TSTP Solution File: ALG175+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : ALG175+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 : n025.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 18:06:09 EDT 2022
% Result : Timeout 292.40s 292.65s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : ALG175+1 : TPTP v8.1.0. Released v2.7.0.
% 0.05/0.09 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.08/0.28 % Computer : n025.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Wed Jun 8 20:51:20 EDT 2022
% 0.08/0.28 % CPUTime :
% 292.40/292.65 % SZS status Theorem
% 292.40/292.65 (* PROOF-FOUND *)
% 292.40/292.65 (* BEGIN-PROOF *)
% 292.40/292.65 % SZS output start Proof
% 292.40/292.65 1. ((op (e4) (e0)) = (e0)) ((op (e4) (e0)) != (e0)) ### Axiom
% 292.40/292.65 2. ((e4) = (op (e3) (e1))) ((op (e3) (e1)) != (e4)) ### Sym(=)
% 292.40/292.65 3. ((e3) != (e3)) ### NotEqual
% 292.40/292.65 4. ((op (op (e3) (e1)) (e3)) != (op (e4) (e3))) ((e4) = (op (e3) (e1))) ### NotEqual 2 3
% 292.40/292.65 5. ((op (e4) (e0)) != (op (e4) (e3))) ((e0) = (op (op (e3) (e1)) (e3))) ((e4) = (op (e3) (e1))) ((op (e4) (e0)) = (e0)) ### Trans 1 4
% 292.40/292.65 6. ((e4) != (e4)) ### NotEqual
% 292.40/292.65 7. ((op (e4) (e0)) = (e3)) ((e3) != (op (e4) (e0))) ### Sym(=)
% 292.40/292.65 8. ((op (e4) (e3)) != (op (e4) (op (e4) (e0)))) ((op (e4) (e0)) = (e3)) ### NotEqual 6 7
% 292.40/292.65 9. ((op (e4) (e1)) = (e0)) ((e0) != (op (e4) (e1))) ### Sym(=)
% 292.40/292.65 10. ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e1)) = (e0)) ((op (e4) (e0)) = (e3)) ### Trans-sym 8 9
% 292.40/292.65 11. ((op (e4) (e1)) = (e3)) ((e3) != (op (e4) (e1))) ### Sym(=)
% 292.40/292.65 12. ((op (e4) (e3)) != (op (e4) (op (e4) (e1)))) ((op (e4) (e1)) = (e3)) ### NotEqual 6 11
% 292.40/292.65 13. ((op (e4) (e0)) = (e1)) ((e1) != (op (e4) (e0))) ### Sym(=)
% 292.40/292.65 14. ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e0)) = (e1)) ((op (e4) (e1)) = (e3)) ### Trans-sym 12 13
% 292.40/292.65 15. ((e4) = (op (e3) (e1))) ((e4) != (op (e3) (e1))) ### Axiom
% 292.40/292.65 16. ((e1) != (e1)) ### NotEqual
% 292.40/292.65 17. ((op (e4) (e1)) != (op (op (e3) (e1)) (e1))) ((e4) = (op (e3) (e1))) ### NotEqual 15 16
% 292.40/292.65 18. ((op (e4) (e2)) = (e3)) ((e3) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 19. ((op (e4) (e1)) != (op (e4) (e2))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e2)) = (e3)) ((e4) = (op (e3) (e1))) ### Trans 17 18
% 292.40/292.65 20. ((op (e4) (e3)) = (e3)) ((e3) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 21. ((op (e4) (e1)) != (op (e4) (e3))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e3)) = (e3)) ((e4) = (op (e3) (e1))) ### Trans 17 20
% 292.40/292.65 22. ((op (e4) (e4)) = (e3)) ((e3) != (op (e4) (e4))) ### Sym(=)
% 292.40/292.65 23. ((op (e4) (e1)) != (op (e4) (e4))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e4)) = (e3)) ((e4) = (op (e3) (e1))) ### Trans 17 22
% 292.40/292.65 24. (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (e0)) = (e1)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) = (e0)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e1)) != (op (e4) (e3))) ### DisjTree 10 14 19 21 23
% 292.40/292.65 25. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom
% 292.40/292.65 26. ((op (e4) (e2)) != (op (e4) (e3))) ((e0) = (op (op (e3) (e1)) (e3))) ((e4) = (op (e3) (e1))) ((op (e4) (e2)) = (e0)) ### Trans 25 4
% 292.40/292.65 27. ((op (e4) (e1)) = (e1)) ((e1) != (op (e4) (e1))) ### Sym(=)
% 292.40/292.65 28. ((op (e4) (e1)) != (op (e4) (op (e4) (e1)))) ((op (e4) (e1)) = (e1)) ### NotEqual 6 27
% 292.40/292.65 29. ((op (e4) (e2)) = (e1)) ((e1) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 30. ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e2)) = (e1)) ((op (e4) (e1)) = (e1)) ### Trans 28 29
% 292.40/292.65 31. ((op (e4) (e0)) = (e1)) ((e1) != (op (e4) (e0))) ### Sym(=)
% 292.40/292.65 32. ((op (e4) (e1)) != (op (e4) (op (e4) (e0)))) ((op (e4) (e0)) = (e1)) ### NotEqual 6 31
% 292.40/292.65 33. ((op (e4) (e3)) = (e0)) ((e0) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 34. ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e3)) = (e0)) ((op (e4) (e0)) = (e1)) ### Trans 32 33
% 292.40/292.65 35. ((op (e4) (e3)) = (e1)) ((e1) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 36. ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e3)) = (e1)) ((op (e4) (e1)) = (e1)) ### Trans 28 35
% 292.40/292.65 37. ((op (e4) (e2)) = (e2)) ((e2) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 38. ((op (e4) (e2)) != (op (e4) (op (e4) (e2)))) ((op (e4) (e2)) = (e2)) ### NotEqual 6 37
% 292.40/292.65 39. ((op (e4) (e3)) = (e2)) ((e2) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 40. ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (op (e4) (e2))) = (e2)) ((op (e4) (e3)) = (e2)) ((op (e4) (e2)) = (e2)) ### Trans 38 39
% 292.40/292.65 41. ((op (e4) (e4)) = (e0)) ((op (e4) (e4)) != (e0)) ### Axiom
% 292.40/292.65 42. ((op (e4) (e3)) != (op (e4) (e4))) ((e0) = (op (op (e3) (e1)) (e3))) ((e4) = (op (e3) (e1))) ((op (e4) (e4)) = (e0)) ### Trans-sym 41 4
% 292.40/292.65 43. ((op (e4) (e4)) = (e1)) ((e1) != (op (e4) (e4))) ### Sym(=)
% 292.40/292.65 44. ((op (e4) (e1)) != (op (e4) (op (e4) (e4)))) ((op (e4) (e4)) = (e1)) ### NotEqual 6 43
% 292.40/292.65 45. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 46. ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e4))) = (e4)) ((op (e4) (e3)) = (e4)) ((op (e4) (e4)) = (e1)) ### Trans 44 45
% 292.40/292.65 47. ((op (e4) (e4)) = (e2)) ((e2) != (op (e4) (e4))) ### Sym(=)
% 292.40/292.65 48. ((op (e4) (e2)) != (op (e4) (op (e4) (e4)))) ((op (e4) (e4)) = (e2)) ### NotEqual 6 47
% 292.40/292.65 49. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 50. ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (op (e4) (e4))) = (e4)) ((op (e4) (e3)) = (e4)) ((op (e4) (e4)) = (e2)) ### Trans 48 49
% 292.40/292.65 51. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 52. ((op (e4) (e3)) != (op (op (e4) (e3)) (e3))) ((op (e4) (e3)) = (e4)) ### NotEqual 51 3
% 292.40/292.65 53. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=)
% 292.40/292.65 54. ((op (e4) (e3)) != (op (e4) (e4))) ((op (op (e4) (e3)) (e3)) = (e4)) ((op (e4) (e4)) = (e4)) ((op (e4) (e3)) = (e4)) ### Trans 52 53
% 292.40/292.65 55. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (op (e4) (e3)) (e3)) = (e4)) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (op (e4) (e4))) = (e4)) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) ### DisjTree 42 46 50 23 54
% 292.40/292.65 56. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (op (e4) (e4))) = (e4)) ((op (e4) (e1)) != (op (e4) (e4))) ((op (op (e4) (e3)) (e3)) = (e4)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((e4) = (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e2)) = (e2)) ((op (e4) (op (e4) (e2))) = (e2)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) = (e1)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e0)) = (e1)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e1)) != (op (e4) (e3))) ### DisjTree 34 36 40 21 55
% 292.40/292.65 57. ((op (e4) (e2)) = (e4)) ((e4) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 58. ((op (e4) (e4)) != (op (e4) (op (e4) (e2)))) ((op (e4) (e2)) = (e4)) ### NotEqual 6 57
% 292.40/292.65 59. ((op (e4) (e3)) = (e2)) ((e2) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 60. ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (op (e4) (e2))) = (e2)) ((op (e4) (e3)) = (e2)) ((op (e4) (e2)) = (e4)) ### Trans-sym 58 59
% 292.40/292.65 61. ((op (e4) (e2)) = (e4)) ((e4) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 62. ((e2) != (e2)) ### NotEqual
% 292.40/292.65 63. ((op (e4) (e2)) != (op (op (e4) (e2)) (e2))) ((op (e4) (e2)) = (e4)) ### NotEqual 61 62
% 292.40/292.65 64. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 65. ((op (e4) (e2)) != (op (e4) (e3))) ((op (op (e4) (e2)) (e2)) = (e4)) ((op (e4) (e3)) = (e4)) ((op (e4) (e2)) = (e4)) ### Trans 63 64
% 292.40/292.65 66. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((op (op (e4) (e2)) (e2)) = (e4)) ((op (e4) (e2)) != (op (e4) (e3))) ((e4) = (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e2)) = (e4)) ((op (e4) (op (e4) (e2))) = (e2)) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e1)) = (e1)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e0)) = (e1)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e1)) != (op (e4) (e3))) ### DisjTree 34 36 60 21 65
% 292.40/292.65 67. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((op (op (e4) (e2)) (e2)) = (e4)) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e0)) = (e1)) ((op (e4) (op (e4) (e2))) = (e2)) ((op (op (e3) (e1)) (e1)) = (e3)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (op (e4) (e3)) (e3)) = (e4)) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (op (e4) (e4))) = (e4)) ((op (e4) (e3)) != (op (e4) (e4))) (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (e1)) = (e1)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e1)) != (op (e4) (e2))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ### DisjTree 26 30 56 19 66
% 292.40/292.65 68. ((op (e4) (e1)) = (e2)) ((e2) != (op (e4) (e1))) ### Sym(=)
% 292.40/292.65 69. ((op (e4) (e2)) != (op (e4) (op (e4) (e1)))) ((op (e4) (e1)) = (e2)) ### NotEqual 6 68
% 292.40/292.65 70. ((op (e4) (e3)) = (e1)) ((e1) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 71. ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e3)) = (e1)) ((op (e4) (e1)) = (e2)) ### Trans 69 70
% 292.40/292.65 72. ((op (e4) (e2)) = (e1)) ((e1) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 73. ((op (e4) (e1)) != (op (e4) (op (e4) (e2)))) ((op (e4) (e2)) = (e1)) ### NotEqual 6 72
% 292.40/292.65 74. ((op (e4) (e3)) = (e2)) ((e2) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 75. ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e2))) = (e2)) ((op (e4) (e3)) = (e2)) ((op (e4) (e2)) = (e1)) ### Trans 73 74
% 292.40/292.65 76. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (op (e4) (e4))) = (e4)) ((op (e4) (e1)) != (op (e4) (e4))) ((op (op (e4) (e3)) (e3)) = (e4)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((e4) = (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e2)) = (e1)) ((op (e4) (op (e4) (e2))) = (e2)) ((op (e4) (e1)) = (e2)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e0)) = (e1)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e1)) != (op (e4) (e3))) ### DisjTree 34 71 75 21 55
% 292.40/292.65 77. ((op (e2) (e0)) = (e4)) ((e4) != (op (e2) (e0))) ### Sym(=)
% 292.40/292.65 78. ((e0) != (e0)) ### NotEqual
% 292.40/292.65 79. ((op (e4) (e0)) != (op (op (e2) (e0)) (e0))) ((op (e2) (e0)) = (e4)) ### NotEqual 77 78
% 292.40/292.65 80. ((op (e4) (e2)) = (e2)) ((e2) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 81. ((op (e4) (e0)) != (op (e4) (e2))) ((op (op (e2) (e0)) (e0)) = (e2)) ((op (e4) (e2)) = (e2)) ((op (e2) (e0)) = (e4)) ### Trans 79 80
% 292.40/292.65 82. ((op (e2) (e1)) = (e4)) ((e4) != (op (e2) (e1))) ### Sym(=)
% 292.40/292.65 83. ((op (e4) (e1)) != (op (op (e2) (e1)) (e1))) ((op (e2) (e1)) = (e4)) ### NotEqual 82 16
% 292.40/292.65 84. ((op (e4) (e2)) = (e2)) ((e2) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 85. ((op (e4) (e1)) != (op (e4) (e2))) ((op (op (e2) (e1)) (e1)) = (e2)) ((op (e4) (e2)) = (e2)) ((op (e2) (e1)) = (e4)) ### Trans 83 84
% 292.40/292.65 86. ((op (e2) (e2)) = (e4)) ((e4) != (op (e2) (e2))) ### Sym(=)
% 292.40/292.65 87. ((op (e4) (e2)) != (op (op (e2) (e2)) (e2))) ((op (e2) (e2)) = (e4)) ### NotEqual 86 62
% 292.40/292.65 88. ((op (e4) (e1)) = (e2)) ((e2) != (op (e4) (e1))) ### Sym(=)
% 292.40/292.65 89. ((op (e4) (e1)) != (op (e4) (e2))) ((op (op (e2) (e2)) (e2)) = (e2)) ((op (e4) (e1)) = (e2)) ((op (e2) (e2)) = (e4)) ### Trans-sym 87 88
% 292.40/292.65 90. ((op (e2) (e3)) = (e4)) ((e4) != (op (e2) (e3))) ### Sym(=)
% 292.40/292.65 91. ((op (e4) (e3)) != (op (op (e2) (e3)) (e3))) ((op (e2) (e3)) = (e4)) ### NotEqual 90 3
% 292.40/292.65 92. ((op (e4) (e2)) = (e2)) ((e2) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 93. ((op (e4) (e2)) != (op (e4) (e3))) ((op (op (e2) (e3)) (e3)) = (e2)) ((op (e4) (e2)) = (e2)) ((op (e2) (e3)) = (e4)) ### Trans-sym 91 92
% 292.40/292.65 94. ((op (e2) (e4)) = (e4)) ((e4) != (op (e2) (e4))) ### Sym(=)
% 292.40/292.65 95. ((op (e4) (e4)) != (op (op (e2) (e4)) (e4))) ((op (e2) (e4)) = (e4)) ### NotEqual 94 6
% 292.40/292.65 96. ((op (e4) (e2)) = (e2)) ((e2) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 97. ((op (e4) (e2)) != (op (e4) (e4))) ((op (op (e2) (e4)) (e4)) = (e2)) ((op (e4) (e2)) = (e2)) ((op (e2) (e4)) = (e4)) ### Trans-sym 95 96
% 292.40/292.65 98. (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (op (e2) (e4)) (e4)) = (e2)) ((op (e4) (e2)) != (op (e4) (e4))) ((op (op (e2) (e3)) (e3)) = (e2)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) = (e2)) ((op (op (e2) (e2)) (e2)) = (e2)) ((op (op (e2) (e1)) (e1)) = (e2)) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (e2)) = (e2)) ((op (op (e2) (e0)) (e0)) = (e2)) ((op (e4) (e0)) != (op (e4) (e2))) ### DisjTree 81 85 89 93 97
% 292.40/292.65 99. ((op (e4) (e2)) = (e3)) ((e3) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 100. ((op (e4) (e3)) != (op (e4) (op (e4) (e2)))) ((op (e4) (e2)) = (e3)) ### NotEqual 6 99
% 292.40/292.65 101. ((op (e4) (e1)) = (e2)) ((e2) != (op (e4) (e1))) ### Sym(=)
% 292.40/292.65 102. ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e2))) = (e2)) ((op (e4) (e1)) = (e2)) ((op (e4) (e2)) = (e3)) ### Trans-sym 100 101
% 292.40/292.65 103. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((op (op (e4) (e2)) (e2)) = (e4)) ((e4) = (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e2)) = (e4)) ((op (e4) (op (e4) (e2))) = (e2)) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e1)) = (e2)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e0)) = (e1)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e1)) != (op (e4) (e3))) ### DisjTree 34 71 60 21 65
% 292.40/292.65 104. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((op (op (e4) (e2)) (e2)) = (e4)) ((op (e4) (e0)) != (op (e4) (e2))) ((op (op (e2) (e0)) (e0)) = (e2)) ((op (e4) (e1)) != (op (e4) (e2))) ((op (op (e2) (e1)) (e1)) = (e2)) ((op (op (e2) (e2)) (e2)) = (e2)) ((op (op (e2) (e3)) (e3)) = (e2)) ((op (e4) (e2)) != (op (e4) (e4))) ((op (op (e2) (e4)) (e4)) = (e2)) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e0)) = (e1)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e4) (op (e4) (e2))) = (e2)) ((op (op (e3) (e1)) (e1)) = (e3)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (op (e4) (e3)) (e3)) = (e4)) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (op (e4) (e4))) = (e4)) ((op (e4) (e3)) != (op (e4) (e4))) (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ### DisjTree 26 76 98 102 103
% 292.40/292.65 105. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=)
% 292.40/292.65 106. ((op (e4) (e4)) != (op (e4) (op (e4) (e1)))) ((op (e4) (e1)) = (e4)) ### NotEqual 6 105
% 292.40/292.65 107. ((op (e4) (e2)) = (e1)) ((e1) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 108. ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e2)) = (e1)) ((op (e4) (e1)) = (e4)) ### Trans-sym 106 107
% 292.40/292.65 109. ((op (e4) (e3)) = (e1)) ((e1) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 110. ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e3)) = (e1)) ((op (e4) (e1)) = (e4)) ### Trans-sym 106 109
% 292.40/292.65 111. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (op (e4) (e4))) = (e4)) ((op (e4) (e1)) != (op (e4) (e4))) ((op (op (e4) (e3)) (e3)) = (e4)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((e4) = (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e2)) = (e2)) ((op (e4) (op (e4) (e2))) = (e2)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) = (e4)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e0)) = (e1)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e1)) != (op (e4) (e3))) ### DisjTree 34 110 40 21 55
% 292.40/292.65 112. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((op (op (e4) (e2)) (e2)) = (e4)) ((op (e4) (e2)) != (op (e4) (e3))) ((e4) = (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e2)) = (e4)) ((op (e4) (op (e4) (e2))) = (e2)) ((op (e4) (e1)) = (e4)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e0)) = (e1)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e1)) != (op (e4) (e3))) ### DisjTree 34 110 60 21 65
% 292.40/292.65 113. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((op (op (e4) (e2)) (e2)) = (e4)) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e0)) = (e1)) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (op (e4) (e2))) = (e2)) ((op (op (e3) (e1)) (e1)) = (e3)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (op (e4) (e3)) (e3)) = (e4)) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (op (e4) (e4))) = (e4)) (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (e1)) = (e4)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e2)) != (op (e4) (e4))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ### DisjTree 26 108 111 19 112
% 292.40/292.65 114. (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4)))))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (op (e2) (e4)) (e4)) = (e2)) ((op (e4) (e2)) != (op (e4) (e4))) ((op (op (e2) (e3)) (e3)) = (e2)) ((op (op (e2) (e2)) (e2)) = (e2)) ((op (op (e2) (e1)) (e1)) = (e2)) ((op (op (e2) (e0)) (e0)) = (e2)) ((op (e4) (e0)) != (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e3))) ((e0) = (op (op (e3) (e1)) (e3))) (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (op (e4) (e4))) = (e4)) ((op (op (e4) (e3)) (e3)) = (e4)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (op (e4) (e2))) = (e2)) ((op (op (e4) (e2)) (e2)) = (e4)) (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e0)) = (e1)) ((op (e4) (e1)) != (op (e4) (e2))) ((op (op (e3) (e1)) (e1)) = (e3)) ((e4) = (op (e3) (e1))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ### DisjTree 24 67 104 14 113
% 292.40/292.65 115. ((op (e4) (e1)) = (e0)) ((op (e4) (e1)) != (e0)) ### Axiom
% 292.40/292.65 116. ((op (e4) (e1)) != (op (e4) (e3))) ((e0) = (op (op (e3) (e1)) (e3))) ((e4) = (op (e3) (e1))) ((op (e4) (e1)) = (e0)) ### Trans 115 4
% 292.40/292.65 117. ((op (e4) (e0)) = (e2)) ((e2) != (op (e4) (e0))) ### Sym(=)
% 292.40/292.65 118. ((op (e4) (e2)) != (op (e4) (op (e4) (e0)))) ((op (e4) (e0)) = (e2)) ### NotEqual 6 117
% 292.40/292.65 119. ((op (e4) (e3)) = (e0)) ((e0) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 120. ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e3)) = (e0)) ((op (e4) (e0)) = (e2)) ### Trans 118 119
% 292.40/292.65 121. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e0)) = (e2)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ### DisjTree 5 116 26 120 42
% 292.40/292.65 122. ((op (e4) (e0)) = (e3)) ((e3) != (op (e4) (e0))) ### Sym(=)
% 292.40/292.65 123. ((op (e4) (e0)) != (op (e4) (e1))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e0)) = (e3)) ((e4) = (op (e3) (e1))) ### Trans-sym 17 122
% 292.40/292.65 124. ((op (e0) (e0)) = (e4)) ((e4) != (op (e0) (e0))) ### Sym(=)
% 292.40/292.65 125. ((op (e4) (e0)) != (op (op (e0) (e0)) (e0))) ((op (e0) (e0)) = (e4)) ### NotEqual 124 78
% 292.40/292.65 126. ((op (e4) (e3)) = (e0)) ((e0) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 127. ((op (e4) (e0)) != (op (e4) (e3))) ((op (op (e0) (e0)) (e0)) = (e0)) ((op (e4) (e3)) = (e0)) ((op (e0) (e0)) = (e4)) ### Trans 125 126
% 292.40/292.65 128. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e0) (e0)) = (e4)) ((op (op (e0) (e0)) (e0)) = (e0)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ### DisjTree 5 116 26 127 42
% 292.40/292.65 129. ((op (e0) (e1)) = (e4)) ((e4) != (op (e0) (e1))) ### Sym(=)
% 292.40/292.65 130. ((op (e4) (e1)) != (op (op (e0) (e1)) (e1))) ((op (e0) (e1)) = (e4)) ### NotEqual 129 16
% 292.40/292.65 131. ((op (e4) (e3)) = (e0)) ((e0) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 132. ((op (e4) (e1)) != (op (e4) (e3))) ((op (op (e0) (e1)) (e1)) = (e0)) ((op (e4) (e3)) = (e0)) ((op (e0) (e1)) = (e4)) ### Trans 130 131
% 292.40/292.65 133. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e0) (e1)) = (e4)) ((op (op (e0) (e1)) (e1)) = (e0)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ### DisjTree 5 116 26 132 42
% 292.40/292.65 134. ((op (e0) (e2)) = (e4)) ((e4) != (op (e0) (e2))) ### Sym(=)
% 292.40/292.65 135. ((op (e4) (e2)) != (op (op (e0) (e2)) (e2))) ((op (e0) (e2)) = (e4)) ### NotEqual 134 62
% 292.40/292.65 136. ((op (e4) (e3)) = (e0)) ((e0) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 137. ((op (e4) (e2)) != (op (e4) (e3))) ((op (op (e0) (e2)) (e2)) = (e0)) ((op (e4) (e3)) = (e0)) ((op (e0) (e2)) = (e4)) ### Trans 135 136
% 292.40/292.65 138. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e0) (e2)) = (e4)) ((op (op (e0) (e2)) (e2)) = (e0)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ### DisjTree 5 116 26 137 42
% 292.40/292.65 139. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3))) ### Sym(=)
% 292.40/292.65 140. ((op (e4) (e3)) != (op (op (e0) (e3)) (e3))) ((op (e0) (e3)) = (e4)) ### NotEqual 139 3
% 292.40/292.65 141. ((op (e4) (e1)) = (e0)) ((e0) != (op (e4) (e1))) ### Sym(=)
% 292.40/292.65 142. ((op (e4) (e1)) != (op (e4) (e3))) ((op (op (e0) (e3)) (e3)) = (e0)) ((op (e4) (e1)) = (e0)) ((op (e0) (e3)) = (e4)) ### Trans-sym 140 141
% 292.40/292.65 143. ((op (e4) (e2)) = (e0)) ((e0) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 144. ((op (e4) (e2)) != (op (e4) (e3))) ((op (op (e0) (e3)) (e3)) = (e0)) ((op (e4) (e2)) = (e0)) ((op (e0) (e3)) = (e4)) ### Trans-sym 140 143
% 292.40/292.65 145. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=)
% 292.40/292.65 146. ((op (e4) (e4)) != (op (e4) (op (e4) (e0)))) ((op (e4) (e0)) = (e4)) ### NotEqual 6 145
% 292.40/292.65 147. ((op (e4) (e3)) = (e0)) ((e0) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 148. ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e3)) = (e0)) ((op (e4) (e0)) = (e4)) ### Trans-sym 146 147
% 292.40/292.65 149. ((op (e4) (e4)) = (e0)) ((e0) != (op (e4) (e4))) ### Sym(=)
% 292.40/292.65 150. ((op (e4) (e3)) != (op (e4) (e4))) ((op (op (e0) (e3)) (e3)) = (e0)) ((op (e4) (e4)) = (e0)) ((op (e0) (e3)) = (e4)) ### Trans 140 149
% 292.40/292.65 151. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e4) (e0)) = (e4)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e0) (e3)) = (e4)) ((op (op (e0) (e3)) (e3)) = (e0)) ((op (e4) (e1)) != (op (e4) (e3))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ### DisjTree 5 142 144 148 150
% 292.40/292.65 152. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=)
% 292.40/292.65 153. ((op (e4) (e4)) != (op (op (e0) (e4)) (e4))) ((op (e0) (e4)) = (e4)) ### NotEqual 152 6
% 292.40/292.65 154. ((op (e4) (e0)) = (e0)) ((e0) != (op (e4) (e0))) ### Sym(=)
% 292.40/292.65 155. ((op (e4) (e0)) != (op (e4) (e4))) ((op (op (e0) (e4)) (e4)) = (e0)) ((op (e4) (e0)) = (e0)) ((op (e0) (e4)) = (e4)) ### Trans-sym 153 154
% 292.40/292.65 156. ((op (e4) (e1)) = (e0)) ((e0) != (op (e4) (e1))) ### Sym(=)
% 292.40/292.65 157. ((op (e4) (e1)) != (op (e4) (e4))) ((op (op (e0) (e4)) (e4)) = (e0)) ((op (e4) (e1)) = (e0)) ((op (e0) (e4)) = (e4)) ### Trans-sym 153 156
% 292.40/292.65 158. ((op (e4) (e2)) = (e0)) ((e0) != (op (e4) (e2))) ### Sym(=)
% 292.40/292.65 159. ((op (e4) (e2)) != (op (e4) (e4))) ((op (op (e0) (e4)) (e4)) = (e0)) ((op (e4) (e2)) = (e0)) ((op (e0) (e4)) = (e4)) ### Trans-sym 153 158
% 292.40/292.65 160. ((op (e4) (e3)) = (e0)) ((e0) != (op (e4) (e3))) ### Sym(=)
% 292.40/292.65 161. ((op (e4) (e3)) != (op (e4) (e4))) ((op (op (e0) (e4)) (e4)) = (e0)) ((op (e4) (e3)) = (e0)) ((op (e0) (e4)) = (e4)) ### Trans-sym 153 160
% 292.40/292.65 162. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) ((op (op (e0) (e4)) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 155 157 159 161 42
% 292.40/292.65 163. (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (op (e0) (e4)) (e4)) = (e0)) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (op (e0) (e3)) (e3)) = (e0)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e0)) = (e4)) ((op (op (e0) (e2)) (e2)) = (e0)) ((op (op (e0) (e1)) (e1)) = (e0)) ((op (e4) (e0)) != (op (e4) (e3))) ((e0) = (op (op (e3) (e1)) (e3))) ((e4) = (op (e3) (e1))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (op (e0) (e0)) (e0)) = (e0)) ((op (e4) (e3)) != (op (e4) (e4))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ### DisjTree 128 133 138 151 162
% 292.40/292.65 164. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) ((op (op (e0) (e0)) (e0)) = (e0)) ((op (op (e0) (e1)) (e1)) = (e0)) ((op (op (e0) (e2)) (e2)) = (e0)) ((op (op (e0) (e3)) (e3)) = (e0)) ((op (op (e0) (e4)) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (e1)) != (op (e4) (e3))) (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((op (op (e4) (e2)) (e2)) = (e4)) ((op (e4) (op (e4) (e2))) = (e2)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (op (e4) (e3)) (e3)) = (e4)) ((op (e4) (op (e4) (e4))) = (e4)) ((op (e4) (e3)) != (op (e4) (e4))) (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e2))) ((op (op (e2) (e0)) (e0)) = (e2)) ((op (op (e2) (e1)) (e1)) = (e2)) ((op (op (e2) (e2)) (e2)) = (e2)) ((op (op (e2) (e3)) (e3)) = (e2)) ((op (e4) (e2)) != (op (e4) (e4))) ((op (op (e2) (e4)) (e4)) = (e2)) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4)))))) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ### DisjTree 5 114 121 123 163
% 292.40/292.65 165. 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(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 (e4) (e0)) != (op (e4) (e3))) ((e0) = (op (op (e3) (e1)) (e3))) ((e4) = (op (e3) (e1))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (op (e2) (e4)) (e4)) = (e2)) ((op (e4) (e2)) != (op (e4) (e4))) ((op (op (e2) (e3)) (e3)) = (e2)) ((op (op (e2) (e2)) (e2)) = (e2)) ((op (op (e2) (e1)) (e1)) = (e2)) ((op (op (e2) (e0)) (e0)) = (e2)) ((op (e4) (e0)) != (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (op (e4) (e4))) = (e4)) ((op (op (e4) (e3)) (e3)) = (e4)) ((op (e4) (op (e4) (e2))) = (e2)) ((op (op (e4) (e2)) (e2)) = (e4)) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (e4) (e1)) != (op (e4) (e2))) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (op (e0) (e4)) (e4)) = (e0)) ((op (op (e0) (e3)) (e3)) = (e0)) ((op (op (e0) (e2)) (e2)) = (e0)) ((op (op (e0) (e1)) (e1)) = (e0)) ((op (op (e0) (e0)) (e0)) = (e0)) ### ConjTree 164
% 292.40/292.65 166. 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(e1)) = (e2)) ((op (op (e2) (e2)) (e2)) = (e2)) ((op (op (e2) (e3)) (e3)) = (e2)) ((op (e4) (e2)) != (op (e4) (e4))) ((op (op (e2) (e4)) (e4)) = (e2)) ((e4) = (op (e3) (e1))) ((e0) = (op (op (e3) (e1)) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((((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 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\/ (((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)))))))))))))))))))))))))))))) ### ConjTree 165
% 292.40/292.65 167. 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(e3) (e2))) /\ (((op (e1) (e2)) != (op (e4) (e2))) /\ (((op (e2) (e2)) != (op (e3) (e2))) /\ (((op (e2) (e2)) != (op (e4) (e2))) /\ (((op (e3) (e2)) != (op (e4) (e2))) /\ (((op (e0) (e3)) != (op (e1) (e3))) /\ (((op (e0) (e3)) != (op (e2) (e3))) /\ (((op (e0) (e3)) != (op (e3) (e3))) /\ (((op (e0) (e3)) != (op (e4) (e3))) /\ (((op (e1) (e3)) != (op (e2) (e3))) /\ (((op (e1) (e3)) != (op (e3) (e3))) /\ (((op (e1) (e3)) != (op (e4) (e3))) /\ (((op (e2) (e3)) != (op (e3) (e3))) /\ (((op (e2) (e3)) != (op (e4) (e3))) /\ (((op (e3) (e3)) != (op (e4) (e3))) /\ (((op (e0) (e4)) != (op (e1) (e4))) /\ (((op (e0) (e4)) != (op (e2) (e4))) /\ (((op (e0) (e4)) != (op (e3) (e4))) /\ (((op (e0) (e4)) != (op (e4) (e4))) /\ (((op (e1) (e4)) != (op (e2) (e4))) /\ (((op (e1) (e4)) != (op (e3) (e4))) /\ (((op (e1) (e4)) != (op (e4) (e4))) /\ (((op (e2) (e4)) != (op (e3) (e4))) /\ (((op (e2) (e4)) != (op (e4) (e4))) /\ (((op (e3) (e4)) != (op (e4) (e4))) /\ (((op (e0) (e0)) != (op (e0) (e1))) /\ (((op (e0) (e0)) != (op (e0) (e2))) /\ (((op (e0) (e0)) != (op (e0) (e3))) /\ (((op (e0) (e0)) != (op (e0) (e4))) /\ (((op (e0) (e1)) != (op (e0) (e2))) /\ (((op (e0) (e1)) != (op (e0) (e3))) /\ (((op (e0) (e1)) != (op (e0) (e4))) /\ (((op (e0) (e2)) != (op (e0) (e3))) /\ (((op (e0) (e2)) != (op (e0) (e4))) /\ (((op (e0) (e3)) != (op (e0) (e4))) /\ (((op (e1) (e0)) != (op (e1) (e1))) /\ (((op (e1) (e0)) != (op (e1) (e2))) /\ (((op (e1) (e0)) != (op (e1) (e3))) /\ (((op (e1) (e0)) != (op (e1) (e4))) /\ (((op (e1) (e1)) != (op (e1) (e2))) /\ (((op (e1) (e1)) != (op (e1) (e3))) /\ (((op (e1) (e1)) != (op (e1) (e4))) /\ (((op (e1) (e2)) != (op (e1) (e3))) /\ (((op (e1) (e2)) != (op (e1) (e4))) /\ (((op (e1) (e3)) != (op (e1) (e4))) /\ (((op (e2) (e0)) != (op (e2) (e1))) /\ (((op (e2) (e0)) != (op (e2) (e2))) /\ (((op (e2) (e0)) != (op (e2) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e4))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e4))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e4))) /\ (((op (e2) (e3)) != (op (e2) (e4))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e4))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e4))) /\ (((op (e3) (e2)) != (op (e3) (e3))) /\ (((op (e3) (e2)) != (op (e3) (e4))) /\ (((op (e3) (e3)) != (op (e3) (e4))) /\ (((op (e4) (e0)) != (op (e4) (e1))) /\ (((op (e4) (e0)) != (op (e4) (e2))) /\ (((op (e4) (e0)) != (op (e4) (e3))) /\ (((op (e4) (e0)) != (op (e4) (e4))) /\ (((op (e4) (e1)) != (op (e4) (e2))) /\ (((op (e4) (e1)) != (op (e4) (e3))) /\ (((op (e4) (e1)) != (op (e4) (e4))) /\ (((op (e4) (e2)) != (op (e4) (e3))) /\ (((op (e4) (e2)) != (op (e4) (e4))) /\ ((op (e4) (e3)) != (op (e4) (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((((op (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)))))))))))))))))))))))))))))) ((e0) = (op (op (e3) (e1)) (e3))) ((e4) = (op (e3) (e1))) ((op (op (e2) (e4)) (e4)) = (e2)) ((op (op (e2) (e3)) (e3)) = (e2)) ((op (op (e2) (e2)) (e2)) = (e2)) ((op (op (e2) (e1)) (e1)) = (e2)) ((op (op (e2) (e0)) (e0)) = (e2)) ((op (e4) (op (e4) (e4))) = (e4)) ((op (op (e4) (e3)) (e3)) = (e4)) ((op (e4) (op (e4) (e2))) = (e2)) ((op (op (e4) (e2)) (e2)) = (e4)) ((op (e4) (op (e4) (e0))) = (e0)) ((op (e4) (op (e4) (e1))) = (e1)) ((op (op (e3) (e1)) (e1)) = (e3)) ((op (op (e0) (e4)) (e4)) = (e0)) ((op (op (e0) (e3)) (e3)) = (e0)) ((op (op (e0) (e2)) (e2)) = (e0)) ((op (op (e0) (e1)) (e1)) = (e0)) ((op (op (e0) (e0)) (e0)) = (e0)) ((((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 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((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 166
% 292.40/292.65 168. 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/\ (((op (e1) (e0)) != (op (e1) (e3))) /\ (((op (e1) (e0)) != (op (e1) (e4))) /\ (((op (e1) (e1)) != (op (e1) (e2))) /\ (((op (e1) (e1)) != (op (e1) (e3))) /\ (((op (e1) (e1)) != (op (e1) (e4))) /\ (((op (e1) (e2)) != (op (e1) (e3))) /\ (((op (e1) (e2)) != (op (e1) (e4))) /\ (((op (e1) (e3)) != (op (e1) (e4))) /\ (((op (e2) (e0)) != (op (e2) (e1))) /\ (((op (e2) (e0)) != (op (e2) (e2))) /\ (((op (e2) (e0)) != (op (e2) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e4))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e4))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e4))) /\ (((op (e2) (e3)) != (op (e2) (e4))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e4))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e4))) /\ (((op (e3) (e2)) != (op (e3) (e3))) /\ (((op (e3) (e2)) != (op (e3) (e4))) /\ (((op (e3) (e3)) != (op (e3) (e4))) /\ (((op (e4) (e0)) != (op (e4) (e1))) /\ (((op (e4) (e0)) != (op (e4) (e2))) /\ (((op (e4) (e0)) != (op (e4) (e3))) /\ (((op (e4) (e0)) != (op (e4) (e4))) /\ (((op (e4) (e1)) != (op (e4) (e2))) /\ (((op (e4) (e1)) != (op (e4) (e3))) /\ (((op (e4) (e1)) != (op (e4) (e4))) /\ (((op (e4) (e2)) != (op (e4) (e3))) /\ (((op (e4) (e2)) != (op (e4) (e4))) /\ ((op (e4) (e3)) != (op (e4) (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 167
% 292.40/292.65 169. 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(e2) (e2)) != (op (e2) (e4))) /\ (((op (e2) (e3)) != (op (e2) (e4))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e4))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e4))) /\ (((op (e3) (e2)) != (op (e3) (e3))) /\ (((op (e3) (e2)) != (op (e3) (e4))) /\ (((op (e3) (e3)) != (op (e3) (e4))) /\ (((op (e4) (e0)) != (op (e4) (e1))) /\ (((op (e4) (e0)) != (op (e4) (e2))) /\ (((op (e4) (e0)) != (op (e4) (e3))) /\ (((op (e4) (e0)) != (op (e4) (e4))) /\ (((op (e4) (e1)) != (op (e4) (e2))) /\ (((op (e4) (e1)) != (op (e4) (e3))) /\ (((op (e4) (e1)) != (op (e4) (e4))) /\ (((op (e4) (e2)) != (op (e4) (e3))) /\ (((op (e4) (e2)) != (op (e4) (e4))) /\ ((op (e4) (e3)) != (op (e4) (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((((op (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)) 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\/ (((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 (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)))))) 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(((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4)))))) /\ (((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((e0) = (op (op (e3) (e1)) (e3))) /\ (((e2) = (op (e3) (op (op (e3) (e1)) (e3)))) /\ ((e4) = (op (e3) (e1))))) ### ConjTree 168
% 292.40/292.65 170. (-. (-. 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(((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 (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 (e0) (e0)) != (op (e1) (e0))) /\ (((op (e0) (e0)) != (op (e2) (e0))) /\ (((op (e0) (e0)) != (op (e3) (e0))) /\ (((op (e0) (e0)) != (op (e4) (e0))) /\ (((op (e1) (e0)) != (op (e2) (e0))) /\ (((op (e1) (e0)) != (op (e3) (e0))) /\ (((op (e1) (e0)) != (op (e4) (e0))) /\ (((op (e2) (e0)) != (op (e3) (e0))) /\ (((op (e2) (e0)) != (op (e4) (e0))) /\ (((op (e3) (e0)) != (op (e4) (e0))) /\ (((op (e0) (e1)) != (op (e1) (e1))) /\ (((op (e0) (e1)) != (op (e2) (e1))) /\ (((op (e0) (e1)) != (op (e3) (e1))) /\ (((op (e0) (e1)) != (op (e4) (e1))) /\ (((op (e1) (e1)) != (op (e2) (e1))) /\ (((op (e1) (e1)) != (op (e3) (e1))) /\ (((op (e1) (e1)) != (op (e4) (e1))) /\ (((op (e2) (e1)) != (op (e3) (e1))) /\ (((op (e2) (e1)) != (op (e4) (e1))) /\ (((op (e3) (e1)) != (op (e4) (e1))) /\ (((op (e0) (e2)) != (op (e1) (e2))) /\ (((op (e0) (e2)) != (op (e2) (e2))) /\ (((op (e0) (e2)) != (op (e3) (e2))) /\ (((op (e0) (e2)) != (op (e4) (e2))) /\ (((op (e1) (e2)) != (op (e2) (e2))) /\ (((op (e1) (e2)) != (op (e3) (e2))) /\ (((op (e1) (e2)) != (op (e4) (e2))) /\ (((op (e2) (e2)) != (op (e3) (e2))) /\ (((op (e2) (e2)) != (op (e4) (e2))) /\ (((op (e3) (e2)) != (op (e4) (e2))) /\ (((op (e0) (e3)) != (op (e1) (e3))) /\ (((op (e0) (e3)) != (op (e2) (e3))) /\ (((op (e0) (e3)) != (op (e3) (e3))) /\ (((op (e0) (e3)) != (op (e4) (e3))) /\ (((op (e1) (e3)) != (op (e2) (e3))) /\ (((op (e1) (e3)) != (op (e3) (e3))) /\ (((op (e1) (e3)) != (op (e4) (e3))) /\ (((op (e2) (e3)) != (op (e3) (e3))) /\ (((op (e2) (e3)) != (op (e4) (e3))) /\ (((op (e3) (e3)) != (op (e4) (e3))) /\ (((op (e0) (e4)) != (op (e1) (e4))) /\ (((op (e0) (e4)) != (op (e2) (e4))) /\ (((op (e0) (e4)) != (op (e3) (e4))) /\ (((op (e0) (e4)) != (op (e4) (e4))) /\ (((op (e1) (e4)) != (op (e2) (e4))) /\ (((op (e1) (e4)) != (op (e3) (e4))) /\ (((op (e1) (e4)) != (op (e4) (e4))) /\ (((op (e2) (e4)) != (op (e3) (e4))) /\ (((op (e2) (e4)) != (op (e4) (e4))) /\ (((op (e3) (e4)) != (op (e4) (e4))) /\ (((op (e0) (e0)) != (op (e0) (e1))) /\ (((op (e0) (e0)) != (op (e0) (e2))) /\ (((op (e0) (e0)) != (op (e0) (e3))) /\ (((op (e0) (e0)) != (op (e0) (e4))) /\ (((op (e0) (e1)) != (op (e0) (e2))) /\ (((op (e0) (e1)) != (op (e0) (e3))) /\ (((op (e0) (e1)) != (op (e0) (e4))) /\ (((op (e0) (e2)) != (op (e0) (e3))) /\ (((op (e0) (e2)) != (op (e0) (e4))) /\ (((op (e0) (e3)) != (op (e0) (e4))) /\ (((op (e1) (e0)) != (op (e1) (e1))) /\ (((op (e1) (e0)) != (op (e1) (e2))) /\ (((op (e1) (e0)) != (op (e1) (e3))) /\ (((op (e1) (e0)) != (op (e1) (e4))) /\ (((op (e1) (e1)) != (op (e1) (e2))) /\ (((op (e1) (e1)) != (op (e1) (e3))) /\ (((op (e1) (e1)) != (op (e1) (e4))) /\ (((op (e1) (e2)) != (op (e1) (e3))) /\ (((op (e1) (e2)) != (op (e1) (e4))) /\ (((op (e1) (e3)) != (op (e1) (e4))) /\ (((op (e2) (e0)) != (op (e2) (e1))) /\ (((op (e2) (e0)) != (op (e2) (e2))) /\ (((op (e2) (e0)) != (op (e2) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e4))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e4))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e4))) /\ (((op (e2) (e3)) != (op (e2) (e4))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e4))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e4))) /\ (((op (e3) (e2)) != (op (e3) (e3))) /\ (((op (e3) (e2)) != (op (e3) (e4))) /\ (((op (e3) (e3)) != (op (e3) (e4))) /\ (((op (e4) (e0)) != (op (e4) (e1))) /\ (((op (e4) (e0)) != (op (e4) (e2))) /\ (((op (e4) (e0)) != (op (e4) (e3))) /\ (((op (e4) (e0)) != (op (e4) (e4))) /\ (((op (e4) (e1)) != (op (e4) (e2))) /\ (((op (e4) (e1)) != (op (e4) (e3))) /\ (((op (e4) (e1)) != (op (e4) (e4))) /\ (((op (e4) (e2)) != (op (e4) (e3))) /\ (((op (e4) (e2)) != (op (e4) (e4))) /\ ((op (e4) (e3)) != (op (e4) (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### NotNot 169
% 292.43/292.66 % SZS output end Proof
% 292.43/292.66 (* END-PROOF *)
%------------------------------------------------------------------------------