%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG090+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 : n024.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 0.44s 0.62s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ALG090+1 : TPTP v8.1.0. Released v2.7.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n024.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Wed Jun 8 17:59:19 EDT 2022 % 0.13/0.33 % CPUTime : % 0.44/0.62 % SZS status Theorem % 0.44/0.62 (* PROOF-FOUND *) % 0.44/0.62 (* BEGIN-PROOF *) % 0.44/0.62 % SZS output start Proof % 0.44/0.62 1. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 0.44/0.62 2. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0))))))) ((op (e0) (e0)) = (e0)) ### ConjTree 1 % 0.44/0.62 3. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 0.44/0.62 4. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e4)) = (e1))))))) ((op (e3) (e3)) = (e1)) ### ConjTree 3 % 0.44/0.62 5. ((op (e4) (e4)) = (e2)) ((op (e4) (e4)) != (e2)) ### Axiom % 0.44/0.62 6. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e4) (e4)) = (e2)) ### ConjTree 5 % 0.44/0.62 7. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 0.44/0.62 8. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3))))))) ((op (e2) (e2)) = (e3)) ### ConjTree 7 % 0.44/0.62 9. ((op (e1) (e1)) = (e4)) ((op (e1) (e1)) != (e4)) ### Axiom % 0.44/0.62 10. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e1) (e1)) = (e4)) ### ConjTree 9 % 0.44/0.62 11. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 0.44/0.62 12. (-. (((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 11 % 0.44/0.62 13. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 0.44/0.62 14. (-. (((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 13 % 0.44/0.62 15. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 0.44/0.62 16. (-. (((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 15 % 0.44/0.62 17. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 0.44/0.62 18. (-. (((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 17 % 0.44/0.62 19. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 0.44/0.62 20. (-. (((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 19 % 0.44/0.62 21. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 0.44/0.62 22. (-. (((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 21 % 0.44/0.62 23. ((op (e1) (e1)) = (e4)) ((op (e1) (e1)) != (e4)) ### Axiom % 0.44/0.62 24. (-. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ ((op (e1) (e1)) = (e4))))))) ((op (e1) (e1)) = (e4)) ### ConjTree 23 % 0.44/0.62 25. ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (e0)) ### Axiom % 0.44/0.62 26. (-. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e2)) = (e4))))))) ((op (e1) (e2)) = (e0)) ### ConjTree 25 % 0.44/0.62 27. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 0.44/0.62 28. (-. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e3)) = (e4))))))) ((op (e1) (e3)) = (e2)) ### ConjTree 27 % 0.44/0.62 29. ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (e3)) ### Axiom % 0.44/0.62 30. (-. (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4))))))) ((op (e1) (e4)) = (e3)) ### ConjTree 29 % 0.44/0.62 31. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 0.44/0.62 32. (-. (((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 31 % 0.44/0.62 33. ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (e0)) ### Axiom % 0.44/0.62 34. (-. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4))))))) ((op (e2) (e1)) = (e0)) ### ConjTree 33 % 0.44/0.62 35. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 0.44/0.62 36. (-. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e2)) = (e4))))))) ((op (e2) (e2)) = (e3)) ### ConjTree 35 % 0.44/0.62 37. ((op (e2) (e3)) = (e4)) ((op (e2) (e3)) != (e4)) ### Axiom % 0.44/0.62 38. (-. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e3)) = (e4))))))) ((op (e2) (e3)) = (e4)) ### ConjTree 37 % 0.44/0.62 39. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 0.44/0.62 40. (-. (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4))))))) ((op (e2) (e4)) = (e1)) ### ConjTree 39 % 0.44/0.62 41. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 0.44/0.62 42. (-. (((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 41 % 0.44/0.62 43. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2)) ### Axiom % 0.44/0.62 44. (-. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e4))))))) ((op (e3) (e1)) = (e2)) ### ConjTree 43 % 0.44/0.62 45. ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (e4)) ### Axiom % 0.44/0.62 46. (-. (((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 45 % 0.44/0.62 47. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 0.44/0.62 48. (-. (((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 47 % 0.44/0.62 49. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 0.44/0.62 50. (-. (((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e3) (e4)) = (e4))))))) ((op (e3) (e4)) = (e0)) ### ConjTree 49 % 0.44/0.62 51. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 0.44/0.62 52. (-. (((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 51 % 0.44/0.62 53. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3)) ### Axiom % 0.44/0.62 54. (-. (((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 53 % 0.44/0.62 55. ((op (e4) (e2)) = (e1)) ((op (e4) (e2)) != (e1)) ### Axiom % 0.44/0.62 56. (-. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4))))))) ((op (e4) (e2)) = (e1)) ### ConjTree 55 % 0.44/0.62 57. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 0.44/0.62 58. (-. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4))))))) ((op (e4) (e3)) = (e0)) ### ConjTree 57 % 0.44/0.62 59. ((op (e4) (e4)) = (e2)) ((op (e4) (e4)) != (e2)) ### Axiom % 0.44/0.62 60. (-. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e4)) = (e2)) ### ConjTree 59 % 0.44/0.62 61. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 62. ((e0) != (e0)) ### NotEqual % 0.44/0.62 63. ((op (unit) (e0)) != (op (e0) (e0))) ((unit) = (e0)) ### NotEqual 61 62 % 0.44/0.62 64. ((op (unit) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### Trans 63 62 % 0.44/0.62 65. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 66. ((op (e0) (unit)) != (op (e0) (e0))) ((unit) = (e0)) ### NotEqual 62 65 % 0.44/0.62 67. ((op (e0) (unit)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### Trans 66 62 % 0.44/0.62 68. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 69. ((e1) != (e1)) ### NotEqual % 0.44/0.62 70. ((op (unit) (e1)) != (op (e0) (e1))) ((unit) = (e0)) ### NotEqual 68 69 % 0.44/0.62 71. ((op (unit) (e1)) != (e1)) ((op (e0) (e1)) = (e1)) ((unit) = (e0)) ### Trans 70 69 % 0.44/0.62 72. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 73. ((op (e1) (unit)) != (op (e1) (e0))) ((unit) = (e0)) ### NotEqual 69 72 % 0.44/0.62 74. ((op (e1) (unit)) != (e1)) ((op (e1) (e0)) = (e1)) ((unit) = (e0)) ### Trans 73 69 % 0.44/0.62 75. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 76. ((e2) != (e2)) ### NotEqual % 0.44/0.62 77. ((op (unit) (e2)) != (op (e0) (e2))) ((unit) = (e0)) ### NotEqual 75 76 % 0.44/0.62 78. ((op (unit) (e2)) != (e2)) ((op (e0) (e2)) = (e2)) ((unit) = (e0)) ### Trans 77 76 % 0.44/0.62 79. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 80. ((op (e2) (unit)) != (op (e2) (e0))) ((unit) = (e0)) ### NotEqual 76 79 % 0.44/0.62 81. ((op (e2) (unit)) != (e2)) ((op (e2) (e0)) = (e2)) ((unit) = (e0)) ### Trans 80 76 % 0.44/0.62 82. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 83. ((e3) != (e3)) ### NotEqual % 0.44/0.62 84. ((op (unit) (e3)) != (op (e0) (e3))) ((unit) = (e0)) ### NotEqual 82 83 % 0.44/0.62 85. ((op (unit) (e3)) != (e3)) ((op (e0) (e3)) = (e3)) ((unit) = (e0)) ### Trans 84 83 % 0.44/0.62 86. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 87. ((op (e3) (unit)) != (op (e3) (e0))) ((unit) = (e0)) ### NotEqual 83 86 % 0.44/0.62 88. ((op (e3) (unit)) != (e3)) ((op (e3) (e0)) = (e3)) ((unit) = (e0)) ### Trans 87 83 % 0.44/0.62 89. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 90. ((e4) != (e4)) ### NotEqual % 0.44/0.62 91. ((op (unit) (e4)) != (op (e0) (e4))) ((unit) = (e0)) ### NotEqual 89 90 % 0.44/0.62 92. ((op (unit) (e4)) != (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e0)) ### Trans 91 90 % 0.44/0.62 93. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 94. ((op (e4) (unit)) != (op (e4) (e0))) ((unit) = (e0)) ### NotEqual 90 93 % 0.44/0.62 95. ((op (e4) (unit)) != (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e0)) ### Trans 94 90 % 0.44/0.62 96. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 0.44/0.62 97. (-. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4))))))) ((unit) = (e0)) ### ConjTree 96 % 0.44/0.62 98. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 0.44/0.62 99. (-. (((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 98 % 0.44/0.62 100. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 0.44/0.62 101. (-. (((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 100 % 0.44/0.62 102. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 0.44/0.62 103. (-. (((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 102 % 0.44/0.62 104. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 0.44/0.62 105. (-. (((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 104 % 0.44/0.62 106. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 0.44/0.62 107. (-. (((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 106 % 0.44/0.62 108. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 0.44/0.62 109. (-. (((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 108 % 0.44/0.62 110. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 0.44/0.62 111. (-. (((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 110 % 0.44/0.62 112. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 0.44/0.62 113. (-. (((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 112 % 0.44/0.62 114. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 0.44/0.62 115. (-. (((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 114 % 0.44/0.62 116. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 0.44/0.62 117. (-. (((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 116 % 0.44/0.62 118. ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (e0)) ### Axiom % 0.44/0.62 119. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ ((op (e1) (e4)) = (e0))))))) ((op (e1) (e2)) = (e0)) ### ConjTree 118 % 0.44/0.62 120. ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (e0)) ### Axiom % 0.44/0.62 121. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ ((op (e4) (e1)) = (e0))))))) ((op (e2) (e1)) = (e0)) ### ConjTree 120 % 0.44/0.62 122. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 0.44/0.62 123. (-. (((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 122 % 0.44/0.62 124. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 0.44/0.62 125. (-. (((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 124 % 0.44/0.62 126. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 0.44/0.62 127. (-. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e4)) = (e2))))))) ((op (e1) (e3)) = (e2)) ### ConjTree 126 % 0.44/0.62 128. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2)) ### Axiom % 0.44/0.62 129. (-. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2))))))) ((op (e3) (e1)) = (e2)) ### ConjTree 128 % 0.44/0.62 130. ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (e3)) ### Axiom % 0.44/0.62 131. (-. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3))))))) ((op (e1) (e4)) = (e3)) ### ConjTree 130 % 0.44/0.62 132. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3)) ### Axiom % 0.44/0.62 133. (-. (((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 132 % 0.44/0.62 134. ((op (e1) (e1)) = (e4)) ((op (e1) (e1)) != (e4)) ### Axiom % 0.44/0.62 135. (-. (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4))))))) ((op (e1) (e1)) = (e4)) ### ConjTree 134 % 0.44/0.62 136. ((op (e1) (e1)) = (e4)) ((op (e1) (e1)) != (e4)) ### Axiom % 0.44/0.62 137. (-. (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4))))))) ((op (e1) (e1)) = (e4)) ### ConjTree 136 % 0.44/0.62 138. ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (e0)) ### Axiom % 0.44/0.62 139. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e2) (e4)) = (e0))))))) ((op (e2) (e1)) = (e0)) ### ConjTree 138 % 0.44/0.62 140. ((op (e1) (e2)) = (e0)) ((op (e1) (e2)) != (e0)) ### Axiom % 0.44/0.62 141. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e4) (e2)) = (e0))))))) ((op (e1) (e2)) = (e0)) ### ConjTree 140 % 0.44/0.62 142. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 0.44/0.62 143. (-. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1))))))) ((op (e2) (e4)) = (e1)) ### ConjTree 142 % 0.44/0.62 144. ((op (e4) (e2)) = (e1)) ((op (e4) (e2)) != (e1)) ### Axiom % 0.44/0.62 145. (-. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e4) (e2)) = (e1))))))) ((op (e4) (e2)) = (e1)) ### ConjTree 144 % 0.44/0.62 146. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 0.44/0.62 147. (-. (((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 146 % 0.44/0.62 148. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 0.44/0.62 149. (-. (((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 148 % 0.44/0.62 150. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 0.44/0.62 151. (-. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3))))))) ((op (e2) (e2)) = (e3)) ### ConjTree 150 % 0.44/0.62 152. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 0.44/0.62 153. (-. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e3))))))) ((op (e2) (e2)) = (e3)) ### ConjTree 152 % 0.44/0.62 154. ((op (e2) (e3)) = (e4)) ((op (e2) (e3)) != (e4)) ### Axiom % 0.44/0.62 155. (-. (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4))))))) ((op (e2) (e3)) = (e4)) ### ConjTree 154 % 0.44/0.62 156. ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (e4)) ### Axiom % 0.44/0.62 157. (-. (((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 156 % 0.44/0.62 158. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 0.44/0.62 159. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e3) (e4)) = (e0))))))) ((op (e3) (e4)) = (e0)) ### ConjTree 158 % 0.44/0.62 160. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 0.44/0.62 161. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e4) (e3)) = (e0))))))) ((op (e4) (e3)) = (e0)) ### ConjTree 160 % 0.44/0.62 162. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 0.44/0.62 163. (-. (((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 162 % 0.44/0.62 164. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom % 0.44/0.62 165. (-. (((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 164 % 0.44/0.62 166. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2)) ### Axiom % 0.44/0.62 167. (-. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2))))))) ((op (e3) (e1)) = (e2)) ### ConjTree 166 % 0.44/0.62 168. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 0.44/0.62 169. (-. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e4) (e3)) = (e2))))))) ((op (e1) (e3)) = (e2)) ### ConjTree 168 % 0.44/0.62 170. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 0.44/0.62 171. (-. (((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 170 % 0.44/0.62 172. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 0.44/0.62 173. (-. (((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 172 % 0.44/0.62 174. ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (e4)) ### Axiom % 0.44/0.62 175. (-. (((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 174 % 0.44/0.62 176. ((op (e2) (e3)) = (e4)) ((op (e2) (e3)) != (e4)) ### Axiom % 0.44/0.62 177. (-. (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4))))))) ((op (e2) (e3)) = (e4)) ### ConjTree 176 % 0.44/0.62 178. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 0.44/0.62 179. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0))))))) ((op (e4) (e3)) = (e0)) ### ConjTree 178 % 0.44/0.62 180. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 0.44/0.62 181. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ ((op (e4) (e4)) = (e0))))))) ((op (e3) (e4)) = (e0)) ### ConjTree 180 % 0.44/0.62 182. ((op (e4) (e2)) = (e1)) ((op (e4) (e2)) != (e1)) ### Axiom % 0.44/0.62 183. (-. (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ ((op (e4) (e4)) = (e1))))))) ((op (e4) (e2)) = (e1)) ### ConjTree 182 % 0.44/0.62 184. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 0.44/0.62 185. (-. (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1))))))) ((op (e2) (e4)) = (e1)) ### ConjTree 184 % 0.44/0.62 186. ((op (e4) (e4)) = (e2)) ((op (e4) (e4)) != (e2)) ### Axiom % 0.44/0.62 187. (-. (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e4) (e4)) = (e2)) ### ConjTree 186 % 0.44/0.62 188. ((op (e4) (e4)) = (e2)) ((op (e4) (e4)) != (e2)) ### Axiom % 0.44/0.62 189. (-. (((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e4) (e4)) = (e2)) ### ConjTree 188 % 0.44/0.62 190. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3)) ### Axiom % 0.44/0.62 191. (-. (((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 190 % 0.44/0.62 192. ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (e3)) ### Axiom % 0.44/0.62 193. (-. (((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3))))))) ((op (e1) (e4)) = (e3)) ### ConjTree 192 % 0.44/0.62 194. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 0.44/0.62 195. (-. (((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 194 % 0.44/0.62 196. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 0.44/0.62 197. (-. (((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 196 % 0.44/0.62 198. (-. 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(e4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((unit) = (e0)) ((op (e4) (e3)) = (e0)) ((op (e4) (e2)) = (e1)) ((op (e4) (e1)) = (e3)) ((op (e4) (e0)) = (e4)) ((op (e3) (e4)) = (e0)) ((op (e3) (e2)) = (e4)) ((op (e3) (e1)) = (e2)) ((op (e3) (e0)) = (e3)) ((op (e2) (e4)) = (e1)) ((op (e2) (e3)) = (e4)) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e1) (e4)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e0) (e4)) = (e4)) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) = (e4)) ((op (e2) (e2)) = (e3)) ((op (e4) (e4)) = (e2)) ((op (e3) (e3)) = (e1)) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 64 67 71 74 78 81 85 88 92 95 97 99 101 103 105 107 109 111 113 115 117 119 121 123 125 127 129 131 133 135 137 139 141 143 145 147 149 151 153 155 157 159 161 163 165 167 169 171 173 175 177 179 181 183 185 187 189 191 193 195 197 % 0.44/0.62 199. 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(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 198 % 0.44/0.62 % SZS output end Proof % 0.44/0.62 (* END-PROOF *) %------------------------------------------------------------------------------