TSTP Solution File: ALG043+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : ALG043+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 : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 18:04:51 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG043+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 07:15:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 (* PROOF-FOUND *)
% 0.18/0.48 (* BEGIN-PROOF *)
% 0.18/0.48 % SZS output start Proof
% 0.18/0.48 1. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.18/0.48 2. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom
% 0.18/0.48 3. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom
% 0.18/0.48 4. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom
% 0.18/0.48 5. (-. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0)))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 1 2 3 4
% 0.18/0.48 6. (-. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))))))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e0)) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) = (e0)) ### ConjTree 5
% 0.18/0.48 7. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.18/0.48 8. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3)))))) ((op (e0) (e0)) = (e0)) ### ConjTree 7
% 0.18/0.48 9. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom
% 0.18/0.48 10. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3)))))) ((op (e0) (e1)) = (e1)) ### ConjTree 9
% 0.18/0.48 11. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom
% 0.18/0.48 12. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3)))))) ((op (e0) (e2)) = (e2)) ### ConjTree 11
% 0.18/0.48 13. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom
% 0.18/0.48 14. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3)))))) ((op (e0) (e3)) = (e3)) ### ConjTree 13
% 0.18/0.48 15. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom
% 0.18/0.48 16. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3)))))) ((op (e1) (e0)) = (e1)) ### ConjTree 15
% 0.18/0.48 17. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom
% 0.18/0.48 18. (-. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3)))))) ((op (e1) (e1)) = (e0)) ### ConjTree 17
% 0.18/0.48 19. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.18/0.48 20. (-. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3)))))) ((op (e1) (e2)) = (e3)) ### ConjTree 19
% 0.18/0.48 21. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 0.18/0.48 22. (-. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3)))))) ((op (e1) (e3)) = (e2)) ### ConjTree 21
% 0.18/0.48 23. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom
% 0.18/0.48 24. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3)))))) ((op (e2) (e0)) = (e2)) ### ConjTree 23
% 0.18/0.48 25. ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (e3)) ### Axiom
% 0.18/0.48 26. (-. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3)))))) ((op (e2) (e1)) = (e3)) ### ConjTree 25
% 0.18/0.48 27. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom
% 0.18/0.48 28. (-. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3)))))) ((op (e2) (e2)) = (e0)) ### ConjTree 27
% 0.18/0.48 29. ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (e1)) ### Axiom
% 0.18/0.48 30. (-. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3)))))) ((op (e2) (e3)) = (e1)) ### ConjTree 29
% 0.18/0.48 31. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom
% 0.18/0.48 32. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3)))))) ((op (e3) (e0)) = (e3)) ### ConjTree 31
% 0.18/0.48 33. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2)) ### Axiom
% 0.18/0.48 34. (-. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3)))))) ((op (e3) (e1)) = (e2)) ### ConjTree 33
% 0.18/0.48 35. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 0.18/0.48 36. (-. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3)))))) ((op (e3) (e2)) = (e1)) ### ConjTree 35
% 0.18/0.48 37. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom
% 0.18/0.48 38. (-. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3)))))) ((op (e3) (e3)) = (e0)) ### ConjTree 37
% 0.18/0.48 39. ((unit) = (e0)) ((unit) != (e0)) ### Axiom
% 0.18/0.48 40. ((e0) != (e0)) ### NotEqual
% 0.18/0.48 41. ((op (unit) (e0)) != (op (e0) (e0))) ((unit) = (e0)) ### NotEqual 39 40
% 0.18/0.48 42. ((op (unit) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### Trans 41 40
% 0.18/0.48 43. ((unit) = (e0)) ((unit) != (e0)) ### Axiom
% 0.18/0.48 44. ((op (e0) (unit)) != (op (e0) (e0))) ((unit) = (e0)) ### NotEqual 40 43
% 0.18/0.48 45. ((op (e0) (unit)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### Trans 44 40
% 0.18/0.48 46. ((unit) = (e0)) ((unit) != (e0)) ### Axiom
% 0.18/0.48 47. ((e1) != (e1)) ### NotEqual
% 0.18/0.48 48. ((op (unit) (e1)) != (op (e0) (e1))) ((unit) = (e0)) ### NotEqual 46 47
% 0.18/0.48 49. ((op (unit) (e1)) != (e1)) ((op (e0) (e1)) = (e1)) ((unit) = (e0)) ### Trans 48 47
% 0.18/0.48 50. ((unit) = (e0)) ((unit) != (e0)) ### Axiom
% 0.18/0.48 51. ((op (e1) (unit)) != (op (e1) (e0))) ((unit) = (e0)) ### NotEqual 47 50
% 0.18/0.48 52. ((op (e1) (unit)) != (e1)) ((op (e1) (e0)) = (e1)) ((unit) = (e0)) ### Trans 51 47
% 0.18/0.48 53. ((unit) = (e0)) ((unit) != (e0)) ### Axiom
% 0.18/0.48 54. ((e2) != (e2)) ### NotEqual
% 0.18/0.48 55. ((op (unit) (e2)) != (op (e0) (e2))) ((unit) = (e0)) ### NotEqual 53 54
% 0.18/0.48 56. ((op (unit) (e2)) != (e2)) ((op (e0) (e2)) = (e2)) ((unit) = (e0)) ### Trans 55 54
% 0.18/0.48 57. ((unit) = (e0)) ((unit) != (e0)) ### Axiom
% 0.18/0.48 58. ((op (e2) (unit)) != (op (e2) (e0))) ((unit) = (e0)) ### NotEqual 54 57
% 0.18/0.48 59. ((op (e2) (unit)) != (e2)) ((op (e2) (e0)) = (e2)) ((unit) = (e0)) ### Trans 58 54
% 0.18/0.48 60. ((unit) = (e0)) ((unit) != (e0)) ### Axiom
% 0.18/0.48 61. ((e3) != (e3)) ### NotEqual
% 0.18/0.48 62. ((op (unit) (e3)) != (op (e0) (e3))) ((unit) = (e0)) ### NotEqual 60 61
% 0.18/0.48 63. ((op (unit) (e3)) != (e3)) ((op (e0) (e3)) = (e3)) ((unit) = (e0)) ### Trans 62 61
% 0.18/0.48 64. ((unit) = (e0)) ((unit) != (e0)) ### Axiom
% 0.18/0.48 65. ((op (e3) (unit)) != (op (e3) (e0))) ((unit) = (e0)) ### NotEqual 61 64
% 0.18/0.48 66. ((op (e3) (unit)) != (e3)) ((op (e3) (e0)) = (e3)) ((unit) = (e0)) ### Trans 65 61
% 0.18/0.48 67. ((unit) = (e0)) ((unit) != (e0)) ### Axiom
% 0.18/0.48 68. (-. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ ((unit) = (e3)))))) ((unit) = (e0)) ### ConjTree 67
% 0.18/0.48 69. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.18/0.48 70. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0)))))) ((op (e0) (e0)) = (e0)) ### ConjTree 69
% 0.18/0.48 71. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.18/0.48 72. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0)))))) ((op (e0) (e0)) = (e0)) ### ConjTree 71
% 0.18/0.48 73. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom
% 0.18/0.48 74. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1)))))) ((op (e0) (e1)) = (e1)) ### ConjTree 73
% 0.18/0.48 75. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom
% 0.18/0.48 76. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1)))))) ((op (e1) (e0)) = (e1)) ### ConjTree 75
% 0.18/0.48 77. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom
% 0.18/0.48 78. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2)))))) ((op (e0) (e2)) = (e2)) ### ConjTree 77
% 0.18/0.48 79. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom
% 0.18/0.48 80. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2)))))) ((op (e2) (e0)) = (e2)) ### ConjTree 79
% 0.18/0.48 81. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom
% 0.18/0.48 82. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3)))))) ((op (e0) (e3)) = (e3)) ### ConjTree 81
% 0.18/0.48 83. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom
% 0.18/0.48 84. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3)))))) ((op (e3) (e0)) = (e3)) ### ConjTree 83
% 0.18/0.48 85. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom
% 0.18/0.48 86. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0)))))) ((op (e1) (e1)) = (e0)) ### ConjTree 85
% 0.18/0.48 87. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom
% 0.18/0.48 88. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0)))))) ((op (e1) (e1)) = (e0)) ### ConjTree 87
% 0.18/0.48 89. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom
% 0.18/0.48 90. (-. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1)))))) ((op (e1) (e0)) = (e1)) ### ConjTree 89
% 0.18/0.48 91. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom
% 0.18/0.48 92. (-. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1)))))) ((op (e0) (e1)) = (e1)) ### ConjTree 91
% 0.18/0.48 93. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 0.18/0.48 94. (-. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2)))))) ((op (e1) (e3)) = (e2)) ### ConjTree 93
% 0.18/0.48 95. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2)) ### Axiom
% 0.18/0.48 96. (-. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2)))))) ((op (e3) (e1)) = (e2)) ### ConjTree 95
% 0.18/0.48 97. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.18/0.48 98. (-. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3)))))) ((op (e1) (e2)) = (e3)) ### ConjTree 97
% 0.18/0.48 99. ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (e3)) ### Axiom
% 0.18/0.48 100. (-. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3)))))) ((op (e2) (e1)) = (e3)) ### ConjTree 99
% 0.18/0.48 101. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom
% 0.18/0.48 102. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0)))))) ((op (e2) (e2)) = (e0)) ### ConjTree 101
% 0.18/0.48 103. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom
% 0.18/0.48 104. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0)))))) ((op (e2) (e2)) = (e0)) ### ConjTree 103
% 0.18/0.48 105. ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (e1)) ### Axiom
% 0.18/0.48 106. (-. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1)))))) ((op (e2) (e3)) = (e1)) ### ConjTree 105
% 0.18/0.48 107. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 0.18/0.48 108. (-. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1)))))) ((op (e3) (e2)) = (e1)) ### ConjTree 107
% 0.18/0.48 109. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom
% 0.18/0.48 110. (-. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2)))))) ((op (e2) (e0)) = (e2)) ### ConjTree 109
% 0.18/0.48 111. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom
% 0.18/0.48 112. (-. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2)))))) ((op (e0) (e2)) = (e2)) ### ConjTree 111
% 0.18/0.48 113. ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (e3)) ### Axiom
% 0.18/0.48 114. (-. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3)))))) ((op (e2) (e1)) = (e3)) ### ConjTree 113
% 0.18/0.48 115. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.18/0.48 116. (-. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3)))))) ((op (e1) (e2)) = (e3)) ### ConjTree 115
% 0.18/0.48 117. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom
% 0.18/0.48 118. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0)))))) ((op (e3) (e3)) = (e0)) ### ConjTree 117
% 0.18/0.48 119. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom
% 0.18/0.48 120. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0)))))) ((op (e3) (e3)) = (e0)) ### ConjTree 119
% 0.18/0.48 121. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 0.18/0.48 122. (-. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1)))))) ((op (e3) (e2)) = (e1)) ### ConjTree 121
% 0.18/0.48 123. ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (e1)) ### Axiom
% 0.18/0.48 124. (-. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1)))))) ((op (e2) (e3)) = (e1)) ### ConjTree 123
% 0.18/0.48 125. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2)) ### Axiom
% 0.18/0.48 126. (-. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2)))))) ((op (e3) (e1)) = (e2)) ### ConjTree 125
% 0.18/0.48 127. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 0.18/0.48 128. (-. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2)))))) ((op (e1) (e3)) = (e2)) ### ConjTree 127
% 0.18/0.48 129. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom
% 0.18/0.48 130. (-. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3)))))) ((op (e3) (e0)) = (e3)) ### ConjTree 129
% 0.18/0.48 131. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom
% 0.18/0.48 132. (-. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3)))))) ((op (e0) (e3)) = (e3)) ### ConjTree 131
% 0.18/0.48 133. (-. (((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) /\ ((((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) /\ ((((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) /\ ((((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) /\ ((((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) /\ ((((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) /\ ((((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) /\ ((((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) /\ ((((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) /\ ((((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) /\ (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) (e3)) = (e3)) /\ (((op (e3) (unit)) = (e3)) /\ ((((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ ((unit) = (e3))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) /\ ((((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) /\ ((((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) /\ ((((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) /\ (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((unit) = (e0)) ((op (e3) (e2)) = (e1)) ((op (e3) (e1)) = (e2)) ((op (e3) (e0)) = (e3)) ((op (e2) (e3)) = (e1)) ((op (e2) (e1)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) = (e1)) ((op (e3) (e3)) = (e0)) ((op (e2) (e2)) = (e0)) ((op (e1) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 42 45 49 52 56 59 63 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132
% 0.18/0.48 134. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e1) (e2)) = (e3)) /\ (((op (e1) (e3)) = (e2)) /\ (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e0)) /\ (((op (e2) (e3)) = (e1)) /\ (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e1)) = (e2)) /\ (((op (e3) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e0))))))))))))))))) ((unit) = (e0)) (-. (((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) /\ ((((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) /\ ((((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) /\ ((((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) /\ ((((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) /\ ((((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) /\ ((((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) /\ ((((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) /\ ((((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) /\ ((((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) /\ (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) (e3)) = (e3)) /\ (((op (e3) (unit)) = (e3)) /\ ((((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ ((unit) = (e3))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) /\ ((((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) /\ ((((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) /\ ((((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) /\ (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 133
% 0.18/0.48 % SZS output end Proof
% 0.18/0.48 (* END-PROOF *)
%------------------------------------------------------------------------------