TSTP Solution File: ALG188+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : ALG188+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 18:06:10 EDT 2022
% Result : Theorem 0.98s 1.14s
% Output : Proof 0.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG188+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n017.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 17:46:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.98/1.14 % SZS status Theorem
% 0.98/1.14 (* PROOF-FOUND *)
% 0.98/1.14 (* BEGIN-PROOF *)
% 0.98/1.14 % SZS output start Proof
% 0.98/1.14 1. ((e0) != (e0)) ### NotEqual
% 0.98/1.14 2. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.98/1.14 3. ((op (e0) (op (e0) (e0))) != (op (e0) (e0))) ((op (e0) (e0)) = (e0)) ### NotEqual 1 2
% 0.98/1.14 4. ((op (e0) (op (e0) (e0))) != (e0)) ((op (e0) (e0)) = (e0)) ### Trans 3 1
% 0.98/1.14 5. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.98/1.14 6. ((op (e0) (op (e0) (e1))) != (op (e0) (e3))) ((op (e0) (e1)) = (e3)) ### NotEqual 1 5
% 0.98/1.14 7. ((e1) != (e1)) ### NotEqual
% 0.98/1.14 8. ((op (e0) (op (e0) (e1))) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) = (e3)) ### Trans 6 7
% 0.98/1.14 9. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.98/1.14 10. ((op (e0) (op (e0) (e2))) != (op (e0) (e4))) ((op (e0) (e2)) = (e4)) ### NotEqual 1 9
% 0.98/1.14 11. ((e2) != (e2)) ### NotEqual
% 0.98/1.14 12. ((op (e0) (op (e0) (e2))) != (e2)) ((op (e0) (e4)) = (e2)) ((op (e0) (e2)) = (e4)) ### Trans 10 11
% 0.98/1.14 13. ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (e1)) ### Axiom
% 0.98/1.14 14. ((op (e0) (op (e0) (e3))) != (op (e0) (e1))) ((op (e0) (e3)) = (e1)) ### NotEqual 1 13
% 0.98/1.14 15. ((e3) != (e3)) ### NotEqual
% 0.98/1.14 16. ((op (e0) (op (e0) (e3))) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e3)) = (e1)) ### Trans 14 15
% 0.98/1.14 17. ((op (e0) (e4)) = (e2)) ((op (e0) (e4)) != (e2)) ### Axiom
% 0.98/1.14 18. ((op (e0) (op (e0) (e4))) != (op (e0) (e2))) ((op (e0) (e4)) = (e2)) ### NotEqual 1 17
% 0.98/1.14 19. ((e4) != (e4)) ### NotEqual
% 0.98/1.14 20. ((op (e0) (op (e0) (e4))) != (e4)) ((op (e0) (e2)) = (e4)) ((op (e0) (e4)) = (e2)) ### Trans 18 19
% 0.98/1.14 21. ((op (e1) (e0)) = (e4)) ((op (e1) (e0)) != (e4)) ### Axiom
% 0.98/1.14 22. ((op (e1) (op (e1) (e0))) != (op (e1) (e4))) ((op (e1) (e0)) = (e4)) ### NotEqual 7 21
% 0.98/1.14 23. ((op (e1) (op (e1) (e0))) != (e0)) ((op (e1) (e4)) = (e0)) ((op (e1) (e0)) = (e4)) ### Trans 22 1
% 0.98/1.14 24. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.98/1.14 25. ((op (e1) (op (e1) (e1))) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ### NotEqual 7 24
% 0.98/1.14 26. ((op (e1) (op (e1) (e1))) != (e1)) ((op (e1) (e1)) = (e1)) ### Trans 25 7
% 0.98/1.14 27. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.98/1.14 28. ((op (e1) (op (e1) (e2))) != (op (e1) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 7 27
% 0.98/1.14 29. ((op (e1) (op (e1) (e2))) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e2)) = (e3)) ### Trans 28 11
% 0.98/1.14 30. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 0.98/1.14 31. ((op (e1) (op (e1) (e3))) != (op (e1) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 7 30
% 0.98/1.14 32. ((op (e1) (op (e1) (e3))) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e3)) = (e2)) ### Trans 31 15
% 0.98/1.14 33. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.98/1.14 34. ((op (e1) (op (e1) (e4))) != (op (e1) (e0))) ((op (e1) (e4)) = (e0)) ### NotEqual 7 33
% 0.98/1.14 35. ((op (e1) (op (e1) (e4))) != (e4)) ((op (e1) (e0)) = (e4)) ((op (e1) (e4)) = (e0)) ### Trans 34 19
% 0.98/1.14 36. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.98/1.14 37. ((op (e2) (op (e2) (e0))) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ### NotEqual 11 36
% 0.98/1.14 38. ((op (e2) (op (e2) (e0))) != (e0)) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) = (e1)) ### Trans 37 1
% 0.98/1.14 39. ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (e0)) ### Axiom
% 0.98/1.14 40. ((op (e2) (op (e2) (e1))) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ### NotEqual 11 39
% 0.98/1.14 41. ((op (e2) (op (e2) (e1))) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) = (e0)) ### Trans 40 7
% 0.98/1.14 42. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.98/1.14 43. ((op (e2) (op (e2) (e2))) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ### NotEqual 11 42
% 0.98/1.14 44. ((op (e2) (op (e2) (e2))) != (e2)) ((op (e2) (e2)) = (e2)) ### Trans 43 11
% 0.98/1.14 45. ((op (e2) (e3)) = (e4)) ((op (e2) (e3)) != (e4)) ### Axiom
% 0.98/1.14 46. ((op (e2) (op (e2) (e3))) != (op (e2) (e4))) ((op (e2) (e3)) = (e4)) ### NotEqual 11 45
% 0.98/1.14 47. ((op (e2) (op (e2) (e3))) != (e3)) ((op (e2) (e4)) = (e3)) ((op (e2) (e3)) = (e4)) ### Trans 46 15
% 0.98/1.14 48. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.98/1.14 49. ((op (e2) (op (e2) (e4))) != (op (e2) (e3))) ((op (e2) (e4)) = (e3)) ### NotEqual 11 48
% 0.98/1.14 50. ((op (e2) (op (e2) (e4))) != (e4)) ((op (e2) (e3)) = (e4)) ((op (e2) (e4)) = (e3)) ### Trans 49 19
% 0.98/1.14 51. ((op (e3) (e0)) = (e2)) ((op (e3) (e0)) != (e2)) ### Axiom
% 0.98/1.14 52. ((op (e3) (op (e3) (e0))) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) ### NotEqual 15 51
% 0.98/1.14 53. ((op (e3) (op (e3) (e0))) != (e0)) ((op (e3) (e2)) = (e0)) ((op (e3) (e0)) = (e2)) ### Trans 52 1
% 0.98/1.14 54. ((op (e3) (e1)) = (e4)) ((op (e3) (e1)) != (e4)) ### Axiom
% 0.98/1.14 55. ((op (e3) (op (e3) (e1))) != (op (e3) (e4))) ((op (e3) (e1)) = (e4)) ### NotEqual 15 54
% 0.98/1.14 56. ((op (e3) (op (e3) (e1))) != (e1)) ((op (e3) (e4)) = (e1)) ((op (e3) (e1)) = (e4)) ### Trans 55 7
% 0.98/1.14 57. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom
% 0.98/1.14 58. ((op (e3) (op (e3) (e2))) != (op (e3) (e0))) ((op (e3) (e2)) = (e0)) ### NotEqual 15 57
% 0.98/1.14 59. ((op (e3) (op (e3) (e2))) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e3) (e2)) = (e0)) ### Trans 58 11
% 0.98/1.14 60. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.98/1.14 61. ((op (e3) (op (e3) (e3))) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ### NotEqual 15 60
% 0.98/1.14 62. ((op (e3) (op (e3) (e3))) != (e3)) ((op (e3) (e3)) = (e3)) ### Trans 61 15
% 0.98/1.14 63. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom
% 0.98/1.14 64. ((op (e3) (op (e3) (e4))) != (op (e3) (e1))) ((op (e3) (e4)) = (e1)) ### NotEqual 15 63
% 0.98/1.14 65. ((op (e3) (op (e3) (e4))) != (e4)) ((op (e3) (e1)) = (e4)) ((op (e3) (e4)) = (e1)) ### Trans 64 19
% 0.98/1.14 66. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.98/1.14 67. ((op (e4) (op (e4) (e0))) != (op (e4) (e3))) ((op (e4) (e0)) = (e3)) ### NotEqual 19 66
% 0.98/1.14 68. ((op (e4) (op (e4) (e0))) != (e0)) ((op (e4) (e3)) = (e0)) ((op (e4) (e0)) = (e3)) ### Trans 67 1
% 0.98/1.14 69. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.98/1.14 70. ((op (e4) (op (e4) (e1))) != (op (e4) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 19 69
% 0.98/1.14 71. ((op (e4) (op (e4) (e1))) != (e1)) ((op (e4) (e2)) = (e1)) ((op (e4) (e1)) = (e2)) ### Trans 70 7
% 0.98/1.14 72. ((op (e4) (e2)) = (e1)) ((op (e4) (e2)) != (e1)) ### Axiom
% 0.98/1.14 73. ((op (e4) (op (e4) (e2))) != (op (e4) (e1))) ((op (e4) (e2)) = (e1)) ### NotEqual 19 72
% 0.98/1.14 74. ((op (e4) (op (e4) (e2))) != (e2)) ((op (e4) (e1)) = (e2)) ((op (e4) (e2)) = (e1)) ### Trans 73 11
% 0.98/1.14 75. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom
% 0.98/1.14 76. ((op (e4) (op (e4) (e3))) != (op (e4) (e0))) ((op (e4) (e3)) = (e0)) ### NotEqual 19 75
% 0.98/1.14 77. ((op (e4) (op (e4) (e3))) != (e3)) ((op (e4) (e0)) = (e3)) ((op (e4) (e3)) = (e0)) ### Trans 76 15
% 0.98/1.14 78. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.98/1.14 79. ((op (e4) (op (e4) (e4))) != (op (e4) (e4))) ((op (e4) (e4)) = (e4)) ### NotEqual 19 78
% 0.98/1.14 80. ((op (e4) (op (e4) (e4))) != (e4)) ((op (e4) (e4)) = (e4)) ### Trans 79 19
% 0.98/1.14 81. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.98/1.14 82. (-. (((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 81
% 0.98/1.14 83. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.98/1.14 84. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ ((op (e0) (e1)) = (e4))))))) ((op (e0) (e1)) = (e3)) ### ConjTree 83
% 0.98/1.14 85. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.98/1.14 86. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e2)) = (e4))))))) ((op (e0) (e2)) = (e4)) ### ConjTree 85
% 0.98/1.14 87. ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (e1)) ### Axiom
% 0.98/1.14 88. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e3)) = (e4))))))) ((op (e0) (e3)) = (e1)) ### ConjTree 87
% 0.98/1.14 89. ((op (e0) (e4)) = (e2)) ((op (e0) (e4)) != (e2)) ### Axiom
% 0.98/1.14 90. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4))))))) ((op (e0) (e4)) = (e2)) ### ConjTree 89
% 0.98/1.14 91. ((op (e1) (e0)) = (e4)) ((op (e1) (e0)) != (e4)) ### Axiom
% 0.98/1.14 92. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ ((op (e1) (e0)) = (e4))))))) ((op (e1) (e0)) = (e4)) ### ConjTree 91
% 0.98/1.14 93. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.98/1.14 94. (-. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ ((op (e1) (e1)) = (e4))))))) ((op (e1) (e1)) = (e1)) ### ConjTree 93
% 0.98/1.14 95. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.98/1.14 96. (-. (((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 95
% 0.98/1.14 97. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 0.98/1.14 98. (-. (((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 97
% 0.98/1.14 99. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.98/1.14 100. (-. (((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 99
% 0.98/1.14 101. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.98/1.14 102. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e2) (e0)) = (e4))))))) ((op (e2) (e0)) = (e1)) ### ConjTree 101
% 0.98/1.14 103. ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (e0)) ### Axiom
% 0.98/1.14 104. (-. (((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 103
% 0.98/1.14 105. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.98/1.14 106. (-. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e2)) = (e4))))))) ((op (e2) (e2)) = (e2)) ### ConjTree 105
% 0.98/1.14 107. ((op (e2) (e3)) = (e4)) ((op (e2) (e3)) != (e4)) ### Axiom
% 0.98/1.14 108. (-. (((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 107
% 0.98/1.14 109. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.98/1.14 110. (-. (((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 109
% 0.98/1.14 111. ((op (e3) (e0)) = (e2)) ((op (e3) (e0)) != (e2)) ### Axiom
% 0.98/1.14 112. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e4))))))) ((op (e3) (e0)) = (e2)) ### ConjTree 111
% 0.98/1.14 113. ((op (e3) (e1)) = (e4)) ((op (e3) (e1)) != (e4)) ### Axiom
% 0.98/1.14 114. (-. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e4))))))) ((op (e3) (e1)) = (e4)) ### ConjTree 113
% 0.98/1.14 115. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom
% 0.98/1.14 116. (-. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e4))))))) ((op (e3) (e2)) = (e0)) ### ConjTree 115
% 0.98/1.14 117. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.98/1.14 118. (-. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e4))))))) ((op (e3) (e3)) = (e3)) ### ConjTree 117
% 0.98/1.14 119. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom
% 0.98/1.14 120. (-. (((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e3) (e4)) = (e4))))))) ((op (e3) (e4)) = (e1)) ### ConjTree 119
% 0.98/1.14 121. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.98/1.14 122. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4))))))) ((op (e4) (e0)) = (e3)) ### ConjTree 121
% 0.98/1.14 123. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.98/1.14 124. (-. (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4))))))) ((op (e4) (e1)) = (e2)) ### ConjTree 123
% 0.98/1.14 125. ((op (e4) (e2)) = (e1)) ((op (e4) (e2)) != (e1)) ### Axiom
% 0.98/1.14 126. (-. (((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 125
% 0.98/1.14 127. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom
% 0.98/1.14 128. (-. (((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 127
% 0.98/1.14 129. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.98/1.14 130. (-. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e4)) = (e4)) ### ConjTree 129
% 0.98/1.14 131. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.98/1.14 132. (-. (((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 131
% 0.98/1.14 133. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.98/1.14 134. (-. (((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 133
% 0.98/1.14 135. ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (e1)) ### Axiom
% 0.98/1.14 136. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1))))))) ((op (e0) (e3)) = (e1)) ### ConjTree 135
% 0.98/1.14 137. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.98/1.14 138. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e1)) \/ ((op (e4) (e0)) = (e1))))))) ((op (e2) (e0)) = (e1)) ### ConjTree 137
% 0.98/1.14 139. ((op (e0) (e4)) = (e2)) ((op (e0) (e4)) != (e2)) ### Axiom
% 0.98/1.14 140. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e4)) = (e2))))))) ((op (e0) (e4)) = (e2)) ### ConjTree 139
% 0.98/1.14 141. ((op (e3) (e0)) = (e2)) ((op (e3) (e0)) != (e2)) ### Axiom
% 0.98/1.14 142. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2))))))) ((op (e3) (e0)) = (e2)) ### ConjTree 141
% 0.98/1.14 143. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.98/1.14 144. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e4)) = (e3))))))) ((op (e0) (e1)) = (e3)) ### ConjTree 143
% 0.98/1.14 145. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.98/1.14 146. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e3))))))) ((op (e4) (e0)) = (e3)) ### ConjTree 145
% 0.98/1.14 147. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.98/1.14 148. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4))))))) ((op (e0) (e2)) = (e4)) ### ConjTree 147
% 0.98/1.14 149. ((op (e1) (e0)) = (e4)) ((op (e1) (e0)) != (e4)) ### Axiom
% 0.98/1.14 150. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4))))))) ((op (e1) (e0)) = (e4)) ### ConjTree 149
% 0.98/1.14 151. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.98/1.14 152. (-. (((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 151
% 0.98/1.14 153. ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (e0)) ### Axiom
% 0.98/1.14 154. (-. (((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 153
% 0.98/1.14 155. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.98/1.14 156. (-. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ ((op (e1) (e4)) = (e1))))))) ((op (e1) (e1)) = (e1)) ### ConjTree 155
% 0.98/1.14 157. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.98/1.14 158. (-. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1))))))) ((op (e1) (e1)) = (e1)) ### ConjTree 157
% 0.98/1.14 159. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 0.98/1.14 160. (-. (((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 159
% 0.98/1.14 161. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.98/1.14 162. (-. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2))))))) ((op (e4) (e1)) = (e2)) ### ConjTree 161
% 0.98/1.14 163. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.98/1.14 164. (-. (((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 163
% 0.98/1.14 165. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.98/1.14 166. (-. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3))))))) ((op (e0) (e1)) = (e3)) ### ConjTree 165
% 0.98/1.14 167. ((op (e1) (e0)) = (e4)) ((op (e1) (e0)) != (e4)) ### Axiom
% 0.98/1.14 168. (-. (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4))))))) ((op (e1) (e0)) = (e4)) ### ConjTree 167
% 0.98/1.14 169. ((op (e3) (e1)) = (e4)) ((op (e3) (e1)) != (e4)) ### Axiom
% 0.98/1.14 170. (-. (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4))))))) ((op (e3) (e1)) = (e4)) ### ConjTree 169
% 0.98/1.14 171. ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (e0)) ### Axiom
% 0.98/1.14 172. (-. (((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 171
% 0.98/1.14 173. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom
% 0.98/1.14 174. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e4) (e2)) = (e0))))))) ((op (e3) (e2)) = (e0)) ### ConjTree 173
% 0.98/1.14 175. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.98/1.14 176. (-. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1))))))) ((op (e2) (e0)) = (e1)) ### ConjTree 175
% 0.98/1.14 177. ((op (e4) (e2)) = (e1)) ((op (e4) (e2)) != (e1)) ### Axiom
% 0.98/1.14 178. (-. (((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 177
% 0.98/1.14 179. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.98/1.14 180. (-. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e4)) = (e2))))))) ((op (e2) (e2)) = (e2)) ### ConjTree 179
% 0.98/1.14 181. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.98/1.14 182. (-. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e4) (e2)) = (e2))))))) ((op (e2) (e2)) = (e2)) ### ConjTree 181
% 0.98/1.14 183. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.98/1.14 184. (-. (((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 183
% 0.98/1.14 185. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.98/1.14 186. (-. (((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 185
% 0.98/1.14 187. ((op (e2) (e3)) = (e4)) ((op (e2) (e3)) != (e4)) ### Axiom
% 0.98/1.14 188. (-. (((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 187
% 0.98/1.14 189. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.98/1.14 190. (-. (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4))))))) ((op (e0) (e2)) = (e4)) ### ConjTree 189
% 0.98/1.14 191. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom
% 0.98/1.14 192. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e3) (e4)) = (e0))))))) ((op (e3) (e2)) = (e0)) ### ConjTree 191
% 0.98/1.14 193. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom
% 0.98/1.14 194. (-. (((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 193
% 0.98/1.14 195. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom
% 0.98/1.14 196. (-. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e3) (e4)) = (e1))))))) ((op (e3) (e4)) = (e1)) ### ConjTree 195
% 0.98/1.14 197. ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (e1)) ### Axiom
% 0.98/1.14 198. (-. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1))))))) ((op (e0) (e3)) = (e1)) ### ConjTree 197
% 0.98/1.14 199. ((op (e3) (e0)) = (e2)) ((op (e3) (e0)) != (e2)) ### Axiom
% 0.98/1.14 200. (-. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2))))))) ((op (e3) (e0)) = (e2)) ### ConjTree 199
% 0.98/1.14 201. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 0.98/1.14 202. (-. (((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 201
% 0.98/1.14 203. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.98/1.14 204. (-. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e4)) = (e3))))))) ((op (e3) (e3)) = (e3)) ### ConjTree 203
% 0.98/1.14 205. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.98/1.14 206. (-. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e3))))))) ((op (e3) (e3)) = (e3)) ### ConjTree 205
% 0.98/1.14 207. ((op (e3) (e1)) = (e4)) ((op (e3) (e1)) != (e4)) ### Axiom
% 0.98/1.14 208. (-. (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4))))))) ((op (e3) (e1)) = (e4)) ### ConjTree 207
% 0.98/1.14 209. ((op (e2) (e3)) = (e4)) ((op (e2) (e3)) != (e4)) ### Axiom
% 0.98/1.14 210. (-. (((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 209
% 0.98/1.14 211. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom
% 0.98/1.14 212. (-. (((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 211
% 0.98/1.14 213. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.98/1.14 214. (-. (((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 213
% 0.98/1.14 215. ((op (e4) (e2)) = (e1)) ((op (e4) (e2)) != (e1)) ### Axiom
% 0.98/1.14 216. (-. (((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 215
% 0.98/1.14 217. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom
% 0.98/1.14 218. (-. (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1))))))) ((op (e3) (e4)) = (e1)) ### ConjTree 217
% 0.98/1.14 219. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.98/1.14 220. (-. (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e4) (e1)) = (e2)) ### ConjTree 219
% 0.98/1.14 221. ((op (e0) (e4)) = (e2)) ((op (e0) (e4)) != (e2)) ### Axiom
% 0.98/1.14 222. (-. (((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e0) (e4)) = (e2)) ### ConjTree 221
% 0.98/1.14 223. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.98/1.14 224. (-. (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3))))))) ((op (e4) (e0)) = (e3)) ### ConjTree 223
% 0.98/1.14 225. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.98/1.14 226. (-. (((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 225
% 0.98/1.14 227. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.98/1.14 228. (-. (((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e4)) = (e4)) ### ConjTree 227
% 0.98/1.14 229. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.98/1.14 230. (-. (((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e4)) = (e4)) ### ConjTree 229
% 0.98/1.14 231. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.98/1.14 232. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.98/1.14 233. ((op (op (e0) (e0)) (op (e0) (e0))) != (op (e0) (e0))) ((op (e0) (e0)) = (e0)) ### NotEqual 231 232
% 0.98/1.14 234. ((op (op (e0) (e0)) (op (e0) (e0))) != (e0)) ((op (e0) (e0)) = (e0)) ### Trans 233 1
% 0.98/1.14 235. ((op (e1) (e0)) = (e4)) ((op (e1) (e0)) != (e4)) ### Axiom
% 0.98/1.14 236. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.98/1.14 237. ((op (op (e1) (e0)) (op (e0) (e1))) != (op (e4) (e3))) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) = (e4)) ### NotEqual 235 236
% 0.98/1.14 238. ((op (op (e1) (e0)) (op (e0) (e1))) != (e0)) ((op (e4) (e3)) = (e0)) ((op (e1) (e0)) = (e4)) ((op (e0) (e1)) = (e3)) ### Trans 237 1
% 0.98/1.14 239. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.98/1.14 240. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.98/1.14 241. ((op (op (e2) (e0)) (op (e0) (e2))) != (op (e1) (e4))) ((op (e0) (e2)) = (e4)) ((op (e2) (e0)) = (e1)) ### NotEqual 239 240
% 0.98/1.14 242. ((op (op (e2) (e0)) (op (e0) (e2))) != (e0)) ((op (e1) (e4)) = (e0)) ((op (e2) (e0)) = (e1)) ((op (e0) (e2)) = (e4)) ### Trans 241 1
% 0.98/1.14 243. ((op (e3) (e0)) = (e2)) ((op (e3) (e0)) != (e2)) ### Axiom
% 0.98/1.14 244. ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (e1)) ### Axiom
% 0.98/1.14 245. ((op (op (e3) (e0)) (op (e0) (e3))) != (op (e2) (e1))) ((op (e0) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) ### NotEqual 243 244
% 0.98/1.14 246. ((op (op (e3) (e0)) (op (e0) (e3))) != (e0)) ((op (e2) (e1)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) ### Trans 245 1
% 0.98/1.14 247. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.98/1.14 248. ((op (e0) (e4)) = (e2)) ((op (e0) (e4)) != (e2)) ### Axiom
% 0.98/1.14 249. ((op (op (e4) (e0)) (op (e0) (e4))) != (op (e3) (e2))) ((op (e0) (e4)) = (e2)) ((op (e4) (e0)) = (e3)) ### NotEqual 247 248
% 0.98/1.14 250. ((op (op (e4) (e0)) (op (e0) (e4))) != (e0)) ((op (e3) (e2)) = (e0)) ((op (e4) (e0)) = (e3)) ((op (e0) (e4)) = (e2)) ### Trans 249 1
% 0.98/1.14 251. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.98/1.14 252. ((op (e1) (e0)) = (e4)) ((op (e1) (e0)) != (e4)) ### Axiom
% 0.98/1.14 253. ((op (op (e0) (e1)) (op (e1) (e0))) != (op (e3) (e4))) ((op (e1) (e0)) = (e4)) ((op (e0) (e1)) = (e3)) ### NotEqual 251 252
% 0.98/1.14 254. ((op (op (e0) (e1)) (op (e1) (e0))) != (e1)) ((op (e3) (e4)) = (e1)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) = (e4)) ### Trans 253 7
% 0.98/1.14 255. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.98/1.14 256. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.98/1.14 257. ((op (op (e1) (e1)) (op (e1) (e1))) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ### NotEqual 255 256
% 0.98/1.14 258. ((op (op (e1) (e1)) (op (e1) (e1))) != (e1)) ((op (e1) (e1)) = (e1)) ### Trans 257 7
% 0.98/1.14 259. ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (e0)) ### Axiom
% 0.98/1.14 260. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.98/1.14 261. ((op (op (e2) (e1)) (op (e1) (e2))) != (op (e0) (e3))) ((op (e1) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) ### NotEqual 259 260
% 0.98/1.14 262. ((op (op (e2) (e1)) (op (e1) (e2))) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) ### Trans 261 7
% 0.98/1.14 263. ((op (e3) (e1)) = (e4)) ((op (e3) (e1)) != (e4)) ### Axiom
% 0.98/1.14 264. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 0.98/1.14 265. ((op (op (e3) (e1)) (op (e1) (e3))) != (op (e4) (e2))) ((op (e1) (e3)) = (e2)) ((op (e3) (e1)) = (e4)) ### NotEqual 263 264
% 0.98/1.14 266. ((op (op (e3) (e1)) (op (e1) (e3))) != (e1)) ((op (e4) (e2)) = (e1)) ((op (e3) (e1)) = (e4)) ((op (e1) (e3)) = (e2)) ### Trans 265 7
% 0.98/1.14 267. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.98/1.14 268. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.98/1.14 269. ((op (op (e4) (e1)) (op (e1) (e4))) != (op (e2) (e0))) ((op (e1) (e4)) = (e0)) ((op (e4) (e1)) = (e2)) ### NotEqual 267 268
% 0.98/1.14 270. ((op (op (e4) (e1)) (op (e1) (e4))) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e1) (e4)) = (e0)) ### Trans 269 7
% 0.98/1.14 271. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.98/1.14 272. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.98/1.14 273. ((op (op (e0) (e2)) (op (e2) (e0))) != (op (e4) (e1))) ((op (e2) (e0)) = (e1)) ((op (e0) (e2)) = (e4)) ### NotEqual 271 272
% 0.98/1.14 274. ((op (op (e0) (e2)) (op (e2) (e0))) != (e2)) ((op (e4) (e1)) = (e2)) ((op (e0) (e2)) = (e4)) ((op (e2) (e0)) = (e1)) ### Trans 273 11
% 0.98/1.14 275. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.98/1.14 276. ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (e0)) ### Axiom
% 0.98/1.14 277. ((op (op (e1) (e2)) (op (e2) (e1))) != (op (e3) (e0))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) ### NotEqual 275 276
% 0.98/1.14 278. ((op (op (e1) (e2)) (op (e2) (e1))) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) ### Trans 277 11
% 0.98/1.14 279. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.98/1.14 280. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.98/1.14 281. ((op (op (e2) (e2)) (op (e2) (e2))) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ### NotEqual 279 280
% 0.98/1.14 282. ((op (op (e2) (e2)) (op (e2) (e2))) != (e2)) ((op (e2) (e2)) = (e2)) ### Trans 281 11
% 0.98/1.14 283. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom
% 0.98/1.14 284. ((op (e2) (e3)) = (e4)) ((op (e2) (e3)) != (e4)) ### Axiom
% 0.98/1.14 285. ((op (op (e3) (e2)) (op (e2) (e3))) != (op (e0) (e4))) ((op (e2) (e3)) = (e4)) ((op (e3) (e2)) = (e0)) ### NotEqual 283 284
% 0.98/1.14 286. ((op (op (e3) (e2)) (op (e2) (e3))) != (e2)) ((op (e0) (e4)) = (e2)) ((op (e3) (e2)) = (e0)) ((op (e2) (e3)) = (e4)) ### Trans 285 11
% 0.98/1.14 287. ((op (e4) (e2)) = (e1)) ((op (e4) (e2)) != (e1)) ### Axiom
% 0.98/1.14 288. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.98/1.14 289. ((op (op (e4) (e2)) (op (e2) (e4))) != (op (e1) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e2)) = (e1)) ### NotEqual 287 288
% 0.98/1.14 290. ((op (op (e4) (e2)) (op (e2) (e4))) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e4) (e2)) = (e1)) ((op (e2) (e4)) = (e3)) ### Trans 289 11
% 0.98/1.14 291. ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (e1)) ### Axiom
% 0.98/1.14 292. ((op (e3) (e0)) = (e2)) ((op (e3) (e0)) != (e2)) ### Axiom
% 0.98/1.14 293. ((op (op (e0) (e3)) (op (e3) (e0))) != (op (e1) (e2))) ((op (e3) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) ### NotEqual 291 292
% 0.98/1.14 294. ((op (op (e0) (e3)) (op (e3) (e0))) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e0) (e3)) = (e1)) ((op (e3) (e0)) = (e2)) ### Trans 293 15
% 0.98/1.14 295. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 0.98/1.14 296. ((op (e3) (e1)) = (e4)) ((op (e3) (e1)) != (e4)) ### Axiom
% 0.98/1.14 297. ((op (op (e1) (e3)) (op (e3) (e1))) != (op (e2) (e4))) ((op (e3) (e1)) = (e4)) ((op (e1) (e3)) = (e2)) ### NotEqual 295 296
% 0.98/1.14 298. ((op (op (e1) (e3)) (op (e3) (e1))) != (e3)) ((op (e2) (e4)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e3) (e1)) = (e4)) ### Trans 297 15
% 0.98/1.14 299. ((op (e2) (e3)) = (e4)) ((op (e2) (e3)) != (e4)) ### Axiom
% 0.98/1.14 300. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom
% 0.98/1.14 301. ((op (op (e2) (e3)) (op (e3) (e2))) != (op (e4) (e0))) ((op (e3) (e2)) = (e0)) ((op (e2) (e3)) = (e4)) ### NotEqual 299 300
% 0.98/1.14 302. ((op (op (e2) (e3)) (op (e3) (e2))) != (e3)) ((op (e4) (e0)) = (e3)) ((op (e2) (e3)) = (e4)) ((op (e3) (e2)) = (e0)) ### Trans 301 15
% 0.98/1.14 303. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.98/1.14 304. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.98/1.14 305. ((op (op (e3) (e3)) (op (e3) (e3))) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ### NotEqual 303 304
% 0.98/1.14 306. ((op (op (e3) (e3)) (op (e3) (e3))) != (e3)) ((op (e3) (e3)) = (e3)) ### Trans 305 15
% 0.98/1.14 307. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom
% 0.98/1.14 308. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom
% 0.98/1.14 309. ((op (op (e4) (e3)) (op (e3) (e4))) != (op (e0) (e1))) ((op (e3) (e4)) = (e1)) ((op (e4) (e3)) = (e0)) ### NotEqual 307 308
% 0.98/1.14 310. ((op (op (e4) (e3)) (op (e3) (e4))) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e4) (e3)) = (e0)) ((op (e3) (e4)) = (e1)) ### Trans 309 15
% 0.98/1.14 311. ((op (e0) (e4)) = (e2)) ((op (e0) (e4)) != (e2)) ### Axiom
% 0.98/1.14 312. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.98/1.14 313. ((op (op (e0) (e4)) (op (e4) (e0))) != (op (e2) (e3))) ((op (e4) (e0)) = (e3)) ((op (e0) (e4)) = (e2)) ### NotEqual 311 312
% 0.98/1.14 314. ((op (op (e0) (e4)) (op (e4) (e0))) != (e4)) ((op (e2) (e3)) = (e4)) ((op (e0) (e4)) = (e2)) ((op (e4) (e0)) = (e3)) ### Trans 313 19
% 0.98/1.14 315. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.98/1.14 316. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.98/1.14 317. ((op (op (e1) (e4)) (op (e4) (e1))) != (op (e0) (e2))) ((op (e4) (e1)) = (e2)) ((op (e1) (e4)) = (e0)) ### NotEqual 315 316
% 0.98/1.14 318. ((op (op (e1) (e4)) (op (e4) (e1))) != (e4)) ((op (e0) (e2)) = (e4)) ((op (e1) (e4)) = (e0)) ((op (e4) (e1)) = (e2)) ### Trans 317 19
% 0.98/1.14 319. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.98/1.14 320. ((op (e4) (e2)) = (e1)) ((op (e4) (e2)) != (e1)) ### Axiom
% 0.98/1.14 321. ((op (op (e2) (e4)) (op (e4) (e2))) != (op (e3) (e1))) ((op (e4) (e2)) = (e1)) ((op (e2) (e4)) = (e3)) ### NotEqual 319 320
% 0.98/1.14 322. ((op (op (e2) (e4)) (op (e4) (e2))) != (e4)) ((op (e3) (e1)) = (e4)) ((op (e2) (e4)) = (e3)) ((op (e4) (e2)) = (e1)) ### Trans 321 19
% 0.98/1.14 323. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom
% 0.98/1.14 324. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom
% 0.98/1.14 325. ((op (op (e3) (e4)) (op (e4) (e3))) != (op (e1) (e0))) ((op (e4) (e3)) = (e0)) ((op (e3) (e4)) = (e1)) ### NotEqual 323 324
% 0.98/1.14 326. ((op (op (e3) (e4)) (op (e4) (e3))) != (e4)) ((op (e1) (e0)) = (e4)) ((op (e3) (e4)) = (e1)) ((op (e4) (e3)) = (e0)) ### Trans 325 19
% 0.98/1.14 327. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.98/1.14 328. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.98/1.14 329. ((op (op (e4) (e4)) (op (e4) (e4))) != (op (e4) (e4))) ((op (e4) (e4)) = (e4)) ### NotEqual 327 328
% 0.98/1.14 330. ((op (op (e4) (e4)) (op (e4) (e4))) != (e4)) ((op (e4) (e4)) = (e4)) ### Trans 329 19
% 0.98/1.14 331. (-. 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(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)))))) /\ (((op (op (e0) (e0)) (op (e0) (e0))) = (e0)) /\ (((op (op (e1) (e0)) (op (e0) (e1))) = (e0)) /\ (((op (op (e2) (e0)) (op (e0) (e2))) = (e0)) /\ (((op (op (e3) (e0)) (op (e0) (e3))) = (e0)) /\ (((op (op (e4) (e0)) (op (e0) (e4))) = (e0)) /\ (((op (op (e0) (e1)) (op (e1) (e0))) = (e1)) /\ (((op (op (e1) (e1)) (op (e1) (e1))) = (e1)) /\ (((op (op (e2) (e1)) (op (e1) (e2))) = (e1)) /\ (((op (op (e3) (e1)) (op (e1) (e3))) = (e1)) /\ (((op (op (e4) (e1)) (op (e1) (e4))) = (e1)) /\ (((op (op (e0) (e2)) (op (e2) (e0))) = (e2)) /\ (((op (op (e1) (e2)) (op (e2) (e1))) = (e2)) /\ (((op (op (e2) (e2)) (op (e2) (e2))) = (e2)) /\ (((op (op (e3) (e2)) (op (e2) (e3))) = (e2)) /\ (((op (op (e4) (e2)) (op (e2) (e4))) = (e2)) /\ (((op (op (e0) (e3)) (op (e3) (e0))) = (e3)) /\ (((op (op (e1) (e3)) (op (e3) (e1))) = (e3)) /\ (((op (op (e2) (e3)) (op (e3) (e2))) = (e3)) /\ (((op (op (e3) (e3)) (op (e3) (e3))) = (e3)) /\ (((op (op (e4) (e3)) (op (e3) (e4))) = (e3)) /\ (((op (op (e0) (e4)) (op (e4) (e0))) = (e4)) /\ (((op (op (e1) (e4)) (op (e4) (e1))) = (e4)) /\ (((op (op (e2) (e4)) (op (e4) (e2))) = (e4)) /\ (((op (op (e3) (e4)) (op (e4) (e3))) = (e4)) /\ ((op (op (e4) (e4)) (op (e4) (e4))) = (e4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 331
% 0.98/1.14 % SZS output end Proof
% 0.98/1.14 (* END-PROOF *)
%------------------------------------------------------------------------------