) != (e1)) ### Axiom % 277.43/277.65 14. ((op (e1) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e1) (e4)) = (e1)) ### Trans 13 9 % 277.43/277.65 15. ((op (e4) (e0)) = (e0)) ((op (e4) (e0)) != (e0)) ### Axiom % 277.43/277.65 16. ((op (e4) (e0)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e0)) = (e0)) ### Trans 15 4 % 277.43/277.65 17. ((e4) != (e4)) ### NotEqual % 277.43/277.65 18. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 277.43/277.65 19. ((op (e4) (e0)) != (op (e4) (unit))) ((unit) = (e0)) ### NotEqual 17 18 % 277.43/277.65 20. ((op (e0) (e0)) = (e4)) ((e4) != (op (e0) (e0))) ### Sym(=) % 277.43/277.65 21. ((op (e0) (e0)) = (e4)) ((e4) != (op (e0) (e0))) ### Sym(=) % 277.43/277.65 22. ((op (e0) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) = (e4)) ((unit) = (e0)) ### TransEq-sym 19 20 21 % 277.43/277.65 23. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 277.43/277.65 24. ((op (e0) (e4)) != (op (unit) (e4))) ((unit) = (e0)) ### NotEqual 23 17 % 277.43/277.65 25. ((op (e0) (e1)) = (e4)) ((e4) != (op (e0) (e1))) ### Sym(=) % 277.43/277.65 26. ((op (e0) (e1)) = (e4)) ((e4) != (op (e0) (e1))) ### Sym(=) % 277.43/277.65 27. ((op (e0) (e1)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e1)) = (e4)) ((unit) = (e0)) ### TransEq-sym 24 25 26 % 277.43/277.65 28. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom % 277.43/277.65 29. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 277.43/277.65 30. ((op (e0) (e2)) != (op (e2) (e2))) ((e4) = (op (e2) (e2))) ((op (e0) (e2)) = (e4)) ### Trans 28 29 % 277.43/277.65 31. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3))) ### Sym(=) % 277.43/277.65 32. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3))) ### Sym(=) % 277.43/277.65 33. ((op (e0) (e3)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e3)) = (e4)) ((unit) = (e0)) ### TransEq-sym 24 31 32 % 277.43/277.65 34. ((op (e1) (e0)) = (e4)) ((e4) != (op (e1) (e0))) ### Sym(=) % 277.43/277.65 35. ((op (e1) (e0)) = (e4)) ((e4) != (op (e1) (e0))) ### Sym(=) % 277.43/277.65 36. ((op (e1) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e0)) = (e4)) ((unit) = (e0)) ### TransEq-sym 19 34 35 % 277.43/277.65 37. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=) % 277.43/277.65 38. ((op (e1) (e4)) != (op (unit) (e4))) ((unit) = (e1)) ### NotEqual 37 17 % 277.43/277.65 39. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 277.43/277.65 40. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 277.43/277.65 41. ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e1)) ### TransEq-sym 38 39 40 % 277.43/277.65 42. ((unit) = (e2)) ((e2) != (unit)) ### Sym(=) % 277.43/277.65 43. ((op (e4) (e2)) != (op (e4) (unit))) ((unit) = (e2)) ### NotEqual 17 42 % 277.43/277.65 44. ((e4) = (op (e2) (e2))) ((e4) != (op (e2) (e2))) ### Axiom % 277.43/277.65 45. ((e4) = (op (e2) (e2))) ((e4) != (op (e2) (e2))) ### Axiom % 277.43/277.65 46. ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((e4) = (op (e2) (e2))) ((unit) = (e2)) ### TransEq-sym 43 44 45 % 277.43/277.65 47. ((unit) = (e3)) ((e3) != (unit)) ### Sym(=) % 277.43/277.65 48. ((op (e3) (e4)) != (op (unit) (e4))) ((unit) = (e3)) ### NotEqual 47 17 % 277.43/277.65 49. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 277.43/277.65 50. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 277.43/277.65 51. ((op (e0) (e4)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e3)) ### TransEq-sym 48 49 50 % 277.43/277.65 52. ((unit) = (e4)) ((e4) != (unit)) ### Sym(=) % 277.43/277.65 53. ((op (e4) (e4)) != (op (e4) (unit))) ((unit) = (e4)) ### NotEqual 17 52 % 277.43/277.65 54. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 277.43/277.65 55. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 277.43/277.65 56. ((op (e0) (e4)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e4)) ### TransEq-sym 53 54 55 % 277.43/277.65 57. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e1) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e1) (e0)) != (op (e4) (e0))) ### DisjTree 36 41 46 51 56 % 277.43/277.65 58. ((e1) != (e1)) ### NotEqual % 277.43/277.65 59. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 277.43/277.65 60. ((op (e1) (e0)) != (op (e1) (unit))) ((unit) = (e0)) ### NotEqual 58 59 % 277.43/277.65 61. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 277.43/277.65 62. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=) % 277.43/277.65 63. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (unit)) = (e1)) ((op (e2) (e0)) = (e1)) ((unit) = (e0)) ### TransEq 60 61 62 % 277.43/277.65 64. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((op (e4) (unit)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e2) (e0)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 63 41 46 51 56 % 277.43/277.65 65. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 277.43/277.65 66. ((op (e0) (e1)) != (op (unit) (e1))) ((unit) = (e0)) ### NotEqual 65 58 % 277.43/277.65 67. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 277.43/277.65 68. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=) % 277.43/277.65 69. ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ((unit) = (e0)) ### TransEq 66 67 68 % 277.43/277.65 70. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((op (e4) (unit)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e2) (e1)) = (e1)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ### DisjTree 69 41 46 51 56 % 277.43/277.65 71. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 277.43/277.65 72. ((e1) != (e4)) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ### Trans-sym 17 71 % 277.43/277.65 73. ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (e3)) ### Axiom % 277.43/277.65 74. ((e2) != (e2)) ### NotEqual % 277.43/277.65 75. ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (e4)) ### Sym(=) % 277.43/277.65 76. ((op (e2) (op (e2) (e2))) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ### NotEqual 74 75 % 277.43/277.65 77. ((op (e2) (e0)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e2) (e0)) = (e3)) ### Trans 73 76 % 277.43/277.65 78. ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (e3)) ### Axiom % 277.43/277.65 79. ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ### Trans 78 76 % 277.43/277.65 80. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 277.43/277.65 81. ((e3) != (e4)) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ### Trans-sym 17 80 % 277.43/277.65 82. ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (e3)) ### Axiom % 277.43/277.65 83. ((op (e2) (e3)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e2) (e3)) = (e3)) ### Trans 82 76 % 277.43/277.65 84. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 277.43/277.65 85. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 277.43/277.65 86. (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit))) ((unit) = (e0)) ### And 85 % 277.43/277.65 87. (((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) ((unit) = (e0)) ((op (e0) (e0)) = (e0)) ### Or 84 86 % 277.43/277.65 88. ((((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e1)) != (e0)) \/ (((op (e0) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e2)) != (e0)) \/ (((op (e0) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e3)) != (e0)) \/ (((op (e0) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e4)) != (e0)) \/ (((op (e0) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e0)) != (e0)) \/ (((op (e1) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e1)) != (e0)) \/ (((op (e1) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e2)) != (e0)) \/ (((op (e1) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e3)) != (e0)) \/ (((op (e1) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e4)) != (e0)) \/ (((op (e1) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e0)) != (e0)) \/ (((op (e2) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e1)) != (e0)) \/ (((op (e2) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e2)) != (e0)) \/ (((op (e2) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e3)) != (e0)) \/ (((op (e2) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e4)) != (e0)) \/ (((op (e2) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e0)) != (e0)) \/ (((op (e3) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e1)) != (e0)) \/ (((op (e3) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e2)) != (e0)) \/ (((op (e3) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e3)) != (e0)) \/ (((op (e3) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e4)) != (e0)) \/ (((op (e3) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e0)) != (e0)) \/ (((op (e4) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e1)) != (e0)) \/ (((op (e4) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e2)) != (e0)) \/ (((op (e4) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e3)) != (e0)) \/ (((op (e4) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ (((op (e4) (e4)) != (e0)) \/ (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit)))))))))))))))))))))))))))) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### ConjTree 87 % 277.43/277.65 89. ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (e1)) ### Axiom % 277.43/277.65 90. (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) != (op (e2) (e4))) ### And 79 % 277.43/277.65 91. (((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e2) (e3)) = (e1)) ### Or 89 90 % 277.43/277.65 92. ((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) ((op (e2) (e3)) = (e1)) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) != (op (e2) (e4))) ### ConjTree 91 % 277.43/277.65 93. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 277.43/277.65 94. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 277.43/277.65 95. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 277.43/277.65 96. ((op (e1) (e2)) != (op (e2) (e2))) ((e4) = (op (e2) (e2))) ((op (e1) (e2)) = (e4)) ### Trans 94 95 % 277.43/277.65 97. (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit))) ((e4) = (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ### And 96 % 277.43/277.65 98. (((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) ((op (e1) (e2)) != (op (e2) (e2))) ((e4) = (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ### Or 93 97 % 277.43/277.65 99. ((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) ((op (e1) (e4)) = (e2)) ((e4) = (op (e2) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ### ConjTree 98 % 277.43/277.65 100. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom % 277.43/277.65 101. ((op (e2) (e3)) = (e4)) ((op (e2) (e3)) != (e4)) ### Axiom % 277.43/277.65 102. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 277.43/277.65 103. ((op (e2) (e2)) != (op (e2) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e3)) = (e4)) ### Trans-sym 101 102 % 277.43/277.65 104. (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ### And 103 % 277.43/277.65 105. (((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) ((op (e2) (e2)) != (op (e2) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e4)) = (e3)) ### Or 100 104 % 277.43/277.66 106. ((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) ((op (e2) (e4)) = (e3)) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 105 % 277.43/277.66 107. ((op (e1) (e1)) = (e4)) ((op (e1) (e1)) != (e4)) ### Axiom % 277.43/277.66 108. (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e1) (e4)) != (op (e3) (e4))) ### And 14 % 277.43/277.66 109. (((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) ((op (e1) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e1) (e1)) = (e4)) ### Or 107 108 % 277.43/277.66 110. ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))) ((op (e1) (e1)) = (e4)) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e1) (e4)) != (op (e3) (e4))) ### ConjTree 109 % 277.43/277.66 111. 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/\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ### DisjTree 111 41 46 51 56 % 277.43/277.66 113. 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/\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e1) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e1) (e1)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((op (e2) (e3)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 112 % 277.43/277.66 114. 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/\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (unit)) = (e1)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((e4) = (op (e2) (e2))) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### DisjTree 64 70 72 113 115 % 277.43/277.66 117. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom % 277.43/277.66 118. ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (e3)) ### Axiom % 277.43/277.66 119. ((op (e1) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e1) (e4)) = (e3)) ### Trans 118 76 % 277.43/277.66 120. (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e1) (e4)) != (op (e2) (e4))) ### And 119 % 277.43/277.66 121. (((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) ((op (e1) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e1) (e3)) = (e4)) ### Or 117 120 % 277.43/277.66 122. 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(e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (unit)) = (e1)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((e4) = (op (e2) (e2))) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### DisjTree 64 70 72 125 115 % 277.43/277.66 127. ((op (e1) (e4)) = (e4)) ((e4) != (op (e1) (e4))) ### Sym(=) % 277.43/277.66 128. ((op (e1) (e4)) = (e4)) ((e4) != (op (e1) (e4))) ### Sym(=) % 277.43/277.66 129. ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) = (e4)) ((unit) = (e0)) ### TransEq 24 127 128 % 277.43/277.66 130. ((op (e1) (e4)) = (e4)) ((e4) != (op (e1) (e4))) ### Sym(=) % 277.43/277.66 131. ((op (e1) (e4)) = (e4)) ((e4) != (op (e1) (e4))) ### Sym(=) % 277.43/277.66 132. ((op (e1) (e4)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) = (e4)) ((unit) = (e3)) ### TransEq-sym 48 130 131 % 277.43/277.66 133. ((op (e1) (e4)) = (e4)) ((e4) != (op (e1) (e4))) ### Sym(=) % 277.43/277.66 134. ((op (e1) (e4)) = (e4)) ((e4) != (op (e1) (e4))) ### Sym(=) % 277.43/277.66 135. ((op (e1) (e4)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e1) (e4)) = (e4)) ((unit) = (e4)) ### TransEq-sym 53 133 134 % 277.43/277.66 136. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((op (e4) (unit)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e4)) = (e4)) ((op (e1) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ### DisjTree 129 41 46 132 135 % 277.43/277.66 137. 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((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e1) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((op (e0) (e0)) = (e0)) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1)))))) ((op (e1) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e2) (e2))) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### DisjTree 57 116 96 126 136 % 277.43/277.67 138. 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/\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (unit)) = (e1)) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e3)) != (op (e0) (e4))) ((e4) = (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (unit) (e4)) = (e4)) ((op (e0) (e1)) != (op (e0) (e4))) ((unit) = (e0)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 27 30 33 137 % 277.43/277.67 139. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=) % 277.43/277.67 140. ((op (e4) (e1)) != (op (e4) (unit))) ((unit) = (e1)) ### NotEqual 17 139 % 277.43/277.67 141. ((op (e0) (e1)) = (e4)) ((e4) != (op (e0) (e1))) ### Sym(=) % 277.43/277.67 142. ((op (e0) (e1)) = (e4)) ((e4) != (op (e0) (e1))) ### Sym(=) % 277.43/277.67 143. ((op (e0) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) = (e4)) ((unit) = (e1)) ### TransEq-sym 140 141 142 % 277.43/277.67 144. ((op (e1) (e1)) = (e4)) ((e4) != (op (e1) (e1))) ### Sym(=) % 277.43/277.67 145. ((op (e1) (e1)) = (e4)) ((e4) != (op (e1) (e1))) ### Sym(=) % 277.43/277.67 146. ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) = (e4)) ((unit) = (e1)) ### TransEq-sym 140 144 145 % 277.43/277.67 147. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 277.43/277.67 148. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 277.43/277.67 149. ((op (e2) (e1)) != (op (e2) (e2))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) = (e4)) ### Trans 147 148 % 277.43/277.67 150. ((op (e3) (e1)) = (e4)) ((e4) != (op (e3) (e1))) ### Sym(=) % 277.43/277.67 151. ((op (e3) (e1)) = (e4)) ((e4) != (op (e3) (e1))) ### Sym(=) % 277.43/277.67 152. ((op (e3) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e3) (e1)) = (e4)) ((unit) = (e1)) ### TransEq-sym 140 150 151 % 277.43/277.67 153. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=) % 277.43/277.67 154. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=) % 277.43/277.67 155. ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e4) (e1)) = (e4)) ((unit) = (e0)) ### TransEq 19 153 154 % 277.43/277.67 156. ((op (e4) (e1)) = (e0)) ((op (e4) (e1)) != (e0)) ### Axiom % 277.43/277.67 157. ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e1)) = (e0)) ### Trans 156 4 % 277.43/277.67 158. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom % 277.43/277.67 159. ((op (e4) (e2)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e2)) = (e0)) ### Trans 158 4 % 277.43/277.67 160. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 277.43/277.67 161. ((op (e4) (e3)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e3)) = (e0)) ### Trans 160 4 % 277.43/277.67 162. ((op (e4) (e4)) = (e0)) ((op (e4) (e4)) != (e0)) ### Axiom % 277.43/277.67 163. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=) % 277.43/277.67 164. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=) % 277.43/277.67 165. ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e1)) ### TransEq-sym 140 163 164 % 277.43/277.67 166. ((unit) = (e3)) ((e3) != (unit)) ### Sym(=) % 277.43/277.67 167. ((op (e4) (e3)) != (op (e4) (unit))) ((unit) = (e3)) ### NotEqual 17 166 % 277.43/277.67 168. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=) % 277.43/277.67 169. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=) % 277.43/277.67 170. ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e1)) = (e4)) ((unit) = (e3)) ### TransEq-sym 167 168 169 % 277.43/277.67 171. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=) % 277.43/277.67 172. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=) % 277.43/277.67 173. ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e1)) = (e4)) ((unit) = (e4)) ### TransEq-sym 53 171 172 % 277.43/277.67 174. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) = (e4)) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ### DisjTree 155 165 46 170 173 % 277.43/277.67 175. (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e4) (e1)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e2) (e2))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### And 174 % 277.43/277.67 176. (((op (e4) (e4)) != (e0)) \/ (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit)))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) ### Or 162 175 % 277.43/277.67 177. ((((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e1)) != (e0)) \/ (((op (e0) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e2)) != (e0)) \/ (((op (e0) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e3)) != (e0)) \/ (((op (e0) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e4)) != (e0)) \/ (((op (e0) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e0)) != (e0)) \/ (((op (e1) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e1)) != (e0)) \/ (((op (e1) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e2)) != (e0)) \/ (((op (e1) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e3)) != (e0)) \/ (((op (e1) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e4)) != (e0)) \/ (((op (e1) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e0)) != (e0)) \/ (((op (e2) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e1)) != (e0)) \/ (((op (e2) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e2)) != (e0)) \/ (((op (e2) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e3)) != (e0)) \/ (((op (e2) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e4)) != (e0)) \/ (((op (e2) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e0)) != (e0)) \/ (((op (e3) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e1)) != (e0)) \/ (((op (e3) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e2)) != (e0)) \/ (((op (e3) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e3)) != (e0)) \/ (((op (e3) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e4)) != (e0)) \/ (((op (e3) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e0)) != (e0)) \/ (((op (e4) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e1)) != (e0)) \/ (((op (e4) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e2)) != (e0)) \/ (((op (e4) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e3)) != (e0)) \/ (((op (e4) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ (((op (e4) (e4)) != (e0)) \/ (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit)))))))))))))))))))))))))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e4) (e1)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e2) (e2))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### ConjTree 176 % 277.43/277.67 178. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom % 277.43/277.67 179. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=) % 277.43/277.67 180. (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit))) ((unit) = (e1)) ### And 179 % 277.43/277.67 181. (((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) ((unit) = (e1)) ((op (e0) (e0)) = (e1)) ### Or 178 180 % 277.43/277.67 182. ((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) ((op (e0) (e0)) = (e1)) ((unit) = (e1)) ### ConjTree 181 % 277.43/277.67 183. ((op (e0) (e4)) = (e2)) ((op (e0) (e4)) != (e2)) ### Axiom % 277.43/277.67 184. (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit))) ((e4) = (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ### And 30 % 277.43/277.67 185. (((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) ((op (e0) (e2)) != (op (e2) (e2))) ((e4) = (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ### Or 183 184 % 277.43/277.67 186. ((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) ((op (e0) (e4)) = (e2)) ((e4) = (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ### ConjTree 185 % 277.43/277.67 187. ((op (e0) (e0)) = (e4)) ((op (e0) (e0)) != (e4)) ### Axiom % 277.43/277.67 188. (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e4) (e4))) ### And 5 % 277.43/277.67 189. (((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) ((op (e0) (e4)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e0) (e0)) = (e4)) ### Or 187 188 % 277.43/277.67 190. ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))) ((op (e0) (e0)) = (e4)) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e4) (e4))) ### ConjTree 189 % 277.43/277.67 191. 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\/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != 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((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e0)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) ### DisjTree 177 182 186 106 190 % 277.43/277.67 192. 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/\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 16 157 159 161 191 % 277.43/277.67 193. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 277.43/277.67 194. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=) % 277.43/277.67 195. (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit))) ((unit) = (e1)) ### And 194 % 277.43/277.67 196. (((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) ((unit) = (e1)) ((op (e0) (e1)) = (e1)) ### Or 193 195 % 277.43/277.67 197. 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((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e1)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) ### DisjTree 177 197 186 106 190 % 277.43/277.67 199. 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/\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 16 157 159 161 198 % 277.43/277.67 200. ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (e1)) ### Axiom % 277.43/277.67 201. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=) % 277.43/277.67 202. (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit))) ((unit) = (e1)) ### And 201 % 277.43/277.67 203. (((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) ((unit) = (e1)) ((op (e0) (e2)) = (e1)) ### Or 200 202 % 277.43/277.67 204. 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((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e2)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) ### DisjTree 177 204 186 106 190 % 277.43/277.67 206. ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (e1)) ### Axiom % 277.43/277.67 207. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=) % 277.43/277.67 208. (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit))) ((unit) = (e1)) ### And 207 % 277.43/277.67 209. (((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) ((unit) = (e1)) ((op (e0) (e3)) = (e1)) ### Or 206 208 % 277.43/277.67 210. ((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) ((op (e0) (e3)) = (e1)) ((unit) = (e1)) ### ConjTree 209 % 277.43/277.67 211. 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\/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((unit) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ### DisjTree 192 199 205 211 10 % 277.43/277.68 213. 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(unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e4)) = (e0)) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((e3) = (op (e2) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ### DisjTree 155 212 46 170 173 % 277.43/277.68 214. 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\/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = 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((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e4)) = (e0)) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 214 % 277.43/277.68 216. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3))) ### Sym(=) % 277.43/277.68 217. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3))) ### Sym(=) % 277.43/277.68 218. ((op (e0) (e3)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e0) (e3)) = (e4)) ((unit) = (e3)) ### TransEq-sym 167 216 217 % 277.43/277.68 219. ((op (e1) (e3)) = (e4)) ((e4) != (op (e1) (e3))) ### Sym(=) % 277.43/277.68 220. ((op (e1) (e3)) = (e4)) ((e4) != (op (e1) (e3))) ### Sym(=) % 277.43/277.68 221. ((op (e1) (e3)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e1) (e3)) = (e4)) ((unit) = (e3)) ### TransEq-sym 167 219 220 % 277.43/277.68 222. ((op (e3) (e3)) = (e4)) ((e4) != (op (e3) (e3))) ### Sym(=) % 277.43/277.68 223. ((op (e3) (e3)) = (e4)) ((e4) != (op (e3) (e3))) ### Sym(=) % 277.43/277.68 224. ((op (e3) (e3)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e3) (e3)) = (e4)) ((unit) = (e3)) ### TransEq-sym 167 222 223 % 277.43/277.68 225. ((op (e4) (e4)) = (e0)) ((op (e4) (e4)) != (e0)) ### Axiom % 277.43/277.68 226. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=) % 277.43/277.68 227. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=) % 277.43/277.68 228. ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((unit) = (e0)) ### TransEq 19 226 227 % 277.43/277.68 229. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=) % 277.43/277.68 230. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=) % 277.43/277.68 231. ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((unit) = (e1)) ### TransEq 140 229 230 % 277.43/277.68 232. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=) % 277.43/277.68 233. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=) % 277.43/277.68 234. ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((unit) = (e2)) ### TransEq 43 232 233 % 277.43/277.68 235. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=) % 277.43/277.68 236. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=) % 277.43/277.68 237. ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e3)) ### TransEq-sym 167 235 236 % 277.52/277.68 238. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=) % 277.52/277.68 239. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=) % 277.52/277.68 240. ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((unit) = (e4)) ### TransEq-sym 53 238 239 % 277.52/277.68 241. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e0)) = (e4)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ### DisjTree 228 231 234 237 240 % 277.52/277.68 242. (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### And 241 % 277.52/277.68 243. (((op (e4) (e4)) != (e0)) \/ (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit)))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e4)) = (e0)) ### Or 225 242 % 277.52/277.68 244. ((((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e1)) != (e0)) \/ (((op (e0) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e2)) != (e0)) \/ (((op (e0) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e3)) != (e0)) \/ (((op (e0) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e4)) != (e0)) \/ (((op (e0) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e0)) != (e0)) \/ (((op (e1) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e1)) != (e0)) \/ (((op (e1) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e2)) != (e0)) \/ (((op (e1) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e3)) != (e0)) \/ (((op (e1) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e4)) != (e0)) \/ (((op (e1) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e0)) != (e0)) \/ (((op (e2) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e1)) != (e0)) \/ (((op (e2) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e2)) != (e0)) \/ (((op (e2) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e3)) != (e0)) \/ (((op (e2) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e4)) != (e0)) \/ (((op (e2) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e0)) != (e0)) \/ (((op (e3) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e1)) != (e0)) \/ (((op (e3) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e2)) != (e0)) \/ (((op (e3) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e3)) != (e0)) \/ (((op (e3) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e4)) != (e0)) \/ (((op (e3) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e0)) != (e0)) \/ (((op (e4) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e1)) != (e0)) \/ (((op (e4) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e2)) != (e0)) \/ (((op (e4) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e3)) != (e0)) \/ (((op (e4) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ (((op (e4) (e4)) != (e0)) \/ (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit)))))))))))))))))))))))))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### ConjTree 243 % 277.52/277.68 245. ((op (e4) (e0)) = (e1)) ((op (e4) (e0)) != (e1)) ### Axiom % 277.52/277.68 246. (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e1)) != (op (e4) (e4))) ### And 157 % 277.52/277.68 247. (((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e0)) = (e1)) ### Or 245 246 % 277.52/277.68 248. ((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) ((op (e4) (e0)) = (e1)) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e1)) != (op (e4) (e4))) ### ConjTree 247 % 277.52/277.68 249. (((((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e1)) != (e0)) \/ (((op (e0) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e2)) != (e0)) \/ (((op (e0) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e3)) != (e0)) \/ (((op (e0) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e4)) != (e0)) \/ (((op (e0) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e0)) != (e0)) \/ (((op (e1) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e1)) != (e0)) \/ (((op (e1) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e2)) != (e0)) \/ (((op (e1) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e3)) != (e0)) \/ (((op (e1) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e4)) != (e0)) \/ (((op (e1) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e0)) != (e0)) \/ (((op (e2) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e1)) != (e0)) \/ (((op (e2) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e2)) != (e0)) \/ (((op (e2) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e3)) != (e0)) \/ (((op (e2) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e4)) != (e0)) \/ (((op (e2) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e0)) != (e0)) \/ (((op (e3) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e1)) != (e0)) \/ (((op (e3) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e2)) != (e0)) \/ (((op (e3) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e3)) != (e0)) \/ (((op (e3) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e4)) != (e0)) \/ (((op (e3) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e0)) != (e0)) \/ (((op (e4) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e1)) != (e0)) \/ (((op (e4) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e2)) != (e0)) \/ (((op (e4) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e3)) != (e0)) \/ (((op (e4) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ (((op (e4) (e4)) != (e0)) \/ (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) 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/\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e4)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((op (e4) (e0)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e3)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((unit) = (e3)) ((op (e4) (unit)) = (e4)) ((op (e0) (e3)) != (op (e4) (e3))) ### DisjTree 218 221 103 224 250 % 277.52/277.68 252. 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((e3) != (e3)) ### NotEqual % 277.52/277.68 254. ((unit) = (e4)) ((e4) != (unit)) ### Sym(=) % 277.52/277.68 255. ((op (e3) (e4)) != (op (e3) (unit))) ((unit) = (e4)) ### NotEqual 253 254 % 277.52/277.68 256. ((op (e2) (e4)) = (e3)) ((e3) != (op (e2) (e4))) ### Sym(=) % 277.52/277.68 257. ((op (e2) (e4)) = (e3)) ((e3) != (op (e2) (e4))) ### Sym(=) % 277.52/277.68 258. ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) = (e3)) ((unit) = (e4)) ### TransEq-sym 255 256 257 % 277.52/277.68 259. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((unit) = (e4)) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 258 % 277.52/277.68 260. 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(e0)) \/ (((op (e2) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e1)) != (e0)) \/ (((op (e2) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e2)) != (e0)) \/ (((op (e2) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e3)) != (e0)) \/ (((op (e2) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e4)) != (e0)) \/ (((op (e2) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e0)) != (e0)) \/ (((op (e3) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e1)) != (e0)) \/ (((op (e3) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e2)) != (e0)) \/ (((op (e3) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e3)) != (e0)) \/ (((op (e3) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e4)) != (e0)) \/ (((op (e3) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e0)) != (e0)) \/ (((op (e4) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e1)) != (e0)) \/ (((op (e4) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e2)) != (e0)) \/ (((op (e4) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e3)) != (e0)) \/ (((op (e4) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ (((op (e4) (e4)) != (e0)) \/ (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) 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(unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 215 46 252 259 % 277.52/277.68 261. ((op (e4) (e4)) = (e1)) ((op (e4) (e4)) != (e1)) ### Axiom % 277.52/277.68 262. ((op (e3) (e4)) != (op (e4) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e4)) = (e1)) ### Trans-sym 261 9 % 277.52/277.68 263. ((op (e4) (e4)) = (e2)) ((op (e4) (e4)) != (e2)) ### Axiom % 277.52/277.68 264. ((op (e4) (e2)) = (e4)) ((op (e4) (e2)) != (e4)) ### Axiom % 277.52/277.68 265. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 277.52/277.68 266. ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e2) (e2))) ((op (e4) (e2)) = (e4)) ### Trans-sym 264 265 % 277.52/277.68 267. (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ### And 266 % 277.52/277.68 268. (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))) ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e2) (e2))) ((op (e4) (e4)) = (e2)) ### Or 263 267 % 277.52/277.68 269. ((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) ((op (e4) (e4)) = (e2)) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ### ConjTree 268 % 277.52/277.68 270. 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((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e0)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) ### DisjTree 177 182 269 106 190 % 277.52/277.69 271. 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\/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 16 157 159 161 270 % 277.52/277.69 272. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e4)) = (e2)) ((op (e0) (e0)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 271 % 277.52/277.69 273. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((op (e0) (e1)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 199 % 277.52/277.69 274. 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/\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((op (e0) (e2)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 274 % 277.52/277.69 276. 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(e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 143 46 251 258 % 277.53/277.69 277. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 277.53/277.69 278. ((op (e3) (e1)) = (e4)) ((e4) != (op (e3) (e1))) ### Sym(=) % 277.53/277.69 279. ((op (e3) (e1)) = (e4)) ((e4) != (op (e3) (e1))) ### Sym(=) % 277.53/277.69 280. ((op (e3) (e1)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e3) (e1)) = (e4)) ((unit) = (e3)) ### TransEq-sym 48 278 279 % 277.53/277.69 281. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e3) (e1)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e3) (e1)) != (op (e3) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ### DisjTree 228 231 234 280 240 % 277.53/277.69 282. (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### And 281 % 277.53/277.69 283. (((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (unit) (e4)) = (e4)) ((op (e3) (e1)) != (op (e3) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e3) (e4)) = (e1)) ### Or 277 282 % 277.53/277.69 284. ((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) ((op (e3) (e4)) = (e1)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### ConjTree 283 % 277.53/277.69 285. ((op (e4) (e0)) = (e2)) ((op (e4) (e0)) != (e2)) ### Axiom % 277.53/277.69 286. (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e2)) != (op (e4) (e4))) ### And 159 % 277.53/277.69 287. (((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) ((op (e4) (e2)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e0)) = (e2)) ### Or 285 286 % 277.53/277.69 288. ((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) ((op (e4) (e0)) = (e2)) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e2)) != (op (e4) (e4))) ### ConjTree 287 % 277.53/277.69 289. (((((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e1)) != (e0)) \/ (((op (e0) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e2)) != (e0)) \/ (((op (e0) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e3)) != (e0)) \/ (((op (e0) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e4)) != (e0)) \/ (((op (e0) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e0)) != (e0)) \/ (((op (e1) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e1)) != (e0)) \/ (((op (e1) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e2)) != (e0)) \/ (((op (e1) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e3)) != (e0)) \/ (((op (e1) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e4)) != (e0)) \/ (((op (e1) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e0)) != (e0)) \/ (((op (e2) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e1)) != (e0)) \/ (((op (e2) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e2)) != (e0)) \/ (((op 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((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e2)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e0)) = (e2)) ((op (unit) (e4)) = (e4)) ((op (e3) (e1)) != (op (e3) (e4))) ((op (e3) (e4)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e4)) = (e0)) ### DisjTree 244 284 288 106 190 % 277.53/277.69 290. ((op (e4) (e4)) = (e1)) ((op (e4) (e4)) != (e1)) ### Axiom % 277.53/277.69 291. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e1)) = (e4)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ### DisjTree 228 231 234 170 240 % 277.53/277.69 292. (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### And 291 % 277.53/277.69 293. (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e4)) = (e1)) ### Or 290 292 % 277.53/277.69 294. ((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) ((op (e4) (e4)) = (e1)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### ConjTree 293 % 277.53/277.69 295. 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((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) 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/\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) 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\/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e2)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e0)) = (e2)) ((op (e4) (e4)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e4)) = (e0)) ### DisjTree 244 294 288 106 190 % 277.53/277.69 296. 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((op (e1) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e3)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((unit) = (e3)) ((op (e4) (unit)) = (e4)) ((op (e0) (e3)) != (op (e4) (e3))) ### DisjTree 218 221 103 224 297 % 277.53/277.70 299. 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(((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e4)) = (e3)) ((op (e4) (e0)) = (e2)) ((op (unit) (e4)) = (e4)) ((op (e3) (e1)) != (op (e3) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 143 46 298 259 % 277.53/277.70 300. ((op (e3) (e0)) = (e4)) ((e4) != (op (e3) (e0))) ### Sym(=) % 277.53/277.70 301. ((op (e3) (e0)) = (e4)) ((e4) != (op (e3) (e0))) ### Sym(=) % 277.53/277.70 302. ((op (e3) (e0)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e3) (e0)) = (e4)) ((unit) = (e3)) ### TransEq-sym 48 300 301 % 277.53/277.70 303. ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (e4)) ### Axiom % 277.53/277.70 304. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 277.53/277.70 305. ((op (e2) (e2)) != (op (e3) (e2))) ((e4) = (op (e2) (e2))) ((op (e3) (e2)) = (e4)) ### Trans-sym 303 304 % 277.53/277.70 306. ((op (e3) (e4)) = (e4)) ((e4) != (op (e3) (e4))) ### Sym(=) % 277.53/277.70 307. ((op (e3) (e4)) = (e4)) ((e4) != (op (e3) (e4))) ### Sym(=) % 277.53/277.70 308. ((op (e3) (e4)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e3) (e4)) = (e4)) ((unit) = (e4)) ### TransEq-sym 53 306 307 % 277.53/277.70 309. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e3) (e4)) = (e4)) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) = (e4)) ((op (e0) (e3)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 143 46 218 308 % 277.53/277.70 310. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom % 277.53/277.70 311. (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e3)) != (op (e4) (e4))) ### And 161 % 277.53/277.70 312. (((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) ((op (e4) (e3)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e0)) = (e3)) ### Or 310 311 % 277.53/277.70 313. ((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) ((op (e4) (e0)) = (e3)) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e3)) != (op (e4) (e4))) ### ConjTree 312 % 277.53/277.70 314. 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/\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((unit) = (e3)) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e2) (e2))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e3) (e4)) = (e4)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### DisjTree 309 221 103 224 317 % 277.53/277.70 319. 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((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e4) (e0)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) = (e3)) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (unit)) = (e4)) ((op (e3) (e3)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e4))) ((unit) = (e3)) ((op (unit) (e4)) = (e4)) ((op (e3) (e0)) != (op (e3) (e4))) ### DisjTree 302 280 305 224 318 % 277.53/277.71 320. 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(e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (e4)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 143 46 319 258 % 277.53/277.71 321. 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\/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e4)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 16 276 299 320 321 % 277.53/277.71 323. 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277.53/277.71 325. 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/\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 323 146 149 152 324 % 277.53/277.71 326. 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!= (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ### DisjTree 272 273 275 325 10 % 277.53/277.71 327. 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\/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((op (e2) (e0)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e3)) != (op (e2) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e4))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 326 46 252 258 % 277.53/277.71 328. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 277.53/277.71 329. ((op (e2) (e4)) != (op (e4) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e4)) = (e3)) ### Trans-sym 328 76 % 277.53/277.71 330. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=) % 277.53/277.71 331. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=) % 277.53/277.71 332. ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e4)) = (e4)) ((unit) = (e0)) ### TransEq 19 330 331 % 277.53/277.71 333. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=) % 277.53/277.71 334. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=) % 277.53/277.71 335. ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e4)) = (e4)) ((unit) = (e1)) ### TransEq 140 333 334 % 277.53/277.71 336. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=) % 277.53/277.71 337. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=) % 277.53/277.71 338. ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e4)) = (e4)) ((unit) = (e2)) ### TransEq 43 336 337 % 277.53/277.71 339. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=) % 277.53/277.71 340. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=) % 277.53/277.71 341. ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e4)) = (e4)) ((unit) = (e3)) ### TransEq 167 339 340 % 277.53/277.71 342. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e4)) = (e3)) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e4)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 332 335 338 341 258 % 277.53/277.71 343. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e4)) = (e4)) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 342 % 277.53/277.71 344. 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(e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e0)) = (e1)) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ### DisjTree 260 262 327 329 343 % 277.53/277.72 345. 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\/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 16 157 159 161 345 % 277.53/277.72 347. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 346 % 277.53/277.72 348. 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/\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 349 % 277.53/277.72 351. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e0)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op 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(e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 351 46 298 258 % 277.53/277.72 353. ((op (e3) (e4)) = (e4)) ((e4) != (op (e3) (e4))) ### Sym(=) % 277.53/277.72 354. ((op (e3) (e4)) = (e4)) ((e4) != (op (e3) (e4))) ### Sym(=) % 277.53/277.72 355. ((op (e1) (e4)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e3) (e4)) = (e4)) ((unit) = (e1)) ### TransEq 38 353 354 % 277.53/277.72 356. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e4)) = (e3)) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e0) (e3)) = (e4)) ((op (e0) (e3)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e3) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 355 46 218 258 % 277.53/277.72 357. 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/\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((op (unit) (e4)) = (e4)) ((op (e3) (e1)) != (op (e3) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e4)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 316 % 277.53/277.72 358. 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((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e0)) = (e3)) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((e3) = (op (e2) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 368 % 277.58/277.74 370. 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(e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 369 46 218 258 % 277.58/277.74 371. 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!= (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e0)) = (e3)) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((e3) = (op (e2) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) 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/\ ((e0) != (unit)))) /\ ((((op (e1) (e4)) != (e0)) \/ (((op (e1) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e0)) != (e0)) \/ (((op (e2) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e1)) != (e0)) \/ (((op (e2) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e2)) != (e0)) \/ (((op (e2) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e3)) != (e0)) \/ (((op (e2) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e4)) != (e0)) \/ (((op (e2) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e0)) != (e0)) \/ (((op (e3) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e1)) != (e0)) \/ (((op (e3) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e2)) != (e0)) \/ (((op (e3) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e3)) != (e0)) \/ (((op (e3) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e4)) != (e0)) \/ (((op (e3) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e0)) != (e0)) \/ (((op (e4) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e4) 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/\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 369 46 371 258 % 277.58/277.74 373. 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(e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e0)) = (e3)) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 372 % 277.58/277.74 374. 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\/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (e0)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e3) (e1)) != (op (e3) 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((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=) % 277.58/277.74 376. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=) % 277.58/277.74 377. ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e4)) ### TransEq-sym 53 375 376 % 277.58/277.74 378. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 165 46 237 377 % 277.58/277.74 379. 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(unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e3) (e4)) != (op 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((op (e4) (e0)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 379 % 277.58/277.75 381. ((op (e0) (e4)) = (e3)) ((op (e0) (e4)) != (e3)) ### Axiom % 277.58/277.75 382. ((op (e0) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e0) (e4)) = (e3)) ### Trans 381 76 % 277.58/277.75 383. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 22 41 46 51 56 % 277.58/277.75 384. 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\/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e3) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e4))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e4) (e4))) ### DisjTree 5 10 380 382 383 % 277.58/277.75 385. ((op (e0) (e3)) = (e4)) ((op (e0) (e3)) != (e4)) ### Axiom % 277.58/277.75 386. (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e2) (e4))) ### And 382 % 277.58/277.75 387. (((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) ((op (e0) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e0) (e3)) = (e4)) ### Or 385 386 % 277.58/277.75 388. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((op (e4) (e0)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 390 % 277.58/277.75 392. 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(unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4)))))) ### DisjTree 384 143 30 392 41 % 277.58/277.75 394. ((op (e0) (e1)) = (e4)) ((op (e0) (e1)) != (e4)) ### Axiom % 277.58/277.75 395. (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) ### And 10 % 277.58/277.75 396. (((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((e3) = (op (e2) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e0) (e1)) = (e4)) ### Or 394 395 % 277.58/277.75 397. ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))) ((op (e0) (e1)) = (e4)) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) ### ConjTree 396 % 277.58/277.75 398. 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\/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e0) (e1)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e4) (e0)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e4)) = (e0)) ### DisjTree 244 248 99 106 397 % 277.58/277.75 399. 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((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) 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\/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e4)) = (e2)) ((unit) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) 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\/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e0)) = 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/\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e4) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ### DisjTree 155 409 46 170 173 % 277.58/277.77 411. 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\/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e1)) = (e4)) ((op (e4) (e0)) = (e2)) ((op (unit) (e4)) = (e4)) ((op (e3) (e1)) != (op (e3) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e3) (e4)) != (op (e4) (e4))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e3)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((unit) = (e3)) ((op (e4) (unit)) = (e4)) ((op (e0) (e3)) != (op (e4) (e3))) ### DisjTree 218 221 103 224 417 % 277.58/277.77 419. 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(e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e2)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) = (e2)) ((unit) = (e1)) ((op (e0) (e3)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) ### DisjTree 177 210 288 106 388 % 277.58/277.78 425. 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(unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) 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!= (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e0)) = (e2)) ((unit) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) 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(e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e0) (e4)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e4) (e4)) = (e2)) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) 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\/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e3)) != (op (e4) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 426 262 432 329 411 % 277.58/277.79 434. 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/\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) 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(e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e4) (e2)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e0) (e4)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e0) (e3)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 433 % 277.58/277.79 435. 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\/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e3)) != (op (e4) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 434 % 277.58/277.79 436. 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!= (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ### DisjTree 413 419 30 435 41 % 277.58/277.79 437. 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/\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e4) (e0)) = (e2)) ((op (unit) (e4)) = (e4)) ((op (e3) (e1)) != (op (e3) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 298 % 277.58/277.79 438. 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\/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((unit) = (e3)) ((op (e4) (unit)) = (e4)) ((op (e0) (e3)) != (op (e4) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ### DisjTree 437 418 30 218 51 % 277.58/277.79 439. 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(e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e3) (e3)) != (op (e4) (e3))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e3) (e1)) != (op (e3) (e4))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e2) (e2))) ((e4) = (op (e2) (e2))) ((op (e0) (e3)) != (op (e0) (e4))) (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e4)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) (((((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e1)) != (e0)) \/ (((op (e0) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e2)) != (e0)) \/ (((op (e0) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e3)) != (e0)) \/ (((op (e0) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e4)) != (e0)) \/ (((op (e0) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e0)) != (e0)) \/ (((op (e1) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e1)) != (e0)) \/ (((op (e1) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e2)) != (e0)) \/ (((op (e1) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e3)) != (e0)) \/ (((op (e1) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e4)) != (e0)) \/ (((op (e1) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e0)) != (e0)) \/ (((op (e2) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e1)) != (e0)) \/ (((op (e2) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e2)) != (e0)) \/ (((op (e2) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e3)) != (e0)) \/ (((op (e2) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e4)) != (e0)) \/ (((op (e2) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e0)) != (e0)) \/ (((op (e3) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e1)) != (e0)) \/ (((op (e3) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e2)) != (e0)) \/ (((op (e3) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e3)) != (e0)) \/ (((op (e3) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e4)) != (e0)) \/ (((op (e3) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e0)) != (e0)) \/ (((op (e4) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e1)) != (e0)) \/ (((op (e4) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e2)) != (e0)) \/ (((op (e4) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e3)) != (e0)) \/ (((op (e4) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ (((op (e4) (e4)) != (e0)) \/ (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ 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((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e1) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((op (e0) (e0)) = (e0)) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1)))))) ((op (e1) (e0)) != (op (e4) (e0))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ### DisjTree 138 436 46 438 259 % 277.58/277.80 440. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((op (e0) (e0)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = 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(e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 442 % 277.58/277.80 444. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e1)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) 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(e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 446 % 277.66/277.80 448. 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(e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != 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/\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((op (e0) (e2)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 447 % 277.66/277.80 449. 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DisjTree 16 157 159 161 449 % 277.66/277.81 451. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e3)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) 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\/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ### DisjTree 215 143 30 453 41 % 277.66/277.81 455. ((op (e3) (e4)) = (e4)) ((e4) != (op (e3) (e4))) ### Sym(=) % 277.66/277.81 456. ((op (e3) (e4)) = (e4)) ((e4) != (op (e3) (e4))) ### Sym(=) % 277.66/277.81 457. ((op (e0) (e4)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e3) (e4)) = (e4)) ((unit) = (e0)) ### TransEq 24 455 456 % 277.66/277.81 458. 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/\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e0)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e3) (e4)) != (op (e4) (e4))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (unit)) = (e4)) ((op (e3) (e3)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op 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!= (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e4)) = (e0)) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (unit)) = (e4)) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e4))) ((unit) = (e3)) ((op (unit) (e4)) = (e4)) ((op (e3) (e0)) != (op (e3) (e4))) ### DisjTree 360 463 30 218 51 % 277.66/277.82 465. 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((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ### DisjTree 373 143 30 445 41 % 277.66/277.82 468. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e2)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) 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((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e0) (e3)) = (e4)) ((op (e4) (e3)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) = (e3)) ((op (e4) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e0)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) ### DisjTree 177 182 269 313 388 % 277.66/277.83 473. 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((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) 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DisjTree 16 157 159 161 474 % 277.66/277.83 476. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e1)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) 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\/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 16 157 159 161 480 % 277.66/277.84 482. 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e0) (e3)) = (e4)) ((op (e4) (e0)) = (e3)) ((op (e4) (e4)) = (e2)) ((op (e0) (e3)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 481 % 277.66/277.84 483. 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/\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e1) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((op (e0) (e0)) = (e0)) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op 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\/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (unit)) = (e1)) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e3)) != (op (e0) (e4))) ((e4) = (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (unit) (e4)) = 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(e4))) ((op (e4) (e0)) = (e1)) ((op (e0) (e4)) = (e2)) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e1) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ### DisjTree 129 393 46 132 135 % 277.66/277.85 495. 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((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e4) (e0)) = (e2)) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e3) (e3)) != (op (e4) (e3))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e1) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ### DisjTree 129 436 46 132 259 % 277.66/277.85 496. 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\/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != 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((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e0)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) ### DisjTree 177 182 186 106 388 % 277.66/277.85 497. 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(e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 143 146 149 152 496 % 277.66/277.85 498. 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(e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e2) (e2))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) = (e3)) (((unit) = (e0)) 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146 149 152 500 % 277.66/277.86 502. 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/\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ 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(e4) (e1))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) = (e4)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ### DisjTree 77 79 81 83 502 % 277.66/277.86 504. 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\/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op 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/\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e4)) = (e0)) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e1) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ### DisjTree 129 504 46 132 135 % 277.66/277.86 506. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e1) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ### DisjTree 129 143 46 132 135 % 277.66/277.86 507. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e1) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e1) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ### DisjTree 129 146 46 132 135 % 277.66/277.86 508. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e0)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e3)) != (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e3) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e0) (e3)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e3)) != (op (e0) (e4))) ### DisjTree 33 152 46 280 259 % 277.66/277.86 509. 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(((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e3)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op 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/\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ### DisjTree 155 511 46 170 173 % 277.66/277.87 513. 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(e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e3)) = (e4)) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e3) (e1)) != (op (e3) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e2) (e2))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ### DisjTree 506 507 149 508 513 % 277.73/277.87 515. 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((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e1) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ### DisjTree 129 515 46 132 135 % 277.73/277.87 517. 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(((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e1) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ### DisjTree 129 165 46 237 377 % 277.73/277.87 520. 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(e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e3) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e4))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e4) (e0)) = (e1)) ((op (e0) (e4)) = (e2)) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e0)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 526 393 46 402 259 % 277.73/277.88 528. 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(e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e4) (e0)) = (e2)) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e3) (e3)) != (op (e4) (e3))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e0)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 526 436 46 438 259 % 277.73/277.88 529. 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\/ ((op (e4) (e1)) = (e4)))))) ((op (e2) (e0)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e3)) != (op (e2) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) != (op (e4) (e3))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e0) (e4)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e4)) != (op (e4) (e4))) (((((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e1)) != (e0)) \/ (((op (e0) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e2)) != (e0)) \/ (((op (e0) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e3)) != (e0)) \/ (((op (e0) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e4)) != (e0)) \/ (((op (e0) (e0)) = (e4)) 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!= (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op 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/\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e4)) = (e0)) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e0)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 526 454 46 464 259 % 277.73/277.88 530. 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(op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (e3) (e0)) != (op (e3) (e4))) ### DisjTree 529 262 530 329 343 % 277.73/277.88 532. 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\/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e1) (e4)) != (op (e2) (e4))) (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e4) (e4))) ### DisjTree 5 10 535 382 536 % 277.73/277.89 538. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 277.73/277.89 539. ((op (e2) (e0)) != (op (e2) (unit))) ((unit) = (e0)) ### NotEqual 74 538 % 277.73/277.89 540. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 277.73/277.89 541. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=) % 277.73/277.89 542. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) = (e2)) ((unit) = (e0)) ### TransEq-sym 539 540 541 % 277.73/277.89 543. 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((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e4) (e0)) = (e1)) ((op (e0) (e4)) = (e2)) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e0)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 542 393 46 402 259 % 277.73/277.89 544. 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= (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e4) (e0)) = (e2)) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((e4) = (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e3) (e3)) != (op 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\/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e1) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e1)) != (op (e0) (e4))) ### DisjTree 27 143 46 463 259 % 277.73/277.89 547. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e0) (e1)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e1)) != (op (e0) (e4))) ### DisjTree 27 165 46 237 377 % 277.73/277.89 548. 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/\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4)))))) ### DisjTree 384 549 30 443 550 % 277.73/277.90 552. 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\/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op 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\/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e2) 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/\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((op (e0) (e2)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ### DisjTree 471 143 30 448 41 % 277.73/277.90 555. 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/\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 16 157 159 161 555 % 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(e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ((unit) = (e1)) ((op (e0) (e3)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) 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\/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op 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(unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e3) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e4))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e4) (e4))) (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) ((unit) = (e1)) ((op (e1) (e4)) = (e2)) ((op (e0) (e0)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ### DisjTree 551 553 554 559 10 % 277.73/277.91 561. 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\/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e3) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e4))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e4) (e4))) (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) ((unit) = (e1)) ((op (e1) (e4)) = (e2)) ((op (e0) (e0)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ### DisjTree 551 553 485 559 10 % 277.73/277.91 563. 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(e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e4) (e4))) (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e2)) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ### DisjTree 561 262 563 329 343 % 277.73/277.91 565. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e0) (e0)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 542 165 46 237 377 % 277.73/277.91 566. 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(e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e1) (e4)) = (e4)) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e0)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 542 515 46 132 259 % 277.73/277.91 569. 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((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 16 494 544 569 519 % 277.73/277.92 571. 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((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e0) (e3)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e3)) != (op (e0) (e4))) ### DisjTree 33 392 46 218 259 % 277.73/277.92 574. 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(unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e4) (e2)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e0) (e4)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e0) (e3)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e3)) != (op (e0) (e4))) ### DisjTree 33 435 46 218 259 % 277.73/277.92 575. 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/\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) 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(e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e2) (e3)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e4))) ((e4) = (op (e2) (e2))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) != (op (e2) (e4))) ((op (e0) (e4)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e4) (e4)) = (e0)) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e0) (e3)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e3)) != (op (e0) (e4))) ### DisjTree 33 453 46 218 259 % 277.73/277.92 576. 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((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e4) (e0)) = (e3)) ((op (e4) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e0) (e3)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e3)) != (op (e0) (e4))) ### DisjTree 33 484 46 218 259 % 277.73/277.92 577. 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\/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) 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(((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((e4) = (op (e2) (e2))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e0) (e3)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e3)) != (op (e0) (e4))) ### DisjTree 33 165 46 237 377 % 277.73/277.92 579. 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!= (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != 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/\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 16 573 574 577 578 % 277.73/277.93 580. 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\/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e4) (e2)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e4) (e0)) = (e2)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ 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(e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e4) (e0)) != (op (e4) (e3))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e1) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e1) (e4)) != (op (e4) (e4))) ### DisjTree 12 14 579 119 581 % 277.73/277.93 583. 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!= (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e3) (e1)) != (op (e3) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((e3) = (op (e2) (op (e2) (e2)))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((op (e0) (e4)) != (op (e4) (e4))) ### DisjTree 5 10 582 382 583 % 277.73/277.93 585. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 277.73/277.93 586. ((op (e3) (e0)) != (op (e3) (unit))) ((unit) = (e0)) ### NotEqual 253 585 % 277.73/277.93 587. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 277.73/277.93 588. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=) % 277.73/277.93 589. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((op (e0) (e0)) = (e3)) ((unit) = (e0)) ### TransEq-sym 586 587 588 % 277.73/277.93 590. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e0)) != (op (e2) (e4))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) != (e4)) ((op (e2) (e3)) != (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e3) (e4))) ((e4) = (op (e2) (e2))) ((op (e4) (unit)) = (e4)) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e0) (e0)) = (e3)) ((op (e3) (unit)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 589 41 46 51 259 % 277.73/277.93 591. (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) != (op (e2) (e4))) (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e4)) != (op (e4) (e4))) ((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) ((e4) = (op (e2) (e2))) ((op (e0) (e4)) != (op (e3) (e4))) ((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) ((e3) = (op (e2) (op (e2) (e2)))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e3) (e1)) != (op (e3) (e4))) (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) ((op (e3) (e0)) != (op (e3) (e4))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) ((op (e3) (e4)) != (op (e4) (e4))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e4) (e1)) != (op (e4) (e3))) (((unit) = 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(e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e3) (e3)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op 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/\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e4))) /\ (((op (e2) (e3)) != (op (e2) (e4))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e4))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e4))) /\ (((op (e3) (e2)) != (op (e3) (e3))) /\ (((op (e3) (e2)) != (op (e3) (e4))) /\ (((op (e3) (e3)) != (op (e3) (e4))) /\ (((op (e4) (e0)) != (op (e4) (e1))) /\ (((op (e4) (e0)) != (op (e4) (e2))) /\ (((op (e4) (e0)) != (op (e4) (e3))) /\ (((op (e4) (e0)) != (op (e4) (e4))) /\ (((op (e4) (e1)) != (op (e4) (e2))) /\ (((op (e4) (e1)) != (op (e4) (e3))) /\ (((op (e4) (e1)) != (op (e4) (e4))) /\ (((op (e4) (e2)) != (op (e4) (e3))) /\ (((op (e4) (e2)) != (op (e4) (e4))) /\ ((op (e4) (e3)) != (op (e4) (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op 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(e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4)))))) /\ (((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 595 % 277.73/277.94 597. 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(((e0) = (op (op (e2) (e2)) (op (e2) (e2)))) /\ (((e1) = (op (op (e2) (op (e2) (e2))) (op (e2) (e2)))) /\ (((e3) = (op (e2) (op (e2) (e2)))) /\ ((e4) = (op (e2) (e2)))))) (((op (e0) (e0)) != (op (e1) (e0))) /\ (((op (e0) (e0)) != (op (e2) (e0))) /\ (((op (e0) (e0)) != (op (e3) (e0))) /\ (((op (e0) (e0)) != (op (e4) (e0))) /\ (((op (e1) (e0)) != (op (e2) (e0))) /\ (((op (e1) (e0)) != (op (e3) (e0))) /\ (((op (e1) (e0)) != (op (e4) (e0))) /\ (((op (e2) (e0)) != (op (e3) (e0))) /\ (((op (e2) (e0)) != (op (e4) (e0))) /\ (((op (e3) (e0)) != (op (e4) (e0))) /\ (((op (e0) (e1)) != (op (e1) (e1))) /\ (((op (e0) (e1)) != (op (e2) (e1))) /\ (((op (e0) (e1)) != (op (e3) (e1))) /\ (((op (e0) (e1)) != (op (e4) (e1))) /\ (((op (e1) (e1)) != (op (e2) (e1))) /\ (((op (e1) (e1)) != (op (e3) (e1))) /\ (((op (e1) (e1)) != (op (e4) (e1))) /\ (((op (e2) (e1)) != (op (e3) (e1))) /\ (((op (e2) (e1)) != (op (e4) (e1))) /\ (((op (e3) (e1)) != (op (e4) (e1))) /\ (((op (e0) (e2)) != (op (e1) (e2))) /\ (((op (e0) 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(e3)) = (e2)) \/ ((op (e0) (e4)) = (e2)))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e4)) = (e3)))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e3)))))) /\ ((((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) /\ ((((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ ((op (e1) (e4)) = (e0)))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ ((op (e4) (e1)) = (e0)))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ ((op (e1) (e4)) = (e1)))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e4)) = (e2)))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) /\ ((((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) /\ ((((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) /\ ((((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) /\ ((((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e2) (e4)) = (e0)))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e4) (e2)) = (e0)))))) /\ ((((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1)))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e4) (e2)) = (e1)))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e4)) = (e2)))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e4) (e2)) = (e2)))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e3)))))) /\ ((((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) /\ ((((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e3) (e4)) = (e0)))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e4) (e3)) = (e0)))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e3) (e4)) = (e1)))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e4) (e3)) = (e2)))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e4)) = (e3)))))) /\ ((((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e3)))))) /\ ((((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) /\ ((((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) /\ ((((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) /\ ((((op (e4) (e0)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) /\ ((((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) /\ ((((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4)))))) /\ (((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) ### NotNot 599 % 277.73/277.95 % SZS output end Proof % 277.73/277.95 (* END-PROOF *) %------------------------------------------------------------------------------