%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG094+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 : n019.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 18:04:59 EDT 2022 % Result : Theorem 0.47s 0.70s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : ALG094+1 : TPTP v8.1.0. Released v2.7.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n019.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jun 8 07:08:40 EDT 2022 % 0.12/0.33 % CPUTime : % 0.47/0.70 % SZS status Theorem % 0.47/0.70 (* PROOF-FOUND *) % 0.47/0.70 (* BEGIN-PROOF *) % 0.47/0.70 % SZS output start Proof % 0.47/0.70 1. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 0.47/0.70 2. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 0.47/0.70 3. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 0.47/0.70 4. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=) % 0.47/0.70 5. ((e4) != (e4)) ### NotEqual % 0.47/0.70 6. ((e2) != (e4)) ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) = (e2)) ### TransEq 3 4 5 % 0.47/0.70 7. (-. (((op (e2) (e2)) = (e1)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) = (e4)) ((e2) != (e4)) ((op (e1) (e1)) = (e2)) ((op (e2) (e2)) = (e1)) ### DisjTree 1 2 6 % 0.47/0.70 8. (-. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e0) (e1)) != (e0)))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e0) (e2)) != (e0)))) \/ ((((op (e0) (e0)) = (e3)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e0) (e3)) != (e0)))) \/ ((((op (e0) (e0)) = (e4)) /\ (((op (e4) (e4)) = (e0)) /\ ((op (e0) (e4)) != (e0)))) \/ ((((op (e1) (e1)) = (e0)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e1) (e0)) != (e1)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e1) (e2)) != (e1)))) \/ ((((op (e1) (e1)) = (e3)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e1) (e3)) != (e1)))) \/ ((((op (e1) (e1)) = (e4)) /\ (((op (e4) (e4)) = (e1)) /\ ((op (e1) (e4)) != (e1)))) \/ ((((op (e2) (e2)) = (e0)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e2) (e0)) != (e2)))) \/ ((((op (e2) (e2)) = (e1)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e2) (e1)) != (e2)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e2)) = (e3)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e2) (e3)) != (e2)))) \/ ((((op (e2) (e2)) = (e4)) /\ (((op (e4) (e4)) = (e2)) /\ ((op (e2) (e4)) != (e2)))) \/ ((((op (e3) (e3)) = (e0)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e3) (e0)) != (e3)))) \/ ((((op (e3) (e3)) = (e1)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e3) (e1)) != (e3)))) \/ ((((op (e3) (e3)) = (e2)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e2)) != (e3)))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e3)) = (e4)) /\ (((op (e4) (e4)) = (e3)) /\ ((op (e3) (e4)) != (e3)))) \/ ((((op (e4) (e4)) = (e0)) /\ (((op (e0) (e0)) = (e4)) /\ ((op (e4) (e0)) != (e4)))) \/ ((((op (e4) (e4)) = (e1)) /\ (((op (e1) (e1)) = (e4)) /\ ((op (e4) (e1)) != (e4)))) \/ ((((op (e4) (e4)) = (e2)) /\ (((op (e2) (e2)) = (e4)) /\ ((op (e4) (e2)) != (e4)))) \/ ((((op (e4) (e4)) = (e3)) /\ (((op (e3) (e3)) = (e4)) /\ ((op (e4) (e3)) != (e4)))) \/ (((op (e4) (e4)) = (e4)) /\ (((op (e4) (e4)) = (e4)) /\ ((op (e4) (e4)) != (e4))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e1)) ((op (e1) (e1)) = (e2)) ((e2) != (e4)) ((op (e2) (e1)) = (e4)) ### ConjTree 7 % 0.47/0.70 9. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 0.47/0.70 10. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ ((op (e0) (e0)) = (e4))))))) ((op (e0) (e0)) = (e0)) ### ConjTree 9 % 0.47/0.70 11. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 0.47/0.70 12. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ ((op (e0) (e1)) = (e4))))))) ((op (e0) (e1)) = (e1)) ### ConjTree 11 % 0.47/0.70 13. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 0.47/0.70 14. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e2)) = (e4))))))) ((op (e0) (e2)) = (e2)) ### ConjTree 13 % 0.47/0.70 15. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 0.47/0.70 16. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e3)) = (e4))))))) ((op (e0) (e3)) = (e3)) ### ConjTree 15 % 0.47/0.70 17. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 0.47/0.70 18. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4))))))) ((op (e0) (e4)) = (e4)) ### ConjTree 17 % 0.47/0.70 19. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 0.47/0.70 20. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ ((op (e1) (e0)) = (e4))))))) ((op (e1) (e0)) = (e1)) ### ConjTree 19 % 0.47/0.70 21. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 0.47/0.70 22. (-. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ ((op (e1) (e1)) = (e4))))))) ((op (e1) (e1)) = (e2)) ### ConjTree 21 % 0.47/0.70 23. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 0.47/0.70 24. (-. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e2)) = (e4))))))) ((op (e1) (e2)) = (e3)) ### ConjTree 23 % 0.47/0.70 25. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom % 0.47/0.70 26. (-. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e3)) = (e4))))))) ((op (e1) (e3)) = (e4)) ### ConjTree 25 % 0.47/0.70 27. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom % 0.47/0.70 28. (-. (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4))))))) ((op (e1) (e4)) = (e0)) ### ConjTree 27 % 0.47/0.70 29. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 0.47/0.70 30. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e2) (e0)) = (e4))))))) ((op (e2) (e0)) = (e2)) ### ConjTree 29 % 0.47/0.70 31. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 0.47/0.70 32. (-. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4))))))) ((op (e2) (e1)) = (e4)) ### ConjTree 31 % 0.47/0.70 33. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 0.47/0.70 34. (-. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e2)) = (e4))))))) ((op (e2) (e2)) = (e1)) ### ConjTree 33 % 0.47/0.70 35. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 0.47/0.70 36. (-. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e3)) = (e4))))))) ((op (e2) (e3)) = (e0)) ### ConjTree 35 % 0.47/0.70 37. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom % 0.47/0.70 38. (-. (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4))))))) ((op (e2) (e4)) = (e3)) ### ConjTree 37 % 0.47/0.70 39. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 0.47/0.70 40. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e4))))))) ((op (e3) (e0)) = (e3)) ### ConjTree 39 % 0.47/0.70 41. ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (e0)) ### Axiom % 0.47/0.70 42. (-. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e4))))))) ((op (e3) (e1)) = (e0)) ### ConjTree 41 % 0.47/0.70 43. ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (e4)) ### Axiom % 0.47/0.70 44. (-. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e4))))))) ((op (e3) (e2)) = (e4)) ### ConjTree 43 % 0.47/0.70 45. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 0.47/0.70 46. (-. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e4))))))) ((op (e3) (e3)) = (e1)) ### ConjTree 45 % 0.47/0.70 47. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom % 0.47/0.70 48. (-. (((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e3) (e4)) = (e4))))))) ((op (e3) (e4)) = (e2)) ### ConjTree 47 % 0.47/0.70 49. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 0.47/0.70 50. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4))))))) ((op (e4) (e0)) = (e4)) ### ConjTree 49 % 0.47/0.70 51. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3)) ### Axiom % 0.47/0.70 52. (-. (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4))))))) ((op (e4) (e1)) = (e3)) ### ConjTree 51 % 0.47/0.70 53. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom % 0.47/0.70 54. (-. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4))))))) ((op (e4) (e2)) = (e0)) ### ConjTree 53 % 0.47/0.70 55. ((op (e4) (e3)) = (e2)) ((op (e4) (e3)) != (e2)) ### Axiom % 0.47/0.70 56. (-. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4))))))) ((op (e4) (e3)) = (e2)) ### ConjTree 55 % 0.47/0.70 57. ((op (e4) (e4)) = (e1)) ((op (e4) (e4)) != (e1)) ### Axiom % 0.47/0.70 58. (-. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e4)) = (e1)) ### ConjTree 57 % 0.47/0.70 59. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 60. ((e0) != (e0)) ### NotEqual % 0.47/0.70 61. ((op (unit) (e0)) != (op (e0) (e0))) ((unit) = (e0)) ### NotEqual 59 60 % 0.47/0.70 62. ((op (unit) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### Trans 61 60 % 0.47/0.70 63. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 64. ((op (e0) (unit)) != (op (e0) (e0))) ((unit) = (e0)) ### NotEqual 60 63 % 0.47/0.70 65. ((op (e0) (unit)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### Trans 64 60 % 0.47/0.70 66. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 67. ((e1) != (e1)) ### NotEqual % 0.47/0.70 68. ((op (unit) (e1)) != (op (e0) (e1))) ((unit) = (e0)) ### NotEqual 66 67 % 0.47/0.70 69. ((op (unit) (e1)) != (e1)) ((op (e0) (e1)) = (e1)) ((unit) = (e0)) ### Trans 68 67 % 0.47/0.70 70. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 71. ((op (e1) (unit)) != (op (e1) (e0))) ((unit) = (e0)) ### NotEqual 67 70 % 0.47/0.70 72. ((op (e1) (unit)) != (e1)) ((op (e1) (e0)) = (e1)) ((unit) = (e0)) ### Trans 71 67 % 0.47/0.70 73. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 74. ((e2) != (e2)) ### NotEqual % 0.47/0.70 75. ((op (unit) (e2)) != (op (e0) (e2))) ((unit) = (e0)) ### NotEqual 73 74 % 0.47/0.70 76. ((op (unit) (e2)) != (e2)) ((op (e0) (e2)) = (e2)) ((unit) = (e0)) ### Trans 75 74 % 0.47/0.70 77. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 78. ((op (e2) (unit)) != (op (e2) (e0))) ((unit) = (e0)) ### NotEqual 74 77 % 0.47/0.70 79. ((op (e2) (unit)) != (e2)) ((op (e2) (e0)) = (e2)) ((unit) = (e0)) ### Trans 78 74 % 0.47/0.70 80. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 81. ((e3) != (e3)) ### NotEqual % 0.47/0.70 82. ((op (unit) (e3)) != (op (e0) (e3))) ((unit) = (e0)) ### NotEqual 80 81 % 0.47/0.70 83. ((op (unit) (e3)) != (e3)) ((op (e0) (e3)) = (e3)) ((unit) = (e0)) ### Trans 82 81 % 0.47/0.70 84. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 85. ((op (e3) (unit)) != (op (e3) (e0))) ((unit) = (e0)) ### NotEqual 81 84 % 0.47/0.70 86. ((op (e3) (unit)) != (e3)) ((op (e3) (e0)) = (e3)) ((unit) = (e0)) ### Trans 85 81 % 0.47/0.70 87. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 88. ((op (unit) (e4)) != (op (e0) (e4))) ((unit) = (e0)) ### NotEqual 87 5 % 0.47/0.70 89. ((op (unit) (e4)) != (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e0)) ### Trans 88 5 % 0.47/0.70 90. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 91. ((op (e4) (unit)) != (op (e4) (e0))) ((unit) = (e0)) ### NotEqual 5 90 % 0.47/0.70 92. ((op (e4) (unit)) != (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e0)) ### Trans 91 5 % 0.47/0.70 93. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.47/0.70 94. (-. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4))))))) ((unit) = (e0)) ### ConjTree 93 % 0.47/0.70 95. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 0.47/0.70 96. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e3)) = (e0)) \/ ((op (e0) (e4)) = (e0))))))) ((op (e0) (e0)) = (e0)) ### ConjTree 95 % 0.47/0.70 97. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 0.47/0.70 98. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e0)) \/ ((op (e4) (e0)) = (e0))))))) ((op (e0) (e0)) = (e0)) ### ConjTree 97 % 0.47/0.70 99. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 0.47/0.70 100. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1))))))) ((op (e0) (e1)) = (e1)) ### ConjTree 99 % 0.47/0.70 101. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 0.47/0.70 102. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e1)) \/ ((op (e4) (e0)) = (e1))))))) ((op (e1) (e0)) = (e1)) ### ConjTree 101 % 0.47/0.70 103. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 0.47/0.70 104. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e4)) = (e2))))))) ((op (e0) (e2)) = (e2)) ### ConjTree 103 % 0.47/0.70 105. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 0.47/0.70 106. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2))))))) ((op (e2) (e0)) = (e2)) ### ConjTree 105 % 0.47/0.70 107. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 0.47/0.70 108. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e4)) = (e3))))))) ((op (e0) (e3)) = (e3)) ### ConjTree 107 % 0.47/0.70 109. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 0.47/0.70 110. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e3))))))) ((op (e3) (e0)) = (e3)) ### ConjTree 109 % 0.47/0.70 111. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 0.47/0.70 112. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4))))))) ((op (e0) (e4)) = (e4)) ### ConjTree 111 % 0.47/0.70 113. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 0.47/0.70 114. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4))))))) ((op (e4) (e0)) = (e4)) ### ConjTree 113 % 0.47/0.70 115. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom % 0.47/0.70 116. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ ((op (e1) (e4)) = (e0))))))) ((op (e1) (e4)) = (e0)) ### ConjTree 115 % 0.47/0.70 117. ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (e0)) ### Axiom % 0.47/0.70 118. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ ((op (e4) (e1)) = (e0))))))) ((op (e3) (e1)) = (e0)) ### ConjTree 117 % 0.47/0.70 119. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 0.47/0.70 120. (-. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ ((op (e1) (e4)) = (e1))))))) ((op (e1) (e0)) = (e1)) ### ConjTree 119 % 0.47/0.70 121. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 0.47/0.70 122. (-. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1))))))) ((op (e0) (e1)) = (e1)) ### ConjTree 121 % 0.47/0.70 123. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 0.47/0.70 124. (-. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e4)) = (e2))))))) ((op (e1) (e1)) = (e2)) ### ConjTree 123 % 0.47/0.70 125. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom % 0.47/0.70 126. (-. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2))))))) ((op (e1) (e1)) = (e2)) ### ConjTree 125 % 0.47/0.70 127. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 0.47/0.70 128. (-. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3))))))) ((op (e1) (e2)) = (e3)) ### ConjTree 127 % 0.47/0.70 129. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3)) ### Axiom % 0.47/0.70 130. (-. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3))))))) ((op (e4) (e1)) = (e3)) ### ConjTree 129 % 0.47/0.70 131. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom % 0.47/0.70 132. (-. (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4))))))) ((op (e1) (e3)) = (e4)) ### ConjTree 131 % 0.47/0.70 133. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 0.47/0.70 134. (-. (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4))))))) ((op (e2) (e1)) = (e4)) ### ConjTree 133 % 0.47/0.70 135. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 0.47/0.70 136. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e2) (e4)) = (e0))))))) ((op (e2) (e3)) = (e0)) ### ConjTree 135 % 0.47/0.70 137. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom % 0.47/0.70 138. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e4) (e2)) = (e0))))))) ((op (e4) (e2)) = (e0)) ### ConjTree 137 % 0.47/0.70 139. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 0.47/0.70 140. (-. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1))))))) ((op (e2) (e2)) = (e1)) ### ConjTree 139 % 0.47/0.70 141. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom % 0.47/0.70 142. (-. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e4) (e2)) = (e1))))))) ((op (e2) (e2)) = (e1)) ### ConjTree 141 % 0.47/0.70 143. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 0.47/0.70 144. (-. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e4)) = (e2))))))) ((op (e2) (e0)) = (e2)) ### ConjTree 143 % 0.47/0.70 145. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 0.47/0.70 146. (-. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e4) (e2)) = (e2))))))) ((op (e0) (e2)) = (e2)) ### ConjTree 145 % 0.47/0.70 147. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom % 0.47/0.70 148. (-. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3))))))) ((op (e2) (e4)) = (e3)) ### ConjTree 147 % 0.47/0.70 149. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 0.47/0.70 150. (-. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e3))))))) ((op (e1) (e2)) = (e3)) ### ConjTree 149 % 0.47/0.70 151. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 0.47/0.70 152. (-. (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4))))))) ((op (e2) (e1)) = (e4)) ### ConjTree 151 % 0.47/0.70 153. ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (e4)) ### Axiom % 0.47/0.70 154. (-. (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4))))))) ((op (e3) (e2)) = (e4)) ### ConjTree 153 % 0.47/0.70 155. ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (e0)) ### Axiom % 0.47/0.70 156. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e3) (e4)) = (e0))))))) ((op (e3) (e1)) = (e0)) ### ConjTree 155 % 0.47/0.70 157. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 0.47/0.70 158. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e4) (e3)) = (e0))))))) ((op (e2) (e3)) = (e0)) ### ConjTree 157 % 0.47/0.70 159. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 0.47/0.70 160. (-. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e3) (e4)) = (e1))))))) ((op (e3) (e3)) = (e1)) ### ConjTree 159 % 0.47/0.70 161. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 0.47/0.70 162. (-. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1))))))) ((op (e3) (e3)) = (e1)) ### ConjTree 161 % 0.47/0.70 163. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom % 0.47/0.70 164. (-. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2))))))) ((op (e3) (e4)) = (e2)) ### ConjTree 163 % 0.47/0.70 165. ((op (e4) (e3)) = (e2)) ((op (e4) (e3)) != (e2)) ### Axiom % 0.47/0.70 166. (-. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e4) (e3)) = (e2))))))) ((op (e4) (e3)) = (e2)) ### ConjTree 165 % 0.47/0.70 167. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 0.47/0.70 168. (-. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e4)) = (e3))))))) ((op (e3) (e0)) = (e3)) ### ConjTree 167 % 0.47/0.70 169. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 0.47/0.70 170. (-. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e3))))))) ((op (e0) (e3)) = (e3)) ### ConjTree 169 % 0.47/0.70 171. ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (e4)) ### Axiom % 0.47/0.70 172. (-. (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4))))))) ((op (e3) (e2)) = (e4)) ### ConjTree 171 % 0.47/0.70 173. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom % 0.47/0.70 174. (-. (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4))))))) ((op (e1) (e3)) = (e4)) ### ConjTree 173 % 0.47/0.70 175. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom % 0.47/0.70 176. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0))))))) ((op (e4) (e2)) = (e0)) ### ConjTree 175 % 0.47/0.70 177. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom % 0.47/0.70 178. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ ((op (e4) (e4)) = (e0))))))) ((op (e1) (e4)) = (e0)) ### ConjTree 177 % 0.47/0.70 179. ((op (e4) (e4)) = (e1)) ((op (e4) (e4)) != (e1)) ### Axiom % 0.47/0.70 180. (-. (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ ((op (e4) (e4)) = (e1))))))) ((op (e4) (e4)) = (e1)) ### ConjTree 179 % 0.47/0.70 181. ((op (e4) (e4)) = (e1)) ((op (e4) (e4)) != (e1)) ### Axiom % 0.47/0.70 182. (-. (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1))))))) ((op (e4) (e4)) = (e1)) ### ConjTree 181 % 0.47/0.70 183. ((op (e4) (e3)) = (e2)) ((op (e4) (e3)) != (e2)) ### Axiom % 0.47/0.70 184. (-. (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e4) (e3)) = (e2)) ### ConjTree 183 % 0.47/0.70 185. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom % 0.47/0.70 186. (-. (((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e3) (e4)) = (e2)) ### ConjTree 185 % 0.47/0.70 187. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3)) ### Axiom % 0.47/0.70 188. (-. (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3))))))) ((op (e4) (e1)) = (e3)) ### ConjTree 187 % 0.47/0.70 189. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom % 0.47/0.70 190. (-. (((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3))))))) ((op (e2) (e4)) = (e3)) ### ConjTree 189 % 0.47/0.70 191. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 0.47/0.70 192. (-. (((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e0)) = (e4)) ### ConjTree 191 % 0.47/0.70 193. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 0.47/0.70 194. (-. (((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e0) (e4)) = (e4)) ### ConjTree 193 % 0.47/0.70 195. (-. (((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0)))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e0) (e1)) != (e0)))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e0) (e2)) != (e0)))) \/ ((((op (e0) (e0)) = (e3)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e0) (e3)) != (e0)))) \/ ((((op (e0) (e0)) = (e4)) /\ (((op (e4) (e4)) = (e0)) /\ ((op (e0) (e4)) != (e0)))) \/ ((((op (e1) (e1)) = (e0)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e1) (e0)) != (e1)))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1)))) \/ ((((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e1) (e2)) != (e1)))) \/ ((((op (e1) (e1)) = (e3)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e1) (e3)) != (e1)))) \/ ((((op (e1) (e1)) = (e4)) /\ (((op (e4) (e4)) = (e1)) /\ ((op (e1) (e4)) != (e1)))) \/ ((((op (e2) (e2)) = (e0)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e2) (e0)) != (e2)))) \/ ((((op (e2) (e2)) = (e1)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e2) (e1)) != (e2)))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2)))) \/ ((((op (e2) (e2)) = (e3)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e2) (e3)) != (e2)))) \/ ((((op (e2) (e2)) = (e4)) /\ (((op (e4) (e4)) = (e2)) /\ ((op (e2) (e4)) != (e2)))) \/ ((((op (e3) (e3)) = (e0)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e3) (e0)) != (e3)))) \/ ((((op (e3) (e3)) = (e1)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e3) (e1)) != (e3)))) \/ ((((op (e3) (e3)) = (e2)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e2)) != (e3)))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))) \/ ((((op (e3) (e3)) = (e4)) /\ (((op (e4) (e4)) = (e3)) /\ ((op (e3) (e4)) != (e3)))) \/ ((((op (e4) (e4)) = (e0)) /\ (((op (e0) (e0)) = (e4)) /\ ((op (e4) (e0)) != (e4)))) \/ ((((op (e4) (e4)) = (e1)) /\ (((op (e1) (e1)) = (e4)) /\ ((op (e4) (e1)) != (e4)))) \/ ((((op (e4) (e4)) = (e2)) /\ (((op (e2) (e2)) = (e4)) /\ ((op (e4) (e2)) != (e4)))) \/ ((((op (e4) (e4)) = (e3)) /\ (((op (e3) (e3)) = (e4)) /\ ((op (e4) (e3)) != (e4)))) \/ (((op (e4) (e4)) = (e4)) /\ (((op (e4) (e4)) = (e4)) /\ ((op (e4) (e4)) != (e4)))))))))))))))))))))))))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ ((op (e0) (e0)) = (e4)))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ ((op (e0) (e1)) = (e4)))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e2)) = (e4)))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e3)) = (e4)))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4)))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ ((op (e1) (e0)) = (e4)))))) /\ ((((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ ((op (e1) (e1)) = (e4)))))) /\ ((((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e2)) = (e4)))))) /\ ((((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e3)) = (e4)))))) /\ ((((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e2) (e0)) = (e4)))))) /\ ((((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) /\ ((((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e2)) = (e4)))))) /\ ((((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e3)) = (e4)))))) /\ ((((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4)))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e4)))))) /\ ((((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e4)))))) /\ ((((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e4)))))) /\ ((((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e4)))))) /\ ((((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((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 (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4)))))) /\ ((((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) /\ ((((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) /\ (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) (e3)) = (e3)) /\ (((op (e3) (unit)) = (e3)) /\ (((op (unit) (e4)) = (e4)) /\ (((op (e4) (unit)) = (e4)) /\ ((((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e3)) = (e0)) \/ ((op (e0) (e4)) = (e0)))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e0)) \/ ((op (e4) (e0)) = (e0)))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e1)) \/ ((op (e4) (e0)) = (e1)))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (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)) \/ 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(((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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 195 % 0.47/0.71 197. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) (-. 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(((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((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 (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4)))))) /\ ((((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) /\ ((((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) /\ (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) 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(((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)) = 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(((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)) = 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(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((unit) = (e0)) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e4)) = (e4)) /\ (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e1) (e2)) = (e3)) /\ (((op (e1) (e3)) = (e4)) /\ (((op (e1) (e4)) = (e0)) /\ (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e1)) = (e4)) /\ (((op (e2) (e2)) = (e1)) /\ (((op (e2) (e3)) = (e0)) /\ (((op (e2) (e4)) = (e3)) /\ (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e1)) = (e0)) /\ (((op (e3) (e2)) = (e4)) /\ (((op (e3) (e3)) = (e1)) /\ (((op (e3) (e4)) = (e2)) /\ (((op (e4) (e0)) = (e4)) /\ (((op (e4) (e1)) = (e3)) /\ (((op (e4) (e2)) = (e0)) /\ (((op (e4) (e3)) = (e2)) /\ ((op (e4) (e4)) = (e1)))))))))))))))))))))))))) ### ConjTree 196 % 0.47/0.71 % SZS output end Proof % 0.47/0.71 (* END-PROOF *) %------------------------------------------------------------------------------