%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG033+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 : n032.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 18:04:50 EDT 2022 % Result : Theorem 46.88s 47.08s % Output : Proof 46.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.10 % Problem : ALG033+1 : TPTP v8.1.0. Released v2.7.0. % 0.10/0.11 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.10/0.31 % Computer : n032.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 600 % 0.10/0.31 % DateTime : Thu Jun 9 07:18:37 EDT 2022 % 0.10/0.31 % CPUTime : % 46.88/47.08 % SZS status Theorem % 46.88/47.08 (* PROOF-FOUND *) % 46.88/47.08 (* BEGIN-PROOF *) % 46.88/47.08 % SZS output start Proof % 46.88/47.08 1. ((op (e4) (e5)) = (op (e5) (e4))) ((op (e5) (e4)) != (op (e4) (e5))) ### Sym(=) % 46.88/47.08 2. ((e1) != (e1)) ### NotEqual % 46.88/47.08 3. ((e1) != (op (e5) (e4))) ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) = (op (e5) (e4))) ### Trans-sym 1 2 % 46.88/47.08 4. ((e2) != (e2)) ### NotEqual % 46.88/47.08 5. ((e1) != (e2)) ((op (e5) (e4)) = (e2)) ((op (e4) (e5)) = (op (e5) (e4))) ((op (e4) (e5)) = (e1)) ### TransEq 3 4 4 % 46.88/47.08 6. (((op (e0) (e0)) = (op (e0) (e0))) /\ (((op (e0) (e1)) = (op (e1) (e0))) /\ (((op (e0) (e2)) = (op (e2) (e0))) /\ (((op (e0) (e3)) = (op (e3) (e0))) /\ (((op (e0) (e4)) = (op (e4) (e0))) /\ (((op (e0) (e5)) = (op (e5) (e0))) /\ (((op (e1) (e0)) = (op (e0) (e1))) /\ (((op (e1) (e1)) = (op (e1) (e1))) /\ (((op (e1) (e2)) = (op (e2) (e1))) /\ (((op (e1) (e3)) = (op (e3) (e1))) /\ (((op (e1) (e4)) = (op (e4) (e1))) /\ (((op (e1) (e5)) = (op (e5) (e1))) /\ (((op (e2) (e0)) = (op (e0) (e2))) /\ (((op (e2) (e1)) = (op (e1) (e2))) /\ (((op (e2) (e2)) = (op (e2) (e2))) /\ (((op (e2) (e3)) = (op (e3) (e2))) /\ (((op (e2) (e4)) = (op (e4) (e2))) /\ (((op (e2) (e5)) = (op (e5) (e2))) /\ (((op (e3) (e0)) = (op (e0) (e3))) /\ (((op (e3) (e1)) = (op (e1) (e3))) /\ (((op (e3) (e2)) = (op (e2) (e3))) /\ (((op (e3) (e3)) = (op (e3) (e3))) /\ (((op (e3) (e4)) = (op (e4) (e3))) /\ (((op (e3) (e5)) = (op (e5) (e3))) /\ (((op (e4) (e0)) = (op (e0) (e4))) /\ (((op (e4) (e1)) = (op (e1) (e4))) /\ (((op (e4) (e2)) = (op (e2) (e4))) /\ (((op (e4) (e3)) = (op (e3) (e4))) /\ (((op (e4) (e4)) = (op (e4) (e4))) /\ (((op (e4) (e5)) = (op (e5) (e4))) /\ (((op (e5) (e0)) = (op (e0) (e5))) /\ (((op (e5) (e1)) = (op (e1) (e5))) /\ (((op (e5) (e2)) = (op (e2) (e5))) /\ (((op (e5) (e3)) = (op (e3) (e5))) /\ (((op (e5) (e4)) = (op (e4) (e5))) /\ ((op (e5) (e5)) = (op (e5) (e5)))))))))))))))))))))))))))))))))))))) ((op (e4) (e5)) = (e1)) ((op (e5) (e4)) = (e2)) ((e1) != (e2)) ### ConjTree 5 % 46.88/47.08 7. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 46.88/47.08 8. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e0)) = (e4)) \/ ((op (e0) (e0)) = (e5)))))))) ((op (e0) (e0)) = (e0)) ### ConjTree 7 % 46.88/47.08 9. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 46.88/47.08 10. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e1)) = (e4)) \/ ((op (e0) (e1)) = (e5)))))))) ((op (e0) (e1)) = (e1)) ### ConjTree 9 % 46.88/47.08 11. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 46.88/47.08 12. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e2)) = (e4)) \/ ((op (e0) (e2)) = (e5)))))))) ((op (e0) (e2)) = (e2)) ### ConjTree 11 % 46.88/47.08 13. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 46.88/47.08 14. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e3)) = (e5)))))))) ((op (e0) (e3)) = (e3)) ### ConjTree 13 % 46.88/47.08 15. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 46.88/47.08 16. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ (((op (e0) (e4)) = (e4)) \/ ((op (e0) (e4)) = (e5)))))))) ((op (e0) (e4)) = (e4)) ### ConjTree 15 % 46.88/47.08 17. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 46.88/47.08 18. (-. (((op (e0) (e5)) = (e0)) \/ (((op (e0) (e5)) = (e1)) \/ (((op (e0) (e5)) = (e2)) \/ (((op (e0) (e5)) = (e3)) \/ (((op (e0) (e5)) = (e4)) \/ ((op (e0) (e5)) = (e5)))))))) ((op (e0) (e5)) = (e5)) ### ConjTree 17 % 46.88/47.08 19. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.08 20. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e4)) \/ ((op (e1) (e0)) = (e5)))))))) ((op (e1) (e0)) = (e1)) ### ConjTree 19 % 46.88/47.08 21. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.08 22. (-. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e4)) \/ ((op (e1) (e1)) = (e5)))))))) ((op (e1) (e1)) = (e0)) ### ConjTree 21 % 46.88/47.08 23. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.08 24. (-. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e4)) \/ ((op (e1) (e2)) = (e5)))))))) ((op (e1) (e2)) = (e3)) ### ConjTree 23 % 46.88/47.08 25. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.08 26. (-. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e3)) = (e5)))))))) ((op (e1) (e3)) = (e2)) ### ConjTree 25 % 46.88/47.08 27. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.08 28. (-. (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e4)) \/ ((op (e1) (e4)) = (e5)))))))) ((op (e1) (e4)) = (e5)) ### ConjTree 27 % 46.88/47.08 29. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.08 30. (-. (((op (e1) (e5)) = (e0)) \/ (((op (e1) (e5)) = (e1)) \/ (((op (e1) (e5)) = (e2)) \/ (((op (e1) (e5)) = (e3)) \/ (((op (e1) (e5)) = (e4)) \/ ((op (e1) (e5)) = (e5)))))))) ((op (e1) (e5)) = (e4)) ### ConjTree 29 % 46.88/47.08 31. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.08 32. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e4)) \/ ((op (e2) (e0)) = (e5)))))))) ((op (e2) (e0)) = (e2)) ### ConjTree 31 % 46.88/47.08 33. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.08 34. (-. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e4)) \/ ((op (e2) (e1)) = (e5)))))))) ((op (e2) (e1)) = (e4)) ### ConjTree 33 % 46.88/47.08 35. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.08 36. (-. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e4)) \/ ((op (e2) (e2)) = (e5)))))))) ((op (e2) (e2)) = (e0)) ### ConjTree 35 % 46.88/47.08 37. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.08 38. (-. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e3)) = (e5)))))))) ((op (e2) (e3)) = (e5)) ### ConjTree 37 % 46.88/47.08 39. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.08 40. (-. (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e4)) \/ ((op (e2) (e4)) = (e5)))))))) ((op (e2) (e4)) = (e1)) ### ConjTree 39 % 46.88/47.08 41. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.08 42. (-. (((op (e2) (e5)) = (e0)) \/ (((op (e2) (e5)) = (e1)) \/ (((op (e2) (e5)) = (e2)) \/ (((op (e2) (e5)) = (e3)) \/ (((op (e2) (e5)) = (e4)) \/ ((op (e2) (e5)) = (e5)))))))) ((op (e2) (e5)) = (e3)) ### ConjTree 41 % 46.88/47.08 43. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.08 44. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e3) (e0)) = (e5)))))))) ((op (e3) (e0)) = (e3)) ### ConjTree 43 % 46.88/47.08 45. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.08 46. (-. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e3) (e1)) = (e5)))))))) ((op (e3) (e1)) = (e5)) ### ConjTree 45 % 46.88/47.08 47. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.08 48. (-. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e3) (e2)) = (e5)))))))) ((op (e3) (e2)) = (e1)) ### ConjTree 47 % 46.88/47.08 49. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.08 50. (-. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e3)) = (e5)))))))) ((op (e3) (e3)) = (e4)) ### ConjTree 49 % 46.88/47.08 51. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.08 52. (-. (((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e3) (e4)) = (e5)))))))) ((op (e3) (e4)) = (e0)) ### ConjTree 51 % 46.88/47.08 53. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.08 54. (-. (((op (e3) (e5)) = (e0)) \/ (((op (e3) (e5)) = (e1)) \/ (((op (e3) (e5)) = (e2)) \/ (((op (e3) (e5)) = (e3)) \/ (((op (e3) (e5)) = (e4)) \/ ((op (e3) (e5)) = (e5)))))))) ((op (e3) (e5)) = (e2)) ### ConjTree 53 % 46.88/47.08 55. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.08 56. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e5)))))))) ((op (e4) (e0)) = (e4)) ### ConjTree 55 % 46.88/47.08 57. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.08 58. (-. (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e5)))))))) ((op (e4) (e1)) = (e2)) ### ConjTree 57 % 46.88/47.08 59. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.08 60. (-. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e5)))))))) ((op (e4) (e2)) = (e5)) ### ConjTree 59 % 46.88/47.08 61. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.08 62. (-. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e5)))))))) ((op (e4) (e3)) = (e0)) ### ConjTree 61 % 46.88/47.08 63. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.08 64. (-. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ (((op (e4) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e5)))))))) ((op (e4) (e4)) = (e3)) ### ConjTree 63 % 46.88/47.08 65. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.08 66. (-. (((op (e4) (e5)) = (e0)) \/ (((op (e4) (e5)) = (e1)) \/ (((op (e4) (e5)) = (e2)) \/ (((op (e4) (e5)) = (e3)) \/ (((op (e4) (e5)) = (e4)) \/ ((op (e4) (e5)) = (e5)))))))) ((op (e4) (e5)) = (e1)) ### ConjTree 65 % 46.88/47.08 67. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.08 68. (-. (((op (e5) (e0)) = (e0)) \/ (((op (e5) (e0)) = (e1)) \/ (((op (e5) (e0)) = (e2)) \/ (((op (e5) (e0)) = (e3)) \/ (((op (e5) (e0)) = (e4)) \/ ((op (e5) (e0)) = (e5)))))))) ((op (e5) (e0)) = (e5)) ### ConjTree 67 % 46.88/47.08 69. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.08 70. (-. (((op (e5) (e1)) = (e0)) \/ (((op (e5) (e1)) = (e1)) \/ (((op (e5) (e1)) = (e2)) \/ (((op (e5) (e1)) = (e3)) \/ (((op (e5) (e1)) = (e4)) \/ ((op (e5) (e1)) = (e5)))))))) ((op (e5) (e1)) = (e3)) ### ConjTree 69 % 46.88/47.08 71. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.08 72. (-. (((op (e5) (e2)) = (e0)) \/ (((op (e5) (e2)) = (e1)) \/ (((op (e5) (e2)) = (e2)) \/ (((op (e5) (e2)) = (e3)) \/ (((op (e5) (e2)) = (e4)) \/ ((op (e5) (e2)) = (e5)))))))) ((op (e5) (e2)) = (e4)) ### ConjTree 71 % 46.88/47.08 73. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.08 74. (-. (((op (e5) (e3)) = (e0)) \/ (((op (e5) (e3)) = (e1)) \/ (((op (e5) (e3)) = (e2)) \/ (((op (e5) (e3)) = (e3)) \/ (((op (e5) (e3)) = (e4)) \/ ((op (e5) (e3)) = (e5)))))))) ((op (e5) (e3)) = (e1)) ### ConjTree 73 % 46.88/47.08 75. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.08 76. (-. (((op (e5) (e4)) = (e0)) \/ (((op (e5) (e4)) = (e1)) \/ (((op (e5) (e4)) = (e2)) \/ (((op (e5) (e4)) = (e3)) \/ (((op (e5) (e4)) = (e4)) \/ ((op (e5) (e4)) = (e5)))))))) ((op (e5) (e4)) = (e2)) ### ConjTree 75 % 46.88/47.08 77. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.08 78. (-. (((op (e5) (e5)) = (e0)) \/ (((op (e5) (e5)) = (e1)) \/ (((op (e5) (e5)) = (e2)) \/ (((op (e5) (e5)) = (e3)) \/ (((op (e5) (e5)) = (e4)) \/ ((op (e5) (e5)) = (e5)))))))) ((op (e5) (e5)) = (e0)) ### ConjTree 77 % 46.88/47.08 79. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 46.88/47.08 80. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 46.88/47.08 81. ((op (op (e0) (e0)) (e0)) != (op (e0) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ### NotEqual 79 80 % 46.88/47.08 82. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 46.88/47.08 83. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 46.88/47.08 84. ((op (op (e0) (e0)) (e1)) != (op (e0) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ### NotEqual 82 83 % 46.88/47.08 85. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 46.88/47.08 86. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 46.88/47.08 87. ((op (op (e0) (e0)) (e2)) != (op (e0) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) = (e0)) ### NotEqual 85 86 % 46.88/47.08 88. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 46.88/47.08 89. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 46.88/47.08 90. ((op (op (e0) (e0)) (e3)) != (op (e0) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e0) (e0)) = (e0)) ### NotEqual 88 89 % 46.88/47.08 91. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 46.88/47.08 92. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 46.88/47.08 93. ((op (op (e0) (e0)) (e4)) != (op (e0) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e0) (e0)) = (e0)) ### NotEqual 91 92 % 46.88/47.08 94. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 46.88/47.08 95. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 46.88/47.08 96. ((op (op (e0) (e0)) (e5)) != (op (e0) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e0) (e0)) = (e0)) ### NotEqual 94 95 % 46.88/47.08 97. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 46.88/47.08 98. ((e0) != (e0)) ### NotEqual % 46.88/47.08 99. ((op (op (e0) (e1)) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) = (e1)) ### NotEqual 97 98 % 46.88/47.08 100. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.08 101. ((op (e0) (op (e1) (e0))) != (op (e0) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 98 100 % 46.88/47.08 102. ((e1) != (op (e0) (op (e1) (e0)))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ### Trans-sym 101 2 % 46.88/47.08 103. ((op (op (e0) (e1)) (e0)) != (op (e0) (op (e1) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) = (e1)) ### Trans 99 102 % 46.88/47.08 104. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 46.88/47.08 105. ((op (op (e0) (e1)) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ### NotEqual 104 2 % 46.88/47.08 106. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.08 107. ((op (e0) (op (e1) (e1))) != (op (e0) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 98 106 % 46.88/47.08 108. ((e0) != (op (e0) (op (e1) (e1)))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e0)) ### Trans-sym 107 98 % 46.88/47.08 109. ((op (op (e0) (e1)) (e1)) != (op (e0) (op (e1) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e1)) ### Trans 105 108 % 46.88/47.08 110. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 46.88/47.08 111. ((op (op (e0) (e1)) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ### NotEqual 110 4 % 46.88/47.08 112. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.08 113. ((op (e0) (op (e1) (e2))) != (op (e0) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 98 112 % 46.88/47.08 114. ((e3) != (e3)) ### NotEqual % 46.88/47.08 115. ((e3) != (op (e0) (op (e1) (e2)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e2)) = (e3)) ### Trans-sym 113 114 % 46.88/47.08 116. ((op (op (e0) (e1)) (e2)) != (op (e0) (op (e1) (e2)))) ((op (e1) (e2)) = (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e1)) = (e1)) ### Trans 111 115 % 46.88/47.08 117. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 46.88/47.08 118. ((op (op (e0) (e1)) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ### NotEqual 117 114 % 46.88/47.08 119. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.08 120. ((op (e0) (op (e1) (e3))) != (op (e0) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 98 119 % 46.88/47.08 121. ((e2) != (op (e0) (op (e1) (e3)))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) = (e2)) ### Trans-sym 120 4 % 46.88/47.08 122. ((op (op (e0) (e1)) (e3)) != (op (e0) (op (e1) (e3)))) ((op (e1) (e3)) = (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) = (e1)) ### Trans 118 121 % 46.88/47.08 123. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 46.88/47.08 124. ((e4) != (e4)) ### NotEqual % 46.88/47.08 125. ((op (op (e0) (e1)) (e4)) != (op (e1) (e4))) ((op (e0) (e1)) = (e1)) ### NotEqual 123 124 % 46.88/47.08 126. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.08 127. ((op (e0) (op (e1) (e4))) != (op (e0) (e5))) ((op (e1) (e4)) = (e5)) ### NotEqual 98 126 % 46.88/47.08 128. ((e5) != (e5)) ### NotEqual % 46.88/47.08 129. ((e5) != (op (e0) (op (e1) (e4)))) ((op (e0) (e5)) = (e5)) ((op (e1) (e4)) = (e5)) ### Trans-sym 127 128 % 46.88/47.08 130. ((op (op (e0) (e1)) (e4)) != (op (e0) (op (e1) (e4)))) ((op (e1) (e4)) = (e5)) ((op (e0) (e5)) = (e5)) ((op (e0) (e1)) = (e1)) ### Trans 125 129 % 46.88/47.08 131. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 46.88/47.08 132. ((op (op (e0) (e1)) (e5)) != (op (e1) (e5))) ((op (e0) (e1)) = (e1)) ### NotEqual 131 128 % 46.88/47.08 133. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.08 134. ((op (e0) (op (e1) (e5))) != (op (e0) (e4))) ((op (e1) (e5)) = (e4)) ### NotEqual 98 133 % 46.88/47.08 135. ((e4) != (op (e0) (op (e1) (e5)))) ((op (e0) (e4)) = (e4)) ((op (e1) (e5)) = (e4)) ### Trans-sym 134 124 % 46.88/47.08 136. ((op (op (e0) (e1)) (e5)) != (op (e0) (op (e1) (e5)))) ((op (e1) (e5)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e0) (e1)) = (e1)) ### Trans 132 135 % 46.88/47.08 137. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 46.88/47.08 138. ((op (op (e0) (e2)) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) = (e2)) ### NotEqual 137 98 % 46.88/47.08 139. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.08 140. ((op (e0) (op (e2) (e0))) != (op (e0) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 98 139 % 46.88/47.08 141. ((e2) != (op (e0) (op (e2) (e0)))) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) = (e2)) ### Trans-sym 140 4 % 46.88/47.08 142. ((op (op (e0) (e2)) (e0)) != (op (e0) (op (e2) (e0)))) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) = (e2)) ### Trans 138 141 % 46.88/47.08 143. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 46.88/47.08 144. ((op (op (e0) (e2)) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) = (e2)) ### NotEqual 143 2 % 46.88/47.08 145. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.08 146. ((op (e0) (op (e2) (e1))) != (op (e0) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 98 145 % 46.88/47.08 147. ((e4) != (op (e0) (op (e2) (e1)))) ((op (e0) (e4)) = (e4)) ((op (e2) (e1)) = (e4)) ### Trans-sym 146 124 % 46.88/47.08 148. ((op (op (e0) (e2)) (e1)) != (op (e0) (op (e2) (e1)))) ((op (e2) (e1)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e0) (e2)) = (e2)) ### Trans 144 147 % 46.88/47.08 149. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 46.88/47.08 150. ((op (op (e0) (e2)) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ### NotEqual 149 4 % 46.88/47.08 151. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.08 152. ((op (e0) (op (e2) (e2))) != (op (e0) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 98 151 % 46.88/47.08 153. ((e0) != (op (e0) (op (e2) (e2)))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) = (e0)) ### Trans-sym 152 98 % 46.88/47.08 154. ((op (op (e0) (e2)) (e2)) != (op (e0) (op (e2) (e2)))) ((op (e2) (e2)) = (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) = (e2)) ### Trans 150 153 % 46.88/47.08 155. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 46.88/47.08 156. ((op (op (e0) (e2)) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ### NotEqual 155 114 % 46.88/47.08 157. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.08 158. ((op (e0) (op (e2) (e3))) != (op (e0) (e5))) ((op (e2) (e3)) = (e5)) ### NotEqual 98 157 % 46.88/47.08 159. ((e5) != (op (e0) (op (e2) (e3)))) ((op (e0) (e5)) = (e5)) ((op (e2) (e3)) = (e5)) ### Trans-sym 158 128 % 46.88/47.08 160. ((op (op (e0) (e2)) (e3)) != (op (e0) (op (e2) (e3)))) ((op (e2) (e3)) = (e5)) ((op (e0) (e5)) = (e5)) ((op (e0) (e2)) = (e2)) ### Trans 156 159 % 46.88/47.08 161. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 46.88/47.08 162. ((op (op (e0) (e2)) (e4)) != (op (e2) (e4))) ((op (e0) (e2)) = (e2)) ### NotEqual 161 124 % 46.88/47.08 163. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.08 164. ((op (e0) (op (e2) (e4))) != (op (e0) (e1))) ((op (e2) (e4)) = (e1)) ### NotEqual 98 163 % 46.88/47.08 165. ((e1) != (op (e0) (op (e2) (e4)))) ((op (e0) (e1)) = (e1)) ((op (e2) (e4)) = (e1)) ### Trans-sym 164 2 % 46.88/47.08 166. ((op (op (e0) (e2)) (e4)) != (op (e0) (op (e2) (e4)))) ((op (e2) (e4)) = (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) = (e2)) ### Trans 162 165 % 46.88/47.08 167. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 46.88/47.08 168. ((op (op (e0) (e2)) (e5)) != (op (e2) (e5))) ((op (e0) (e2)) = (e2)) ### NotEqual 167 128 % 46.88/47.08 169. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.08 170. ((op (e0) (op (e2) (e5))) != (op (e0) (e3))) ((op (e2) (e5)) = (e3)) ### NotEqual 98 169 % 46.88/47.08 171. ((e3) != (op (e0) (op (e2) (e5)))) ((op (e0) (e3)) = (e3)) ((op (e2) (e5)) = (e3)) ### Trans-sym 170 114 % 46.88/47.08 172. ((op (op (e0) (e2)) (e5)) != (op (e0) (op (e2) (e5)))) ((op (e2) (e5)) = (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) = (e2)) ### Trans 168 171 % 46.88/47.08 173. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 46.88/47.08 174. ((op (op (e0) (e3)) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e3)) ### NotEqual 173 98 % 46.88/47.08 175. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.08 176. ((op (e0) (op (e3) (e0))) != (op (e0) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 98 175 % 46.88/47.08 177. ((e3) != (op (e0) (op (e3) (e0)))) ((op (e0) (e3)) = (e3)) ((op (e3) (e0)) = (e3)) ### Trans-sym 176 114 % 46.88/47.08 178. ((op (op (e0) (e3)) (e0)) != (op (e0) (op (e3) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e0) (e3)) = (e3)) ### Trans 174 177 % 46.88/47.08 179. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 46.88/47.08 180. ((op (op (e0) (e3)) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e3)) ### NotEqual 179 2 % 46.88/47.08 181. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.08 182. ((op (e0) (op (e3) (e1))) != (op (e0) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 98 181 % 46.88/47.08 183. ((e5) != (op (e0) (op (e3) (e1)))) ((op (e0) (e5)) = (e5)) ((op (e3) (e1)) = (e5)) ### Trans-sym 182 128 % 46.88/47.08 184. ((op (op (e0) (e3)) (e1)) != (op (e0) (op (e3) (e1)))) ((op (e3) (e1)) = (e5)) ((op (e0) (e5)) = (e5)) ((op (e0) (e3)) = (e3)) ### Trans 180 183 % 46.88/47.08 185. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 46.88/47.08 186. ((op (op (e0) (e3)) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e3)) ### NotEqual 185 4 % 46.88/47.08 187. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.08 188. ((op (e0) (op (e3) (e2))) != (op (e0) (e1))) ((op (e3) (e2)) = (e1)) ### NotEqual 98 187 % 46.88/47.08 189. ((e1) != (op (e0) (op (e3) (e2)))) ((op (e0) (e1)) = (e1)) ((op (e3) (e2)) = (e1)) ### Trans-sym 188 2 % 46.88/47.08 190. ((op (op (e0) (e3)) (e2)) != (op (e0) (op (e3) (e2)))) ((op (e3) (e2)) = (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e3)) = (e3)) ### Trans 186 189 % 46.88/47.08 191. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 46.88/47.08 192. ((op (op (e0) (e3)) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ### NotEqual 191 114 % 46.88/47.08 193. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.08 194. ((op (e0) (op (e3) (e3))) != (op (e0) (e4))) ((op (e3) (e3)) = (e4)) ### NotEqual 98 193 % 46.88/47.08 195. ((e4) != (op (e0) (op (e3) (e3)))) ((op (e0) (e4)) = (e4)) ((op (e3) (e3)) = (e4)) ### Trans-sym 194 124 % 46.88/47.08 196. ((op (op (e0) (e3)) (e3)) != (op (e0) (op (e3) (e3)))) ((op (e3) (e3)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e0) (e3)) = (e3)) ### Trans 192 195 % 46.88/47.08 197. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 46.88/47.08 198. ((op (op (e0) (e3)) (e4)) != (op (e3) (e4))) ((op (e0) (e3)) = (e3)) ### NotEqual 197 124 % 46.88/47.08 199. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.08 200. ((op (e0) (op (e3) (e4))) != (op (e0) (e0))) ((op (e3) (e4)) = (e0)) ### NotEqual 98 199 % 46.88/47.08 201. ((e0) != (op (e0) (op (e3) (e4)))) ((op (e0) (e0)) = (e0)) ((op (e3) (e4)) = (e0)) ### Trans-sym 200 98 % 46.88/47.08 202. ((op (op (e0) (e3)) (e4)) != (op (e0) (op (e3) (e4)))) ((op (e3) (e4)) = (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e3)) = (e3)) ### Trans 198 201 % 46.88/47.08 203. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 46.88/47.08 204. ((op (op (e0) (e3)) (e5)) != (op (e3) (e5))) ((op (e0) (e3)) = (e3)) ### NotEqual 203 128 % 46.88/47.08 205. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.08 206. ((op (e0) (op (e3) (e5))) != (op (e0) (e2))) ((op (e3) (e5)) = (e2)) ### NotEqual 98 205 % 46.88/47.08 207. ((e2) != (op (e0) (op (e3) (e5)))) ((op (e0) (e2)) = (e2)) ((op (e3) (e5)) = (e2)) ### Trans-sym 206 4 % 46.88/47.08 208. ((op (op (e0) (e3)) (e5)) != (op (e0) (op (e3) (e5)))) ((op (e3) (e5)) = (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e3)) = (e3)) ### Trans 204 207 % 46.88/47.08 209. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 46.88/47.08 210. ((op (op (e0) (e4)) (e0)) != (op (e4) (e0))) ((op (e0) (e4)) = (e4)) ### NotEqual 209 98 % 46.88/47.08 211. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.08 212. ((op (e0) (op (e4) (e0))) != (op (e0) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 98 211 % 46.88/47.08 213. ((e4) != (op (e0) (op (e4) (e0)))) ((op (e0) (e4)) = (e4)) ((op (e4) (e0)) = (e4)) ### Trans-sym 212 124 % 46.88/47.08 214. ((op (op (e0) (e4)) (e0)) != (op (e0) (op (e4) (e0)))) ((op (e4) (e0)) = (e4)) ((op (e0) (e4)) = (e4)) ### Trans 210 213 % 46.88/47.08 215. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 46.88/47.08 216. ((op (op (e0) (e4)) (e1)) != (op (e4) (e1))) ((op (e0) (e4)) = (e4)) ### NotEqual 215 2 % 46.88/47.08 217. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.08 218. ((op (e0) (op (e4) (e1))) != (op (e0) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 98 217 % 46.88/47.08 219. ((e2) != (op (e0) (op (e4) (e1)))) ((op (e0) (e2)) = (e2)) ((op (e4) (e1)) = (e2)) ### Trans-sym 218 4 % 46.88/47.08 220. ((op (op (e0) (e4)) (e1)) != (op (e0) (op (e4) (e1)))) ((op (e4) (e1)) = (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e4)) = (e4)) ### Trans 216 219 % 46.88/47.08 221. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 46.88/47.08 222. ((op (op (e0) (e4)) (e2)) != (op (e4) (e2))) ((op (e0) (e4)) = (e4)) ### NotEqual 221 4 % 46.88/47.08 223. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.08 224. ((op (e0) (op (e4) (e2))) != (op (e0) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 98 223 % 46.88/47.08 225. ((e5) != (op (e0) (op (e4) (e2)))) ((op (e0) (e5)) = (e5)) ((op (e4) (e2)) = (e5)) ### Trans-sym 224 128 % 46.88/47.08 226. ((op (op (e0) (e4)) (e2)) != (op (e0) (op (e4) (e2)))) ((op (e4) (e2)) = (e5)) ((op (e0) (e5)) = (e5)) ((op (e0) (e4)) = (e4)) ### Trans 222 225 % 46.88/47.08 227. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 46.88/47.08 228. ((op (op (e0) (e4)) (e3)) != (op (e4) (e3))) ((op (e0) (e4)) = (e4)) ### NotEqual 227 114 % 46.88/47.08 229. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.08 230. ((op (e0) (op (e4) (e3))) != (op (e0) (e0))) ((op (e4) (e3)) = (e0)) ### NotEqual 98 229 % 46.88/47.08 231. ((e0) != (op (e0) (op (e4) (e3)))) ((op (e0) (e0)) = (e0)) ((op (e4) (e3)) = (e0)) ### Trans-sym 230 98 % 46.88/47.08 232. ((op (op (e0) (e4)) (e3)) != (op (e0) (op (e4) (e3)))) ((op (e4) (e3)) = (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e4)) = (e4)) ### Trans 228 231 % 46.88/47.08 233. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 46.88/47.08 234. ((op (op (e0) (e4)) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) ### NotEqual 233 124 % 46.88/47.08 235. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.08 236. ((op (e0) (op (e4) (e4))) != (op (e0) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 98 235 % 46.88/47.08 237. ((e3) != (op (e0) (op (e4) (e4)))) ((op (e0) (e3)) = (e3)) ((op (e4) (e4)) = (e3)) ### Trans-sym 236 114 % 46.88/47.08 238. ((op (op (e0) (e4)) (e4)) != (op (e0) (op (e4) (e4)))) ((op (e4) (e4)) = (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e4)) = (e4)) ### Trans 234 237 % 46.88/47.08 239. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 46.88/47.08 240. ((op (op (e0) (e4)) (e5)) != (op (e4) (e5))) ((op (e0) (e4)) = (e4)) ### NotEqual 239 128 % 46.88/47.08 241. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.08 242. ((op (e0) (op (e4) (e5))) != (op (e0) (e1))) ((op (e4) (e5)) = (e1)) ### NotEqual 98 241 % 46.88/47.08 243. ((e1) != (op (e0) (op (e4) (e5)))) ((op (e0) (e1)) = (e1)) ((op (e4) (e5)) = (e1)) ### Trans-sym 242 2 % 46.88/47.08 244. ((op (op (e0) (e4)) (e5)) != (op (e0) (op (e4) (e5)))) ((op (e4) (e5)) = (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e4)) = (e4)) ### Trans 240 243 % 46.88/47.08 245. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 46.88/47.08 246. ((op (op (e0) (e5)) (e0)) != (op (e5) (e0))) ((op (e0) (e5)) = (e5)) ### NotEqual 245 98 % 46.88/47.08 247. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.08 248. ((op (e0) (op (e5) (e0))) != (op (e0) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 98 247 % 46.88/47.08 249. ((e5) != (op (e0) (op (e5) (e0)))) ((op (e0) (e5)) = (e5)) ((op (e5) (e0)) = (e5)) ### Trans-sym 248 128 % 46.88/47.08 250. ((op (op (e0) (e5)) (e0)) != (op (e0) (op (e5) (e0)))) ((op (e5) (e0)) = (e5)) ((op (e0) (e5)) = (e5)) ### Trans 246 249 % 46.88/47.08 251. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 46.88/47.08 252. ((op (op (e0) (e5)) (e1)) != (op (e5) (e1))) ((op (e0) (e5)) = (e5)) ### NotEqual 251 2 % 46.88/47.08 253. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.08 254. ((op (e0) (op (e5) (e1))) != (op (e0) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 98 253 % 46.88/47.08 255. ((e3) != (op (e0) (op (e5) (e1)))) ((op (e0) (e3)) = (e3)) ((op (e5) (e1)) = (e3)) ### Trans-sym 254 114 % 46.88/47.08 256. ((op (op (e0) (e5)) (e1)) != (op (e0) (op (e5) (e1)))) ((op (e5) (e1)) = (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e5)) = (e5)) ### Trans 252 255 % 46.88/47.08 257. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 46.88/47.08 258. ((op (op (e0) (e5)) (e2)) != (op (e5) (e2))) ((op (e0) (e5)) = (e5)) ### NotEqual 257 4 % 46.88/47.08 259. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.08 260. ((op (e0) (op (e5) (e2))) != (op (e0) (e4))) ((op (e5) (e2)) = (e4)) ### NotEqual 98 259 % 46.88/47.08 261. ((e4) != (op (e0) (op (e5) (e2)))) ((op (e0) (e4)) = (e4)) ((op (e5) (e2)) = (e4)) ### Trans-sym 260 124 % 46.88/47.08 262. ((op (op (e0) (e5)) (e2)) != (op (e0) (op (e5) (e2)))) ((op (e5) (e2)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e0) (e5)) = (e5)) ### Trans 258 261 % 46.88/47.08 263. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 46.88/47.08 264. ((op (op (e0) (e5)) (e3)) != (op (e5) (e3))) ((op (e0) (e5)) = (e5)) ### NotEqual 263 114 % 46.88/47.08 265. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.08 266. ((op (e0) (op (e5) (e3))) != (op (e0) (e1))) ((op (e5) (e3)) = (e1)) ### NotEqual 98 265 % 46.88/47.08 267. ((e1) != (op (e0) (op (e5) (e3)))) ((op (e0) (e1)) = (e1)) ((op (e5) (e3)) = (e1)) ### Trans-sym 266 2 % 46.88/47.08 268. ((op (op (e0) (e5)) (e3)) != (op (e0) (op (e5) (e3)))) ((op (e5) (e3)) = (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e5)) = (e5)) ### Trans 264 267 % 46.88/47.08 269. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 46.88/47.08 270. ((op (op (e0) (e5)) (e4)) != (op (e5) (e4))) ((op (e0) (e5)) = (e5)) ### NotEqual 269 124 % 46.88/47.08 271. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.08 272. ((op (e0) (op (e5) (e4))) != (op (e0) (e2))) ((op (e5) (e4)) = (e2)) ### NotEqual 98 271 % 46.88/47.08 273. ((e2) != (op (e0) (op (e5) (e4)))) ((op (e0) (e2)) = (e2)) ((op (e5) (e4)) = (e2)) ### Trans-sym 272 4 % 46.88/47.08 274. ((op (op (e0) (e5)) (e4)) != (op (e0) (op (e5) (e4)))) ((op (e5) (e4)) = (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e5)) = (e5)) ### Trans 270 273 % 46.88/47.08 275. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 46.88/47.08 276. ((op (op (e0) (e5)) (e5)) != (op (e5) (e5))) ((op (e0) (e5)) = (e5)) ### NotEqual 275 128 % 46.88/47.08 277. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.08 278. ((op (e0) (op (e5) (e5))) != (op (e0) (e0))) ((op (e5) (e5)) = (e0)) ### NotEqual 98 277 % 46.88/47.08 279. ((e0) != (op (e0) (op (e5) (e5)))) ((op (e0) (e0)) = (e0)) ((op (e5) (e5)) = (e0)) ### Trans-sym 278 98 % 46.88/47.08 280. ((op (op (e0) (e5)) (e5)) != (op (e0) (op (e5) (e5)))) ((op (e5) (e5)) = (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e5)) = (e5)) ### Trans 276 279 % 46.88/47.08 281. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.08 282. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 46.88/47.08 283. ((op (op (e1) (e0)) (e0)) != (op (e1) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ### NotEqual 281 282 % 46.88/47.08 284. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.08 285. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 46.88/47.08 286. ((op (op (e1) (e0)) (e1)) != (op (e1) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ### NotEqual 284 285 % 46.88/47.08 287. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.08 288. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 46.88/47.08 289. ((op (op (e1) (e0)) (e2)) != (op (e1) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) = (e1)) ### NotEqual 287 288 % 46.88/47.08 290. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.08 291. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 46.88/47.08 292. ((op (op (e1) (e0)) (e3)) != (op (e1) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) = (e1)) ### NotEqual 290 291 % 46.88/47.08 293. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.08 294. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 46.88/47.08 295. ((op (op (e1) (e0)) (e4)) != (op (e1) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e1) (e0)) = (e1)) ### NotEqual 293 294 % 46.88/47.08 296. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.08 297. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 46.88/47.08 298. ((op (op (e1) (e0)) (e5)) != (op (e1) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e1) (e0)) = (e1)) ### NotEqual 296 297 % 46.88/47.08 299. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.08 300. ((op (op (e1) (e1)) (e0)) != (op (e0) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 299 98 % 46.88/47.08 301. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.08 302. ((op (e1) (op (e1) (e0))) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 2 301 % 46.88/47.08 303. ((e0) != (op (e1) (op (e1) (e0)))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e1)) ### Trans-sym 302 98 % 46.88/47.08 304. ((op (op (e1) (e1)) (e0)) != (op (e1) (op (e1) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) ### Trans 300 303 % 46.88/47.08 305. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.08 306. ((op (op (e1) (e1)) (e1)) != (op (e0) (e1))) ((op (e1) (e1)) = (e0)) ### NotEqual 305 2 % 46.88/47.08 307. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.08 308. ((op (e1) (op (e1) (e1))) != (op (e1) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 2 307 % 46.88/47.08 309. ((e1) != (op (e1) (op (e1) (e1)))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) ### Trans-sym 308 2 % 46.88/47.08 310. ((op (op (e1) (e1)) (e1)) != (op (e1) (op (e1) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) ### Trans 306 309 % 46.88/47.08 311. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.08 312. ((op (op (e1) (e1)) (e2)) != (op (e0) (e2))) ((op (e1) (e1)) = (e0)) ### NotEqual 311 4 % 46.88/47.08 313. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.08 314. ((op (e1) (op (e1) (e2))) != (op (e1) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 2 313 % 46.88/47.08 315. ((e2) != (op (e1) (op (e1) (e2)))) ((op (e1) (e3)) = (e2)) ((op (e1) (e2)) = (e3)) ### Trans-sym 314 4 % 46.88/47.08 316. ((op (op (e1) (e1)) (e2)) != (op (e1) (op (e1) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans 312 315 % 46.88/47.08 317. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.08 318. ((op (op (e1) (e1)) (e3)) != (op (e0) (e3))) ((op (e1) (e1)) = (e0)) ### NotEqual 317 114 % 46.88/47.08 319. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.08 320. ((op (e1) (op (e1) (e3))) != (op (e1) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 2 319 % 46.88/47.08 321. ((e3) != (op (e1) (op (e1) (e3)))) ((op (e1) (e2)) = (e3)) ((op (e1) (e3)) = (e2)) ### Trans-sym 320 114 % 46.88/47.08 322. ((op (op (e1) (e1)) (e3)) != (op (e1) (op (e1) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans 318 321 % 46.88/47.08 323. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.08 324. ((op (op (e1) (e1)) (e4)) != (op (e0) (e4))) ((op (e1) (e1)) = (e0)) ### NotEqual 323 124 % 46.88/47.08 325. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.08 326. ((op (e1) (op (e1) (e4))) != (op (e1) (e5))) ((op (e1) (e4)) = (e5)) ### NotEqual 2 325 % 46.88/47.08 327. ((e4) != (op (e1) (op (e1) (e4)))) ((op (e1) (e5)) = (e4)) ((op (e1) (e4)) = (e5)) ### Trans-sym 326 124 % 46.88/47.08 328. ((op (op (e1) (e1)) (e4)) != (op (e1) (op (e1) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e1) (e4)) = (e5)) ((op (e1) (e5)) = (e4)) ((op (e1) (e1)) = (e0)) ### Trans 324 327 % 46.88/47.08 329. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.08 330. ((op (op (e1) (e1)) (e5)) != (op (e0) (e5))) ((op (e1) (e1)) = (e0)) ### NotEqual 329 128 % 46.88/47.08 331. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.08 332. ((op (e1) (op (e1) (e5))) != (op (e1) (e4))) ((op (e1) (e5)) = (e4)) ### NotEqual 2 331 % 46.88/47.08 333. ((e5) != (op (e1) (op (e1) (e5)))) ((op (e1) (e4)) = (e5)) ((op (e1) (e5)) = (e4)) ### Trans-sym 332 128 % 46.88/47.08 334. ((op (op (e1) (e1)) (e5)) != (op (e1) (op (e1) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e1) (e5)) = (e4)) ((op (e1) (e4)) = (e5)) ((op (e1) (e1)) = (e0)) ### Trans 330 333 % 46.88/47.08 335. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.08 336. ((op (op (e1) (e2)) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) = (e3)) ### NotEqual 335 98 % 46.88/47.08 337. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.08 338. ((op (e1) (op (e2) (e0))) != (op (e1) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 2 337 % 46.88/47.08 339. ((e3) != (op (e1) (op (e2) (e0)))) ((op (e1) (e2)) = (e3)) ((op (e2) (e0)) = (e2)) ### Trans-sym 338 114 % 46.88/47.08 340. ((op (op (e1) (e2)) (e0)) != (op (e1) (op (e2) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e2)) = (e3)) ### Trans 336 339 % 46.88/47.08 341. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.08 342. ((op (op (e1) (e2)) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) = (e3)) ### NotEqual 341 2 % 46.88/47.08 343. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.08 344. ((op (e1) (op (e2) (e1))) != (op (e1) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 2 343 % 46.88/47.08 345. ((e5) != (op (e1) (op (e2) (e1)))) ((op (e1) (e4)) = (e5)) ((op (e2) (e1)) = (e4)) ### Trans-sym 344 128 % 46.88/47.08 346. ((op (op (e1) (e2)) (e1)) != (op (e1) (op (e2) (e1)))) ((op (e3) (e1)) = (e5)) ((op (e2) (e1)) = (e4)) ((op (e1) (e4)) = (e5)) ((op (e1) (e2)) = (e3)) ### Trans 342 345 % 46.88/47.08 347. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.08 348. ((op (op (e1) (e2)) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ### NotEqual 347 4 % 46.88/47.08 349. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.08 350. ((op (e1) (op (e2) (e2))) != (op (e1) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 2 349 % 46.88/47.08 351. ((e1) != (op (e1) (op (e2) (e2)))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans-sym 350 2 % 46.88/47.08 352. ((op (op (e1) (e2)) (e2)) != (op (e1) (op (e2) (e2)))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) = (e3)) ### Trans 348 351 % 46.88/47.08 353. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.08 354. ((op (op (e1) (e2)) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 353 114 % 46.88/47.08 355. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.08 356. ((op (e1) (op (e2) (e3))) != (op (e1) (e5))) ((op (e2) (e3)) = (e5)) ### NotEqual 2 355 % 46.88/47.08 357. ((e4) != (op (e1) (op (e2) (e3)))) ((op (e1) (e5)) = (e4)) ((op (e2) (e3)) = (e5)) ### Trans-sym 356 124 % 46.88/47.08 358. ((op (op (e1) (e2)) (e3)) != (op (e1) (op (e2) (e3)))) ((op (e3) (e3)) = (e4)) ((op (e2) (e3)) = (e5)) ((op (e1) (e5)) = (e4)) ((op (e1) (e2)) = (e3)) ### Trans 354 357 % 46.88/47.08 359. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.08 360. ((op (op (e1) (e2)) (e4)) != (op (e3) (e4))) ((op (e1) (e2)) = (e3)) ### NotEqual 359 124 % 46.88/47.08 361. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.08 362. ((op (e1) (op (e2) (e4))) != (op (e1) (e1))) ((op (e2) (e4)) = (e1)) ### NotEqual 2 361 % 46.88/47.08 363. ((e0) != (op (e1) (op (e2) (e4)))) ((op (e1) (e1)) = (e0)) ((op (e2) (e4)) = (e1)) ### Trans-sym 362 98 % 46.88/47.08 364. ((op (op (e1) (e2)) (e4)) != (op (e1) (op (e2) (e4)))) ((op (e3) (e4)) = (e0)) ((op (e2) (e4)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) ### Trans 360 363 % 46.88/47.08 365. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.08 366. ((op (op (e1) (e2)) (e5)) != (op (e3) (e5))) ((op (e1) (e2)) = (e3)) ### NotEqual 365 128 % 46.88/47.08 367. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.08 368. ((op (e1) (op (e2) (e5))) != (op (e1) (e3))) ((op (e2) (e5)) = (e3)) ### NotEqual 2 367 % 46.88/47.08 369. ((e2) != (op (e1) (op (e2) (e5)))) ((op (e1) (e3)) = (e2)) ((op (e2) (e5)) = (e3)) ### Trans-sym 368 4 % 46.88/47.08 370. ((op (op (e1) (e2)) (e5)) != (op (e1) (op (e2) (e5)))) ((op (e3) (e5)) = (e2)) ((op (e2) (e5)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e2)) = (e3)) ### Trans 366 369 % 46.88/47.08 371. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.08 372. ((op (op (e1) (e3)) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e2)) ### NotEqual 371 98 % 46.88/47.08 373. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.08 374. ((op (e1) (op (e3) (e0))) != (op (e1) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 2 373 % 46.88/47.08 375. ((e2) != (op (e1) (op (e3) (e0)))) ((op (e1) (e3)) = (e2)) ((op (e3) (e0)) = (e3)) ### Trans-sym 374 4 % 46.88/47.08 376. ((op (op (e1) (e3)) (e0)) != (op (e1) (op (e3) (e0)))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) = (e3)) ((op (e1) (e3)) = (e2)) ### Trans 372 375 % 46.88/47.08 377. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.08 378. ((op (op (e1) (e3)) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) = (e2)) ### NotEqual 377 2 % 46.88/47.08 379. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.08 380. ((op (e1) (op (e3) (e1))) != (op (e1) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 2 379 % 46.88/47.08 381. ((e4) != (op (e1) (op (e3) (e1)))) ((op (e1) (e5)) = (e4)) ((op (e3) (e1)) = (e5)) ### Trans-sym 380 124 % 46.88/47.08 382. ((op (op (e1) (e3)) (e1)) != (op (e1) (op (e3) (e1)))) ((op (e2) (e1)) = (e4)) ((op (e3) (e1)) = (e5)) ((op (e1) (e5)) = (e4)) ((op (e1) (e3)) = (e2)) ### Trans 378 381 % 46.88/47.08 383. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.08 384. ((op (op (e1) (e3)) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 383 4 % 46.88/47.08 385. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.08 386. ((op (e1) (op (e3) (e2))) != (op (e1) (e1))) ((op (e3) (e2)) = (e1)) ### NotEqual 2 385 % 46.88/47.08 387. ((e0) != (op (e1) (op (e3) (e2)))) ((op (e1) (e1)) = (e0)) ((op (e3) (e2)) = (e1)) ### Trans-sym 386 98 % 46.88/47.08 388. ((op (op (e1) (e3)) (e2)) != (op (e1) (op (e3) (e2)))) ((op (e2) (e2)) = (e0)) ((op (e3) (e2)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e3)) = (e2)) ### Trans 384 387 % 46.88/47.08 389. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.08 390. ((op (op (e1) (e3)) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) ### NotEqual 389 114 % 46.88/47.08 391. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.08 392. ((op (e1) (op (e3) (e3))) != (op (e1) (e4))) ((op (e3) (e3)) = (e4)) ### NotEqual 2 391 % 46.88/47.08 393. ((e5) != (op (e1) (op (e3) (e3)))) ((op (e1) (e4)) = (e5)) ((op (e3) (e3)) = (e4)) ### Trans-sym 392 128 % 46.88/47.08 394. ((op (op (e1) (e3)) (e3)) != (op (e1) (op (e3) (e3)))) ((op (e2) (e3)) = (e5)) ((op (e3) (e3)) = (e4)) ((op (e1) (e4)) = (e5)) ((op (e1) (e3)) = (e2)) ### Trans 390 393 % 46.88/47.08 395. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.08 396. ((op (op (e1) (e3)) (e4)) != (op (e2) (e4))) ((op (e1) (e3)) = (e2)) ### NotEqual 395 124 % 46.88/47.08 397. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.08 398. ((op (e1) (op (e3) (e4))) != (op (e1) (e0))) ((op (e3) (e4)) = (e0)) ### NotEqual 2 397 % 46.88/47.08 399. ((e1) != (op (e1) (op (e3) (e4)))) ((op (e1) (e0)) = (e1)) ((op (e3) (e4)) = (e0)) ### Trans-sym 398 2 % 46.88/47.08 400. ((op (op (e1) (e3)) (e4)) != (op (e1) (op (e3) (e4)))) ((op (e2) (e4)) = (e1)) ((op (e3) (e4)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e3)) = (e2)) ### Trans 396 399 % 46.88/47.08 401. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.08 402. ((op (op (e1) (e3)) (e5)) != (op (e2) (e5))) ((op (e1) (e3)) = (e2)) ### NotEqual 401 128 % 46.88/47.08 403. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.08 404. ((op (e1) (op (e3) (e5))) != (op (e1) (e2))) ((op (e3) (e5)) = (e2)) ### NotEqual 2 403 % 46.88/47.08 405. ((e3) != (op (e1) (op (e3) (e5)))) ((op (e1) (e2)) = (e3)) ((op (e3) (e5)) = (e2)) ### Trans-sym 404 114 % 46.88/47.08 406. ((op (op (e1) (e3)) (e5)) != (op (e1) (op (e3) (e5)))) ((op (e2) (e5)) = (e3)) ((op (e3) (e5)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e1) (e3)) = (e2)) ### Trans 402 405 % 46.88/47.08 407. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.08 408. ((op (op (e1) (e4)) (e0)) != (op (e5) (e0))) ((op (e1) (e4)) = (e5)) ### NotEqual 407 98 % 46.88/47.08 409. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.08 410. ((op (e1) (op (e4) (e0))) != (op (e1) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 2 409 % 46.88/47.08 411. ((e5) != (op (e1) (op (e4) (e0)))) ((op (e1) (e4)) = (e5)) ((op (e4) (e0)) = (e4)) ### Trans-sym 410 128 % 46.88/47.08 412. ((op (op (e1) (e4)) (e0)) != (op (e1) (op (e4) (e0)))) ((op (e5) (e0)) = (e5)) ((op (e4) (e0)) = (e4)) ((op (e1) (e4)) = (e5)) ### Trans 408 411 % 46.88/47.08 413. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.08 414. ((op (op (e1) (e4)) (e1)) != (op (e5) (e1))) ((op (e1) (e4)) = (e5)) ### NotEqual 413 2 % 46.88/47.08 415. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.08 416. ((op (e1) (op (e4) (e1))) != (op (e1) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 2 415 % 46.88/47.08 417. ((e3) != (op (e1) (op (e4) (e1)))) ((op (e1) (e2)) = (e3)) ((op (e4) (e1)) = (e2)) ### Trans-sym 416 114 % 46.88/47.08 418. ((op (op (e1) (e4)) (e1)) != (op (e1) (op (e4) (e1)))) ((op (e5) (e1)) = (e3)) ((op (e4) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e1) (e4)) = (e5)) ### Trans 414 417 % 46.88/47.08 419. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.08 420. ((op (op (e1) (e4)) (e2)) != (op (e5) (e2))) ((op (e1) (e4)) = (e5)) ### NotEqual 419 4 % 46.88/47.08 421. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.08 422. ((op (e1) (op (e4) (e2))) != (op (e1) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 2 421 % 46.88/47.08 423. ((e4) != (op (e1) (op (e4) (e2)))) ((op (e1) (e5)) = (e4)) ((op (e4) (e2)) = (e5)) ### Trans-sym 422 124 % 46.88/47.08 424. ((op (op (e1) (e4)) (e2)) != (op (e1) (op (e4) (e2)))) ((op (e5) (e2)) = (e4)) ((op (e4) (e2)) = (e5)) ((op (e1) (e5)) = (e4)) ((op (e1) (e4)) = (e5)) ### Trans 420 423 % 46.88/47.08 425. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.08 426. ((op (op (e1) (e4)) (e3)) != (op (e5) (e3))) ((op (e1) (e4)) = (e5)) ### NotEqual 425 114 % 46.88/47.08 427. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.08 428. ((op (e1) (op (e4) (e3))) != (op (e1) (e0))) ((op (e4) (e3)) = (e0)) ### NotEqual 2 427 % 46.88/47.08 429. ((e1) != (op (e1) (op (e4) (e3)))) ((op (e1) (e0)) = (e1)) ((op (e4) (e3)) = (e0)) ### Trans-sym 428 2 % 46.88/47.08 430. ((op (op (e1) (e4)) (e3)) != (op (e1) (op (e4) (e3)))) ((op (e5) (e3)) = (e1)) ((op (e4) (e3)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e4)) = (e5)) ### Trans 426 429 % 46.88/47.08 431. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.08 432. ((op (op (e1) (e4)) (e4)) != (op (e5) (e4))) ((op (e1) (e4)) = (e5)) ### NotEqual 431 124 % 46.88/47.08 433. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.08 434. ((op (e1) (op (e4) (e4))) != (op (e1) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 2 433 % 46.88/47.08 435. ((e2) != (op (e1) (op (e4) (e4)))) ((op (e1) (e3)) = (e2)) ((op (e4) (e4)) = (e3)) ### Trans-sym 434 4 % 46.88/47.08 436. ((op (op (e1) (e4)) (e4)) != (op (e1) (op (e4) (e4)))) ((op (e5) (e4)) = (e2)) ((op (e4) (e4)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e4)) = (e5)) ### Trans 432 435 % 46.88/47.08 437. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.08 438. ((op (op (e1) (e4)) (e5)) != (op (e5) (e5))) ((op (e1) (e4)) = (e5)) ### NotEqual 437 128 % 46.88/47.08 439. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.08 440. ((op (e1) (op (e4) (e5))) != (op (e1) (e1))) ((op (e4) (e5)) = (e1)) ### NotEqual 2 439 % 46.88/47.08 441. ((e0) != (op (e1) (op (e4) (e5)))) ((op (e1) (e1)) = (e0)) ((op (e4) (e5)) = (e1)) ### Trans-sym 440 98 % 46.88/47.08 442. ((op (op (e1) (e4)) (e5)) != (op (e1) (op (e4) (e5)))) ((op (e5) (e5)) = (e0)) ((op (e4) (e5)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e4)) = (e5)) ### Trans 438 441 % 46.88/47.08 443. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.08 444. ((op (op (e1) (e5)) (e0)) != (op (e4) (e0))) ((op (e1) (e5)) = (e4)) ### NotEqual 443 98 % 46.88/47.08 445. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.08 446. ((op (e1) (op (e5) (e0))) != (op (e1) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 2 445 % 46.88/47.08 447. ((e4) != (op (e1) (op (e5) (e0)))) ((op (e1) (e5)) = (e4)) ((op (e5) (e0)) = (e5)) ### Trans-sym 446 124 % 46.88/47.08 448. ((op (op (e1) (e5)) (e0)) != (op (e1) (op (e5) (e0)))) ((op (e4) (e0)) = (e4)) ((op (e5) (e0)) = (e5)) ((op (e1) (e5)) = (e4)) ### Trans 444 447 % 46.88/47.08 449. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.08 450. ((op (op (e1) (e5)) (e1)) != (op (e4) (e1))) ((op (e1) (e5)) = (e4)) ### NotEqual 449 2 % 46.88/47.08 451. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.08 452. ((op (e1) (op (e5) (e1))) != (op (e1) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 2 451 % 46.88/47.08 453. ((e2) != (op (e1) (op (e5) (e1)))) ((op (e1) (e3)) = (e2)) ((op (e5) (e1)) = (e3)) ### Trans-sym 452 4 % 46.88/47.08 454. ((op (op (e1) (e5)) (e1)) != (op (e1) (op (e5) (e1)))) ((op (e4) (e1)) = (e2)) ((op (e5) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e5)) = (e4)) ### Trans 450 453 % 46.88/47.08 455. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.08 456. ((op (op (e1) (e5)) (e2)) != (op (e4) (e2))) ((op (e1) (e5)) = (e4)) ### NotEqual 455 4 % 46.88/47.08 457. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.08 458. ((op (e1) (op (e5) (e2))) != (op (e1) (e4))) ((op (e5) (e2)) = (e4)) ### NotEqual 2 457 % 46.88/47.08 459. ((e5) != (op (e1) (op (e5) (e2)))) ((op (e1) (e4)) = (e5)) ((op (e5) (e2)) = (e4)) ### Trans-sym 458 128 % 46.88/47.08 460. ((op (op (e1) (e5)) (e2)) != (op (e1) (op (e5) (e2)))) ((op (e4) (e2)) = (e5)) ((op (e5) (e2)) = (e4)) ((op (e1) (e4)) = (e5)) ((op (e1) (e5)) = (e4)) ### Trans 456 459 % 46.88/47.08 461. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.08 462. ((op (op (e1) (e5)) (e3)) != (op (e4) (e3))) ((op (e1) (e5)) = (e4)) ### NotEqual 461 114 % 46.88/47.08 463. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.08 464. ((op (e1) (op (e5) (e3))) != (op (e1) (e1))) ((op (e5) (e3)) = (e1)) ### NotEqual 2 463 % 46.88/47.08 465. ((e0) != (op (e1) (op (e5) (e3)))) ((op (e1) (e1)) = (e0)) ((op (e5) (e3)) = (e1)) ### Trans-sym 464 98 % 46.88/47.08 466. ((op (op (e1) (e5)) (e3)) != (op (e1) (op (e5) (e3)))) ((op (e4) (e3)) = (e0)) ((op (e5) (e3)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e5)) = (e4)) ### Trans 462 465 % 46.88/47.08 467. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.08 468. ((op (op (e1) (e5)) (e4)) != (op (e4) (e4))) ((op (e1) (e5)) = (e4)) ### NotEqual 467 124 % 46.88/47.08 469. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.08 470. ((op (e1) (op (e5) (e4))) != (op (e1) (e2))) ((op (e5) (e4)) = (e2)) ### NotEqual 2 469 % 46.88/47.08 471. ((e3) != (op (e1) (op (e5) (e4)))) ((op (e1) (e2)) = (e3)) ((op (e5) (e4)) = (e2)) ### Trans-sym 470 114 % 46.88/47.08 472. ((op (op (e1) (e5)) (e4)) != (op (e1) (op (e5) (e4)))) ((op (e4) (e4)) = (e3)) ((op (e5) (e4)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e1) (e5)) = (e4)) ### Trans 468 471 % 46.88/47.08 473. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.08 474. ((op (op (e1) (e5)) (e5)) != (op (e4) (e5))) ((op (e1) (e5)) = (e4)) ### NotEqual 473 128 % 46.88/47.08 475. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.08 476. ((op (e1) (op (e5) (e5))) != (op (e1) (e0))) ((op (e5) (e5)) = (e0)) ### NotEqual 2 475 % 46.88/47.08 477. ((e1) != (op (e1) (op (e5) (e5)))) ((op (e1) (e0)) = (e1)) ((op (e5) (e5)) = (e0)) ### Trans-sym 476 2 % 46.88/47.08 478. ((op (op (e1) (e5)) (e5)) != (op (e1) (op (e5) (e5)))) ((op (e4) (e5)) = (e1)) ((op (e5) (e5)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e5)) = (e4)) ### Trans 474 477 % 46.88/47.08 479. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.08 480. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 46.88/47.08 481. ((op (op (e2) (e0)) (e0)) != (op (e2) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) = (e2)) ### NotEqual 479 480 % 46.88/47.08 482. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.08 483. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 46.88/47.08 484. ((op (op (e2) (e0)) (e1)) != (op (e2) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ### NotEqual 482 483 % 46.88/47.08 485. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.08 486. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 46.88/47.08 487. ((op (op (e2) (e0)) (e2)) != (op (e2) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) = (e2)) ### NotEqual 485 486 % 46.88/47.08 488. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.08 489. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 46.88/47.08 490. ((op (op (e2) (e0)) (e3)) != (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e2) (e0)) = (e2)) ### NotEqual 488 489 % 46.88/47.08 491. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.08 492. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 46.88/47.08 493. ((op (op (e2) (e0)) (e4)) != (op (e2) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e2) (e0)) = (e2)) ### NotEqual 491 492 % 46.88/47.08 494. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.08 495. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 46.88/47.08 496. ((op (op (e2) (e0)) (e5)) != (op (e2) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e2) (e0)) = (e2)) ### NotEqual 494 495 % 46.88/47.08 497. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.08 498. ((op (op (e2) (e1)) (e0)) != (op (e4) (e0))) ((op (e2) (e1)) = (e4)) ### NotEqual 497 98 % 46.88/47.08 499. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.08 500. ((op (e2) (op (e1) (e0))) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 4 499 % 46.88/47.08 501. ((e4) != (op (e2) (op (e1) (e0)))) ((op (e2) (e1)) = (e4)) ((op (e1) (e0)) = (e1)) ### Trans-sym 500 124 % 46.88/47.08 502. ((op (op (e2) (e1)) (e0)) != (op (e2) (op (e1) (e0)))) ((op (e4) (e0)) = (e4)) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) = (e4)) ### Trans 498 501 % 46.88/47.08 503. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.08 504. ((op (op (e2) (e1)) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) = (e4)) ### NotEqual 503 2 % 46.88/47.08 505. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.08 506. ((op (e2) (op (e1) (e1))) != (op (e2) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 4 505 % 46.88/47.08 507. ((e2) != (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 506 4 % 46.88/47.08 508. ((op (op (e2) (e1)) (e1)) != (op (e2) (op (e1) (e1)))) ((op (e4) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) = (e4)) ### Trans 504 507 % 46.88/47.08 509. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.08 510. ((op (op (e2) (e1)) (e2)) != (op (e4) (e2))) ((op (e2) (e1)) = (e4)) ### NotEqual 509 4 % 46.88/47.08 511. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.08 512. ((op (e2) (op (e1) (e2))) != (op (e2) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 4 511 % 46.88/47.08 513. ((e5) != (op (e2) (op (e1) (e2)))) ((op (e2) (e3)) = (e5)) ((op (e1) (e2)) = (e3)) ### Trans-sym 512 128 % 46.88/47.08 514. ((op (op (e2) (e1)) (e2)) != (op (e2) (op (e1) (e2)))) ((op (e4) (e2)) = (e5)) ((op (e1) (e2)) = (e3)) ((op (e2) (e3)) = (e5)) ((op (e2) (e1)) = (e4)) ### Trans 510 513 % 46.88/47.08 515. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.08 516. ((op (op (e2) (e1)) (e3)) != (op (e4) (e3))) ((op (e2) (e1)) = (e4)) ### NotEqual 515 114 % 46.88/47.08 517. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.08 518. ((op (e2) (op (e1) (e3))) != (op (e2) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 4 517 % 46.88/47.08 519. ((e0) != (op (e2) (op (e1) (e3)))) ((op (e2) (e2)) = (e0)) ((op (e1) (e3)) = (e2)) ### Trans-sym 518 98 % 46.88/47.08 520. ((op (op (e2) (e1)) (e3)) != (op (e2) (op (e1) (e3)))) ((op (e4) (e3)) = (e0)) ((op (e1) (e3)) = (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e1)) = (e4)) ### Trans 516 519 % 46.88/47.08 521. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.08 522. ((op (op (e2) (e1)) (e4)) != (op (e4) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 521 124 % 46.88/47.08 523. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.08 524. ((op (e2) (op (e1) (e4))) != (op (e2) (e5))) ((op (e1) (e4)) = (e5)) ### NotEqual 4 523 % 46.88/47.08 525. ((e3) != (op (e2) (op (e1) (e4)))) ((op (e2) (e5)) = (e3)) ((op (e1) (e4)) = (e5)) ### Trans-sym 524 114 % 46.88/47.08 526. ((op (op (e2) (e1)) (e4)) != (op (e2) (op (e1) (e4)))) ((op (e4) (e4)) = (e3)) ((op (e1) (e4)) = (e5)) ((op (e2) (e5)) = (e3)) ((op (e2) (e1)) = (e4)) ### Trans 522 525 % 46.88/47.08 527. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.08 528. ((op (op (e2) (e1)) (e5)) != (op (e4) (e5))) ((op (e2) (e1)) = (e4)) ### NotEqual 527 128 % 46.88/47.08 529. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.08 530. ((op (e2) (op (e1) (e5))) != (op (e2) (e4))) ((op (e1) (e5)) = (e4)) ### NotEqual 4 529 % 46.88/47.08 531. ((e1) != (op (e2) (op (e1) (e5)))) ((op (e2) (e4)) = (e1)) ((op (e1) (e5)) = (e4)) ### Trans-sym 530 2 % 46.88/47.08 532. ((op (op (e2) (e1)) (e5)) != (op (e2) (op (e1) (e5)))) ((op (e4) (e5)) = (e1)) ((op (e1) (e5)) = (e4)) ((op (e2) (e4)) = (e1)) ((op (e2) (e1)) = (e4)) ### Trans 528 531 % 46.88/47.08 533. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.08 534. ((op (op (e2) (e2)) (e0)) != (op (e0) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 533 98 % 46.88/47.08 535. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.08 536. ((op (e2) (op (e2) (e0))) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 4 535 % 46.88/47.08 537. ((e0) != (op (e2) (op (e2) (e0)))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e2)) ### Trans-sym 536 98 % 46.88/47.08 538. ((op (op (e2) (e2)) (e0)) != (op (e2) (op (e2) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e0)) ### Trans 534 537 % 46.88/47.08 539. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.08 540. ((op (op (e2) (e2)) (e1)) != (op (e0) (e1))) ((op (e2) (e2)) = (e0)) ### NotEqual 539 2 % 46.88/47.08 541. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.08 542. ((op (e2) (op (e2) (e1))) != (op (e2) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 4 541 % 46.88/47.08 543. ((e1) != (op (e2) (op (e2) (e1)))) ((op (e2) (e4)) = (e1)) ((op (e2) (e1)) = (e4)) ### Trans-sym 542 2 % 46.88/47.09 544. ((op (op (e2) (e2)) (e1)) != (op (e2) (op (e2) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e2) (e4)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans 540 543 % 46.88/47.09 545. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.09 546. ((op (op (e2) (e2)) (e2)) != (op (e0) (e2))) ((op (e2) (e2)) = (e0)) ### NotEqual 545 4 % 46.88/47.09 547. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.09 548. ((op (e2) (op (e2) (e2))) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 4 547 % 46.88/47.09 549. ((e2) != (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e0)) ### Trans-sym 548 4 % 46.88/47.09 550. ((op (op (e2) (e2)) (e2)) != (op (e2) (op (e2) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e0)) ### Trans 546 549 % 46.88/47.09 551. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.09 552. ((op (op (e2) (e2)) (e3)) != (op (e0) (e3))) ((op (e2) (e2)) = (e0)) ### NotEqual 551 114 % 46.88/47.09 553. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.09 554. ((op (e2) (op (e2) (e3))) != (op (e2) (e5))) ((op (e2) (e3)) = (e5)) ### NotEqual 4 553 % 46.88/47.09 555. ((e3) != (op (e2) (op (e2) (e3)))) ((op (e2) (e5)) = (e3)) ((op (e2) (e3)) = (e5)) ### Trans-sym 554 114 % 46.88/47.09 556. ((op (op (e2) (e2)) (e3)) != (op (e2) (op (e2) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e2) (e3)) = (e5)) ((op (e2) (e5)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans 552 555 % 46.88/47.09 557. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.09 558. ((op (op (e2) (e2)) (e4)) != (op (e0) (e4))) ((op (e2) (e2)) = (e0)) ### NotEqual 557 124 % 46.88/47.09 559. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.09 560. ((op (e2) (op (e2) (e4))) != (op (e2) (e1))) ((op (e2) (e4)) = (e1)) ### NotEqual 4 559 % 46.88/47.09 561. ((e4) != (op (e2) (op (e2) (e4)))) ((op (e2) (e1)) = (e4)) ((op (e2) (e4)) = (e1)) ### Trans-sym 560 124 % 46.88/47.09 562. ((op (op (e2) (e2)) (e4)) != (op (e2) (op (e2) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e2) (e4)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e2) (e2)) = (e0)) ### Trans 558 561 % 46.88/47.09 563. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.09 564. ((op (op (e2) (e2)) (e5)) != (op (e0) (e5))) ((op (e2) (e2)) = (e0)) ### NotEqual 563 128 % 46.88/47.09 565. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.09 566. ((op (e2) (op (e2) (e5))) != (op (e2) (e3))) ((op (e2) (e5)) = (e3)) ### NotEqual 4 565 % 46.88/47.09 567. ((e5) != (op (e2) (op (e2) (e5)))) ((op (e2) (e3)) = (e5)) ((op (e2) (e5)) = (e3)) ### Trans-sym 566 128 % 46.88/47.09 568. ((op (op (e2) (e2)) (e5)) != (op (e2) (op (e2) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e2) (e5)) = (e3)) ((op (e2) (e3)) = (e5)) ((op (e2) (e2)) = (e0)) ### Trans 564 567 % 46.88/47.09 569. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.09 570. ((op (op (e2) (e3)) (e0)) != (op (e5) (e0))) ((op (e2) (e3)) = (e5)) ### NotEqual 569 98 % 46.88/47.09 571. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.09 572. ((op (e2) (op (e3) (e0))) != (op (e2) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 4 571 % 46.88/47.09 573. ((e5) != (op (e2) (op (e3) (e0)))) ((op (e2) (e3)) = (e5)) ((op (e3) (e0)) = (e3)) ### Trans-sym 572 128 % 46.88/47.09 574. ((op (op (e2) (e3)) (e0)) != (op (e2) (op (e3) (e0)))) ((op (e5) (e0)) = (e5)) ((op (e3) (e0)) = (e3)) ((op (e2) (e3)) = (e5)) ### Trans 570 573 % 46.88/47.09 575. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.09 576. ((op (op (e2) (e3)) (e1)) != (op (e5) (e1))) ((op (e2) (e3)) = (e5)) ### NotEqual 575 2 % 46.88/47.09 577. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.09 578. ((op (e2) (op (e3) (e1))) != (op (e2) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 4 577 % 46.88/47.09 579. ((e3) != (op (e2) (op (e3) (e1)))) ((op (e2) (e5)) = (e3)) ((op (e3) (e1)) = (e5)) ### Trans-sym 578 114 % 46.88/47.09 580. ((op (op (e2) (e3)) (e1)) != (op (e2) (op (e3) (e1)))) ((op (e5) (e1)) = (e3)) ((op (e3) (e1)) = (e5)) ((op (e2) (e5)) = (e3)) ((op (e2) (e3)) = (e5)) ### Trans 576 579 % 46.88/47.09 581. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.09 582. ((op (op (e2) (e3)) (e2)) != (op (e5) (e2))) ((op (e2) (e3)) = (e5)) ### NotEqual 581 4 % 46.88/47.09 583. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.09 584. ((op (e2) (op (e3) (e2))) != (op (e2) (e1))) ((op (e3) (e2)) = (e1)) ### NotEqual 4 583 % 46.88/47.09 585. ((e4) != (op (e2) (op (e3) (e2)))) ((op (e2) (e1)) = (e4)) ((op (e3) (e2)) = (e1)) ### Trans-sym 584 124 % 46.88/47.09 586. ((op (op (e2) (e3)) (e2)) != (op (e2) (op (e3) (e2)))) ((op (e5) (e2)) = (e4)) ((op (e3) (e2)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e2) (e3)) = (e5)) ### Trans 582 585 % 46.88/47.09 587. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.09 588. ((op (op (e2) (e3)) (e3)) != (op (e5) (e3))) ((op (e2) (e3)) = (e5)) ### NotEqual 587 114 % 46.88/47.09 589. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.09 590. ((op (e2) (op (e3) (e3))) != (op (e2) (e4))) ((op (e3) (e3)) = (e4)) ### NotEqual 4 589 % 46.88/47.09 591. ((e1) != (op (e2) (op (e3) (e3)))) ((op (e2) (e4)) = (e1)) ((op (e3) (e3)) = (e4)) ### Trans-sym 590 2 % 46.88/47.09 592. ((op (op (e2) (e3)) (e3)) != (op (e2) (op (e3) (e3)))) ((op (e5) (e3)) = (e1)) ((op (e3) (e3)) = (e4)) ((op (e2) (e4)) = (e1)) ((op (e2) (e3)) = (e5)) ### Trans 588 591 % 46.88/47.09 593. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.09 594. ((op (op (e2) (e3)) (e4)) != (op (e5) (e4))) ((op (e2) (e3)) = (e5)) ### NotEqual 593 124 % 46.88/47.09 595. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.09 596. ((op (e2) (op (e3) (e4))) != (op (e2) (e0))) ((op (e3) (e4)) = (e0)) ### NotEqual 4 595 % 46.88/47.09 597. ((e2) != (op (e2) (op (e3) (e4)))) ((op (e2) (e0)) = (e2)) ((op (e3) (e4)) = (e0)) ### Trans-sym 596 4 % 46.88/47.09 598. ((op (op (e2) (e3)) (e4)) != (op (e2) (op (e3) (e4)))) ((op (e5) (e4)) = (e2)) ((op (e3) (e4)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e2) (e3)) = (e5)) ### Trans 594 597 % 46.88/47.09 599. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.09 600. ((op (op (e2) (e3)) (e5)) != (op (e5) (e5))) ((op (e2) (e3)) = (e5)) ### NotEqual 599 128 % 46.88/47.09 601. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.09 602. ((op (e2) (op (e3) (e5))) != (op (e2) (e2))) ((op (e3) (e5)) = (e2)) ### NotEqual 4 601 % 46.88/47.09 603. ((e0) != (op (e2) (op (e3) (e5)))) ((op (e2) (e2)) = (e0)) ((op (e3) (e5)) = (e2)) ### Trans-sym 602 98 % 46.88/47.09 604. ((op (op (e2) (e3)) (e5)) != (op (e2) (op (e3) (e5)))) ((op (e5) (e5)) = (e0)) ((op (e3) (e5)) = (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) = (e5)) ### Trans 600 603 % 46.88/47.09 605. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.09 606. ((op (op (e2) (e4)) (e0)) != (op (e1) (e0))) ((op (e2) (e4)) = (e1)) ### NotEqual 605 98 % 46.88/47.09 607. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.09 608. ((op (e2) (op (e4) (e0))) != (op (e2) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 4 607 % 46.88/47.09 609. ((e1) != (op (e2) (op (e4) (e0)))) ((op (e2) (e4)) = (e1)) ((op (e4) (e0)) = (e4)) ### Trans-sym 608 2 % 46.88/47.09 610. ((op (op (e2) (e4)) (e0)) != (op (e2) (op (e4) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e4) (e0)) = (e4)) ((op (e2) (e4)) = (e1)) ### Trans 606 609 % 46.88/47.09 611. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.09 612. ((op (op (e2) (e4)) (e1)) != (op (e1) (e1))) ((op (e2) (e4)) = (e1)) ### NotEqual 611 2 % 46.88/47.09 613. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.09 614. ((op (e2) (op (e4) (e1))) != (op (e2) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 4 613 % 46.88/47.09 615. ((e0) != (op (e2) (op (e4) (e1)))) ((op (e2) (e2)) = (e0)) ((op (e4) (e1)) = (e2)) ### Trans-sym 614 98 % 46.88/47.09 616. ((op (op (e2) (e4)) (e1)) != (op (e2) (op (e4) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e4) (e1)) = (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e4)) = (e1)) ### Trans 612 615 % 46.88/47.09 617. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.09 618. ((op (op (e2) (e4)) (e2)) != (op (e1) (e2))) ((op (e2) (e4)) = (e1)) ### NotEqual 617 4 % 46.88/47.09 619. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.09 620. ((op (e2) (op (e4) (e2))) != (op (e2) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 4 619 % 46.88/47.09 621. ((e3) != (op (e2) (op (e4) (e2)))) ((op (e2) (e5)) = (e3)) ((op (e4) (e2)) = (e5)) ### Trans-sym 620 114 % 46.88/47.09 622. ((op (op (e2) (e4)) (e2)) != (op (e2) (op (e4) (e2)))) ((op (e1) (e2)) = (e3)) ((op (e4) (e2)) = (e5)) ((op (e2) (e5)) = (e3)) ((op (e2) (e4)) = (e1)) ### Trans 618 621 % 46.88/47.09 623. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.09 624. ((op (op (e2) (e4)) (e3)) != (op (e1) (e3))) ((op (e2) (e4)) = (e1)) ### NotEqual 623 114 % 46.88/47.09 625. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.09 626. ((op (e2) (op (e4) (e3))) != (op (e2) (e0))) ((op (e4) (e3)) = (e0)) ### NotEqual 4 625 % 46.88/47.09 627. ((e2) != (op (e2) (op (e4) (e3)))) ((op (e2) (e0)) = (e2)) ((op (e4) (e3)) = (e0)) ### Trans-sym 626 4 % 46.88/47.09 628. ((op (op (e2) (e4)) (e3)) != (op (e2) (op (e4) (e3)))) ((op (e1) (e3)) = (e2)) ((op (e4) (e3)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e2) (e4)) = (e1)) ### Trans 624 627 % 46.88/47.09 629. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.09 630. ((op (op (e2) (e4)) (e4)) != (op (e1) (e4))) ((op (e2) (e4)) = (e1)) ### NotEqual 629 124 % 46.88/47.09 631. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.09 632. ((op (e2) (op (e4) (e4))) != (op (e2) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 4 631 % 46.88/47.09 633. ((e5) != (op (e2) (op (e4) (e4)))) ((op (e2) (e3)) = (e5)) ((op (e4) (e4)) = (e3)) ### Trans-sym 632 128 % 46.88/47.09 634. ((op (op (e2) (e4)) (e4)) != (op (e2) (op (e4) (e4)))) ((op (e1) (e4)) = (e5)) ((op (e4) (e4)) = (e3)) ((op (e2) (e3)) = (e5)) ((op (e2) (e4)) = (e1)) ### Trans 630 633 % 46.88/47.09 635. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.09 636. ((op (op (e2) (e4)) (e5)) != (op (e1) (e5))) ((op (e2) (e4)) = (e1)) ### NotEqual 635 128 % 46.88/47.09 637. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.09 638. ((op (e2) (op (e4) (e5))) != (op (e2) (e1))) ((op (e4) (e5)) = (e1)) ### NotEqual 4 637 % 46.88/47.09 639. ((e4) != (op (e2) (op (e4) (e5)))) ((op (e2) (e1)) = (e4)) ((op (e4) (e5)) = (e1)) ### Trans-sym 638 124 % 46.88/47.09 640. ((op (op (e2) (e4)) (e5)) != (op (e2) (op (e4) (e5)))) ((op (e1) (e5)) = (e4)) ((op (e4) (e5)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e2) (e4)) = (e1)) ### Trans 636 639 % 46.88/47.09 641. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.09 642. ((op (op (e2) (e5)) (e0)) != (op (e3) (e0))) ((op (e2) (e5)) = (e3)) ### NotEqual 641 98 % 46.88/47.09 643. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.09 644. ((op (e2) (op (e5) (e0))) != (op (e2) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 4 643 % 46.88/47.09 645. ((e3) != (op (e2) (op (e5) (e0)))) ((op (e2) (e5)) = (e3)) ((op (e5) (e0)) = (e5)) ### Trans-sym 644 114 % 46.88/47.09 646. ((op (op (e2) (e5)) (e0)) != (op (e2) (op (e5) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e5) (e0)) = (e5)) ((op (e2) (e5)) = (e3)) ### Trans 642 645 % 46.88/47.09 647. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.09 648. ((op (op (e2) (e5)) (e1)) != (op (e3) (e1))) ((op (e2) (e5)) = (e3)) ### NotEqual 647 2 % 46.88/47.09 649. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.09 650. ((op (e2) (op (e5) (e1))) != (op (e2) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 4 649 % 46.88/47.09 651. ((e5) != (op (e2) (op (e5) (e1)))) ((op (e2) (e3)) = (e5)) ((op (e5) (e1)) = (e3)) ### Trans-sym 650 128 % 46.88/47.09 652. ((op (op (e2) (e5)) (e1)) != (op (e2) (op (e5) (e1)))) ((op (e3) (e1)) = (e5)) ((op (e5) (e1)) = (e3)) ((op (e2) (e3)) = (e5)) ((op (e2) (e5)) = (e3)) ### Trans 648 651 % 46.88/47.09 653. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.09 654. ((op (op (e2) (e5)) (e2)) != (op (e3) (e2))) ((op (e2) (e5)) = (e3)) ### NotEqual 653 4 % 46.88/47.09 655. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.09 656. ((op (e2) (op (e5) (e2))) != (op (e2) (e4))) ((op (e5) (e2)) = (e4)) ### NotEqual 4 655 % 46.88/47.09 657. ((e1) != (op (e2) (op (e5) (e2)))) ((op (e2) (e4)) = (e1)) ((op (e5) (e2)) = (e4)) ### Trans-sym 656 2 % 46.88/47.09 658. ((op (op (e2) (e5)) (e2)) != (op (e2) (op (e5) (e2)))) ((op (e3) (e2)) = (e1)) ((op (e5) (e2)) = (e4)) ((op (e2) (e4)) = (e1)) ((op (e2) (e5)) = (e3)) ### Trans 654 657 % 46.88/47.09 659. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.09 660. ((op (op (e2) (e5)) (e3)) != (op (e3) (e3))) ((op (e2) (e5)) = (e3)) ### NotEqual 659 114 % 46.88/47.09 661. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.09 662. ((op (e2) (op (e5) (e3))) != (op (e2) (e1))) ((op (e5) (e3)) = (e1)) ### NotEqual 4 661 % 46.88/47.09 663. ((e4) != (op (e2) (op (e5) (e3)))) ((op (e2) (e1)) = (e4)) ((op (e5) (e3)) = (e1)) ### Trans-sym 662 124 % 46.88/47.09 664. ((op (op (e2) (e5)) (e3)) != (op (e2) (op (e5) (e3)))) ((op (e3) (e3)) = (e4)) ((op (e5) (e3)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e2) (e5)) = (e3)) ### Trans 660 663 % 46.88/47.09 665. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.09 666. ((op (op (e2) (e5)) (e4)) != (op (e3) (e4))) ((op (e2) (e5)) = (e3)) ### NotEqual 665 124 % 46.88/47.09 667. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.09 668. ((op (e2) (op (e5) (e4))) != (op (e2) (e2))) ((op (e5) (e4)) = (e2)) ### NotEqual 4 667 % 46.88/47.09 669. ((e0) != (op (e2) (op (e5) (e4)))) ((op (e2) (e2)) = (e0)) ((op (e5) (e4)) = (e2)) ### Trans-sym 668 98 % 46.88/47.09 670. ((op (op (e2) (e5)) (e4)) != (op (e2) (op (e5) (e4)))) ((op (e3) (e4)) = (e0)) ((op (e5) (e4)) = (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e5)) = (e3)) ### Trans 666 669 % 46.88/47.09 671. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.09 672. ((op (op (e2) (e5)) (e5)) != (op (e3) (e5))) ((op (e2) (e5)) = (e3)) ### NotEqual 671 128 % 46.88/47.09 673. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.09 674. ((op (e2) (op (e5) (e5))) != (op (e2) (e0))) ((op (e5) (e5)) = (e0)) ### NotEqual 4 673 % 46.88/47.09 675. ((e2) != (op (e2) (op (e5) (e5)))) ((op (e2) (e0)) = (e2)) ((op (e5) (e5)) = (e0)) ### Trans-sym 674 4 % 46.88/47.09 676. ((op (op (e2) (e5)) (e5)) != (op (e2) (op (e5) (e5)))) ((op (e3) (e5)) = (e2)) ((op (e5) (e5)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e2) (e5)) = (e3)) ### Trans 672 675 % 46.88/47.09 677. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.09 678. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 46.88/47.09 679. ((op (op (e3) (e0)) (e0)) != (op (e3) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) = (e3)) ### NotEqual 677 678 % 46.88/47.09 680. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.09 681. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 46.88/47.09 682. ((op (op (e3) (e0)) (e1)) != (op (e3) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e3) (e0)) = (e3)) ### NotEqual 680 681 % 46.88/47.09 683. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.09 684. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 46.88/47.09 685. ((op (op (e3) (e0)) (e2)) != (op (e3) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e3) (e0)) = (e3)) ### NotEqual 683 684 % 46.88/47.09 686. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.09 687. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 46.88/47.09 688. ((op (op (e3) (e0)) (e3)) != (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e3) (e0)) = (e3)) ### NotEqual 686 687 % 46.88/47.09 689. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.09 690. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 46.88/47.09 691. ((op (op (e3) (e0)) (e4)) != (op (e3) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e3) (e0)) = (e3)) ### NotEqual 689 690 % 46.88/47.09 692. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.09 693. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 46.88/47.09 694. ((op (op (e3) (e0)) (e5)) != (op (e3) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e3) (e0)) = (e3)) ### NotEqual 692 693 % 46.88/47.09 695. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.09 696. ((op (op (e3) (e1)) (e0)) != (op (e5) (e0))) ((op (e3) (e1)) = (e5)) ### NotEqual 695 98 % 46.88/47.09 697. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.09 698. ((op (e3) (op (e1) (e0))) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 114 697 % 46.88/47.09 699. ((e5) != (op (e3) (op (e1) (e0)))) ((op (e3) (e1)) = (e5)) ((op (e1) (e0)) = (e1)) ### Trans-sym 698 128 % 46.88/47.09 700. ((op (op (e3) (e1)) (e0)) != (op (e3) (op (e1) (e0)))) ((op (e5) (e0)) = (e5)) ((op (e1) (e0)) = (e1)) ((op (e3) (e1)) = (e5)) ### Trans 696 699 % 46.88/47.09 701. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.09 702. ((op (op (e3) (e1)) (e1)) != (op (e5) (e1))) ((op (e3) (e1)) = (e5)) ### NotEqual 701 2 % 46.88/47.09 703. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.09 704. ((op (e3) (op (e1) (e1))) != (op (e3) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 114 703 % 46.88/47.09 705. ((e3) != (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 704 114 % 46.88/47.09 706. ((op (op (e3) (e1)) (e1)) != (op (e3) (op (e1) (e1)))) ((op (e5) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e3) (e1)) = (e5)) ### Trans 702 705 % 46.88/47.09 707. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.09 708. ((op (op (e3) (e1)) (e2)) != (op (e5) (e2))) ((op (e3) (e1)) = (e5)) ### NotEqual 707 4 % 46.88/47.09 709. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.09 710. ((op (e3) (op (e1) (e2))) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 114 709 % 46.88/47.09 711. ((e4) != (op (e3) (op (e1) (e2)))) ((op (e3) (e3)) = (e4)) ((op (e1) (e2)) = (e3)) ### Trans-sym 710 124 % 46.88/47.09 712. ((op (op (e3) (e1)) (e2)) != (op (e3) (op (e1) (e2)))) ((op (e5) (e2)) = (e4)) ((op (e1) (e2)) = (e3)) ((op (e3) (e3)) = (e4)) ((op (e3) (e1)) = (e5)) ### Trans 708 711 % 46.88/47.09 713. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.09 714. ((op (op (e3) (e1)) (e3)) != (op (e5) (e3))) ((op (e3) (e1)) = (e5)) ### NotEqual 713 114 % 46.88/47.09 715. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.09 716. ((op (e3) (op (e1) (e3))) != (op (e3) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 114 715 % 46.88/47.09 717. ((e1) != (op (e3) (op (e1) (e3)))) ((op (e3) (e2)) = (e1)) ((op (e1) (e3)) = (e2)) ### Trans-sym 716 2 % 46.88/47.09 718. ((op (op (e3) (e1)) (e3)) != (op (e3) (op (e1) (e3)))) ((op (e5) (e3)) = (e1)) ((op (e1) (e3)) = (e2)) ((op (e3) (e2)) = (e1)) ((op (e3) (e1)) = (e5)) ### Trans 714 717 % 46.88/47.09 719. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.09 720. ((op (op (e3) (e1)) (e4)) != (op (e5) (e4))) ((op (e3) (e1)) = (e5)) ### NotEqual 719 124 % 46.88/47.09 721. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.09 722. ((op (e3) (op (e1) (e4))) != (op (e3) (e5))) ((op (e1) (e4)) = (e5)) ### NotEqual 114 721 % 46.88/47.09 723. ((e2) != (op (e3) (op (e1) (e4)))) ((op (e3) (e5)) = (e2)) ((op (e1) (e4)) = (e5)) ### Trans-sym 722 4 % 46.88/47.09 724. ((op (op (e3) (e1)) (e4)) != (op (e3) (op (e1) (e4)))) ((op (e5) (e4)) = (e2)) ((op (e1) (e4)) = (e5)) ((op (e3) (e5)) = (e2)) ((op (e3) (e1)) = (e5)) ### Trans 720 723 % 46.88/47.09 725. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.09 726. ((op (op (e3) (e1)) (e5)) != (op (e5) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 725 128 % 46.88/47.09 727. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.09 728. ((op (e3) (op (e1) (e5))) != (op (e3) (e4))) ((op (e1) (e5)) = (e4)) ### NotEqual 114 727 % 46.88/47.09 729. ((e0) != (op (e3) (op (e1) (e5)))) ((op (e3) (e4)) = (e0)) ((op (e1) (e5)) = (e4)) ### Trans-sym 728 98 % 46.88/47.09 730. ((op (op (e3) (e1)) (e5)) != (op (e3) (op (e1) (e5)))) ((op (e5) (e5)) = (e0)) ((op (e1) (e5)) = (e4)) ((op (e3) (e4)) = (e0)) ((op (e3) (e1)) = (e5)) ### Trans 726 729 % 46.88/47.09 731. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.09 732. ((op (op (e3) (e2)) (e0)) != (op (e1) (e0))) ((op (e3) (e2)) = (e1)) ### NotEqual 731 98 % 46.88/47.09 733. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.09 734. ((op (e3) (op (e2) (e0))) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 114 733 % 46.88/47.09 735. ((e1) != (op (e3) (op (e2) (e0)))) ((op (e3) (e2)) = (e1)) ((op (e2) (e0)) = (e2)) ### Trans-sym 734 2 % 46.88/47.09 736. ((op (op (e3) (e2)) (e0)) != (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) = (e2)) ((op (e3) (e2)) = (e1)) ### Trans 732 735 % 46.88/47.09 737. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.09 738. ((op (op (e3) (e2)) (e1)) != (op (e1) (e1))) ((op (e3) (e2)) = (e1)) ### NotEqual 737 2 % 46.88/47.09 739. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.09 740. ((op (e3) (op (e2) (e1))) != (op (e3) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 114 739 % 46.88/47.09 741. ((e0) != (op (e3) (op (e2) (e1)))) ((op (e3) (e4)) = (e0)) ((op (e2) (e1)) = (e4)) ### Trans-sym 740 98 % 46.88/47.09 742. ((op (op (e3) (e2)) (e1)) != (op (e3) (op (e2) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) = (e4)) ((op (e3) (e4)) = (e0)) ((op (e3) (e2)) = (e1)) ### Trans 738 741 % 46.88/47.09 743. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.09 744. ((op (op (e3) (e2)) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e1)) ### NotEqual 743 4 % 46.88/47.09 745. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.09 746. ((op (e3) (op (e2) (e2))) != (op (e3) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 114 745 % 46.88/47.09 747. ((e3) != (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) = (e3)) ((op (e2) (e2)) = (e0)) ### Trans-sym 746 114 % 46.88/47.09 748. ((op (op (e3) (e2)) (e2)) != (op (e3) (op (e2) (e2)))) ((op (e1) (e2)) = (e3)) ((op (e2) (e2)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e3) (e2)) = (e1)) ### Trans 744 747 % 46.88/47.09 749. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.09 750. ((op (op (e3) (e2)) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e1)) ### NotEqual 749 114 % 46.88/47.09 751. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.09 752. ((op (e3) (op (e2) (e3))) != (op (e3) (e5))) ((op (e2) (e3)) = (e5)) ### NotEqual 114 751 % 46.88/47.09 753. ((e2) != (op (e3) (op (e2) (e3)))) ((op (e3) (e5)) = (e2)) ((op (e2) (e3)) = (e5)) ### Trans-sym 752 4 % 46.88/47.09 754. ((op (op (e3) (e2)) (e3)) != (op (e3) (op (e2) (e3)))) ((op (e1) (e3)) = (e2)) ((op (e2) (e3)) = (e5)) ((op (e3) (e5)) = (e2)) ((op (e3) (e2)) = (e1)) ### Trans 750 753 % 46.88/47.09 755. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.09 756. ((op (op (e3) (e2)) (e4)) != (op (e1) (e4))) ((op (e3) (e2)) = (e1)) ### NotEqual 755 124 % 46.88/47.09 757. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.09 758. ((op (e3) (op (e2) (e4))) != (op (e3) (e1))) ((op (e2) (e4)) = (e1)) ### NotEqual 114 757 % 46.88/47.09 759. ((e5) != (op (e3) (op (e2) (e4)))) ((op (e3) (e1)) = (e5)) ((op (e2) (e4)) = (e1)) ### Trans-sym 758 128 % 46.88/47.09 760. ((op (op (e3) (e2)) (e4)) != (op (e3) (op (e2) (e4)))) ((op (e1) (e4)) = (e5)) ((op (e2) (e4)) = (e1)) ((op (e3) (e1)) = (e5)) ((op (e3) (e2)) = (e1)) ### Trans 756 759 % 46.88/47.09 761. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.09 762. ((op (op (e3) (e2)) (e5)) != (op (e1) (e5))) ((op (e3) (e2)) = (e1)) ### NotEqual 761 128 % 46.88/47.09 763. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.09 764. ((op (e3) (op (e2) (e5))) != (op (e3) (e3))) ((op (e2) (e5)) = (e3)) ### NotEqual 114 763 % 46.88/47.09 765. ((e4) != (op (e3) (op (e2) (e5)))) ((op (e3) (e3)) = (e4)) ((op (e2) (e5)) = (e3)) ### Trans-sym 764 124 % 46.88/47.09 766. ((op (op (e3) (e2)) (e5)) != (op (e3) (op (e2) (e5)))) ((op (e1) (e5)) = (e4)) ((op (e2) (e5)) = (e3)) ((op (e3) (e3)) = (e4)) ((op (e3) (e2)) = (e1)) ### Trans 762 765 % 46.88/47.09 767. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.09 768. ((op (op (e3) (e3)) (e0)) != (op (e4) (e0))) ((op (e3) (e3)) = (e4)) ### NotEqual 767 98 % 46.88/47.09 769. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.09 770. ((op (e3) (op (e3) (e0))) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 114 769 % 46.88/47.09 771. ((e4) != (op (e3) (op (e3) (e0)))) ((op (e3) (e3)) = (e4)) ((op (e3) (e0)) = (e3)) ### Trans-sym 770 124 % 46.88/47.09 772. ((op (op (e3) (e3)) (e0)) != (op (e3) (op (e3) (e0)))) ((op (e4) (e0)) = (e4)) ((op (e3) (e0)) = (e3)) ((op (e3) (e3)) = (e4)) ### Trans 768 771 % 46.88/47.09 773. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.09 774. ((op (op (e3) (e3)) (e1)) != (op (e4) (e1))) ((op (e3) (e3)) = (e4)) ### NotEqual 773 2 % 46.88/47.09 775. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.09 776. ((op (e3) (op (e3) (e1))) != (op (e3) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 114 775 % 46.88/47.09 777. ((e2) != (op (e3) (op (e3) (e1)))) ((op (e3) (e5)) = (e2)) ((op (e3) (e1)) = (e5)) ### Trans-sym 776 4 % 46.88/47.09 778. ((op (op (e3) (e3)) (e1)) != (op (e3) (op (e3) (e1)))) ((op (e4) (e1)) = (e2)) ((op (e3) (e1)) = (e5)) ((op (e3) (e5)) = (e2)) ((op (e3) (e3)) = (e4)) ### Trans 774 777 % 46.88/47.09 779. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.09 780. ((op (op (e3) (e3)) (e2)) != (op (e4) (e2))) ((op (e3) (e3)) = (e4)) ### NotEqual 779 4 % 46.88/47.09 781. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.09 782. ((op (e3) (op (e3) (e2))) != (op (e3) (e1))) ((op (e3) (e2)) = (e1)) ### NotEqual 114 781 % 46.88/47.09 783. ((e5) != (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) = (e5)) ((op (e3) (e2)) = (e1)) ### Trans-sym 782 128 % 46.88/47.09 784. ((op (op (e3) (e3)) (e2)) != (op (e3) (op (e3) (e2)))) ((op (e4) (e2)) = (e5)) ((op (e3) (e2)) = (e1)) ((op (e3) (e1)) = (e5)) ((op (e3) (e3)) = (e4)) ### Trans 780 783 % 46.88/47.09 785. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.09 786. ((op (op (e3) (e3)) (e3)) != (op (e4) (e3))) ((op (e3) (e3)) = (e4)) ### NotEqual 785 114 % 46.88/47.09 787. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.09 788. ((op (e3) (op (e3) (e3))) != (op (e3) (e4))) ((op (e3) (e3)) = (e4)) ### NotEqual 114 787 % 46.88/47.09 789. ((e0) != (op (e3) (op (e3) (e3)))) ((op (e3) (e4)) = (e0)) ((op (e3) (e3)) = (e4)) ### Trans-sym 788 98 % 46.88/47.09 790. ((op (op (e3) (e3)) (e3)) != (op (e3) (op (e3) (e3)))) ((op (e4) (e3)) = (e0)) ((op (e3) (e4)) = (e0)) ((op (e3) (e3)) = (e4)) ### Trans 786 789 % 46.88/47.09 791. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.09 792. ((op (op (e3) (e3)) (e4)) != (op (e4) (e4))) ((op (e3) (e3)) = (e4)) ### NotEqual 791 124 % 46.88/47.09 793. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.09 794. ((op (e3) (op (e3) (e4))) != (op (e3) (e0))) ((op (e3) (e4)) = (e0)) ### NotEqual 114 793 % 46.88/47.09 795. ((e3) != (op (e3) (op (e3) (e4)))) ((op (e3) (e0)) = (e3)) ((op (e3) (e4)) = (e0)) ### Trans-sym 794 114 % 46.88/47.09 796. ((op (op (e3) (e3)) (e4)) != (op (e3) (op (e3) (e4)))) ((op (e4) (e4)) = (e3)) ((op (e3) (e4)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e3) (e3)) = (e4)) ### Trans 792 795 % 46.88/47.09 797. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.09 798. ((op (op (e3) (e3)) (e5)) != (op (e4) (e5))) ((op (e3) (e3)) = (e4)) ### NotEqual 797 128 % 46.88/47.09 799. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.09 800. ((op (e3) (op (e3) (e5))) != (op (e3) (e2))) ((op (e3) (e5)) = (e2)) ### NotEqual 114 799 % 46.88/47.09 801. ((e1) != (op (e3) (op (e3) (e5)))) ((op (e3) (e2)) = (e1)) ((op (e3) (e5)) = (e2)) ### Trans-sym 800 2 % 46.88/47.09 802. ((op (op (e3) (e3)) (e5)) != (op (e3) (op (e3) (e5)))) ((op (e4) (e5)) = (e1)) ((op (e3) (e5)) = (e2)) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e4)) ### Trans 798 801 % 46.88/47.09 803. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.09 804. ((op (op (e3) (e4)) (e0)) != (op (e0) (e0))) ((op (e3) (e4)) = (e0)) ### NotEqual 803 98 % 46.88/47.09 805. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.09 806. ((op (e3) (op (e4) (e0))) != (op (e3) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 114 805 % 46.88/47.09 807. ((e0) != (op (e3) (op (e4) (e0)))) ((op (e3) (e4)) = (e0)) ((op (e4) (e0)) = (e4)) ### Trans-sym 806 98 % 46.88/47.09 808. ((op (op (e3) (e4)) (e0)) != (op (e3) (op (e4) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e3) (e4)) = (e0)) ### Trans 804 807 % 46.88/47.09 809. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.09 810. ((op (op (e3) (e4)) (e1)) != (op (e0) (e1))) ((op (e3) (e4)) = (e0)) ### NotEqual 809 2 % 46.88/47.09 811. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.09 812. ((op (e3) (op (e4) (e1))) != (op (e3) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 114 811 % 46.88/47.09 813. ((e1) != (op (e3) (op (e4) (e1)))) ((op (e3) (e2)) = (e1)) ((op (e4) (e1)) = (e2)) ### Trans-sym 812 2 % 46.88/47.09 814. ((op (op (e3) (e4)) (e1)) != (op (e3) (op (e4) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e3) (e2)) = (e1)) ((op (e3) (e4)) = (e0)) ### Trans 810 813 % 46.88/47.09 815. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.09 816. ((op (op (e3) (e4)) (e2)) != (op (e0) (e2))) ((op (e3) (e4)) = (e0)) ### NotEqual 815 4 % 46.88/47.09 817. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.09 818. ((op (e3) (op (e4) (e2))) != (op (e3) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 114 817 % 46.88/47.09 819. ((e2) != (op (e3) (op (e4) (e2)))) ((op (e3) (e5)) = (e2)) ((op (e4) (e2)) = (e5)) ### Trans-sym 818 4 % 46.88/47.09 820. ((op (op (e3) (e4)) (e2)) != (op (e3) (op (e4) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e4) (e2)) = (e5)) ((op (e3) (e5)) = (e2)) ((op (e3) (e4)) = (e0)) ### Trans 816 819 % 46.88/47.09 821. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.09 822. ((op (op (e3) (e4)) (e3)) != (op (e0) (e3))) ((op (e3) (e4)) = (e0)) ### NotEqual 821 114 % 46.88/47.09 823. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.09 824. ((op (e3) (op (e4) (e3))) != (op (e3) (e0))) ((op (e4) (e3)) = (e0)) ### NotEqual 114 823 % 46.88/47.09 825. ((e3) != (op (e3) (op (e4) (e3)))) ((op (e3) (e0)) = (e3)) ((op (e4) (e3)) = (e0)) ### Trans-sym 824 114 % 46.88/47.09 826. ((op (op (e3) (e4)) (e3)) != (op (e3) (op (e4) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e4) (e3)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e3) (e4)) = (e0)) ### Trans 822 825 % 46.88/47.09 827. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.09 828. ((op (op (e3) (e4)) (e4)) != (op (e0) (e4))) ((op (e3) (e4)) = (e0)) ### NotEqual 827 124 % 46.88/47.09 829. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.09 830. ((op (e3) (op (e4) (e4))) != (op (e3) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 114 829 % 46.88/47.09 831. ((e4) != (op (e3) (op (e4) (e4)))) ((op (e3) (e3)) = (e4)) ((op (e4) (e4)) = (e3)) ### Trans-sym 830 124 % 46.88/47.09 832. ((op (op (e3) (e4)) (e4)) != (op (e3) (op (e4) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e4) (e4)) = (e3)) ((op (e3) (e3)) = (e4)) ((op (e3) (e4)) = (e0)) ### Trans 828 831 % 46.88/47.09 833. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.09 834. ((op (op (e3) (e4)) (e5)) != (op (e0) (e5))) ((op (e3) (e4)) = (e0)) ### NotEqual 833 128 % 46.88/47.09 835. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.09 836. ((op (e3) (op (e4) (e5))) != (op (e3) (e1))) ((op (e4) (e5)) = (e1)) ### NotEqual 114 835 % 46.88/47.09 837. ((e5) != (op (e3) (op (e4) (e5)))) ((op (e3) (e1)) = (e5)) ((op (e4) (e5)) = (e1)) ### Trans-sym 836 128 % 46.88/47.09 838. ((op (op (e3) (e4)) (e5)) != (op (e3) (op (e4) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e4) (e5)) = (e1)) ((op (e3) (e1)) = (e5)) ((op (e3) (e4)) = (e0)) ### Trans 834 837 % 46.88/47.09 839. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.09 840. ((op (op (e3) (e5)) (e0)) != (op (e2) (e0))) ((op (e3) (e5)) = (e2)) ### NotEqual 839 98 % 46.88/47.09 841. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.09 842. ((op (e3) (op (e5) (e0))) != (op (e3) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 114 841 % 46.88/47.09 843. ((e2) != (op (e3) (op (e5) (e0)))) ((op (e3) (e5)) = (e2)) ((op (e5) (e0)) = (e5)) ### Trans-sym 842 4 % 46.88/47.09 844. ((op (op (e3) (e5)) (e0)) != (op (e3) (op (e5) (e0)))) ((op (e2) (e0)) = (e2)) ((op (e5) (e0)) = (e5)) ((op (e3) (e5)) = (e2)) ### Trans 840 843 % 46.88/47.09 845. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.09 846. ((op (op (e3) (e5)) (e1)) != (op (e2) (e1))) ((op (e3) (e5)) = (e2)) ### NotEqual 845 2 % 46.88/47.09 847. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.09 848. ((op (e3) (op (e5) (e1))) != (op (e3) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 114 847 % 46.88/47.09 849. ((e4) != (op (e3) (op (e5) (e1)))) ((op (e3) (e3)) = (e4)) ((op (e5) (e1)) = (e3)) ### Trans-sym 848 124 % 46.88/47.09 850. ((op (op (e3) (e5)) (e1)) != (op (e3) (op (e5) (e1)))) ((op (e2) (e1)) = (e4)) ((op (e5) (e1)) = (e3)) ((op (e3) (e3)) = (e4)) ((op (e3) (e5)) = (e2)) ### Trans 846 849 % 46.88/47.09 851. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.09 852. ((op (op (e3) (e5)) (e2)) != (op (e2) (e2))) ((op (e3) (e5)) = (e2)) ### NotEqual 851 4 % 46.88/47.09 853. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.09 854. ((op (e3) (op (e5) (e2))) != (op (e3) (e4))) ((op (e5) (e2)) = (e4)) ### NotEqual 114 853 % 46.88/47.09 855. ((e0) != (op (e3) (op (e5) (e2)))) ((op (e3) (e4)) = (e0)) ((op (e5) (e2)) = (e4)) ### Trans-sym 854 98 % 46.88/47.09 856. ((op (op (e3) (e5)) (e2)) != (op (e3) (op (e5) (e2)))) ((op (e2) (e2)) = (e0)) ((op (e5) (e2)) = (e4)) ((op (e3) (e4)) = (e0)) ((op (e3) (e5)) = (e2)) ### Trans 852 855 % 46.88/47.09 857. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.09 858. ((op (op (e3) (e5)) (e3)) != (op (e2) (e3))) ((op (e3) (e5)) = (e2)) ### NotEqual 857 114 % 46.88/47.09 859. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.09 860. ((op (e3) (op (e5) (e3))) != (op (e3) (e1))) ((op (e5) (e3)) = (e1)) ### NotEqual 114 859 % 46.88/47.09 861. ((e5) != (op (e3) (op (e5) (e3)))) ((op (e3) (e1)) = (e5)) ((op (e5) (e3)) = (e1)) ### Trans-sym 860 128 % 46.88/47.09 862. ((op (op (e3) (e5)) (e3)) != (op (e3) (op (e5) (e3)))) ((op (e2) (e3)) = (e5)) ((op (e5) (e3)) = (e1)) ((op (e3) (e1)) = (e5)) ((op (e3) (e5)) = (e2)) ### Trans 858 861 % 46.88/47.09 863. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.09 864. ((op (op (e3) (e5)) (e4)) != (op (e2) (e4))) ((op (e3) (e5)) = (e2)) ### NotEqual 863 124 % 46.88/47.09 865. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.09 866. ((op (e3) (op (e5) (e4))) != (op (e3) (e2))) ((op (e5) (e4)) = (e2)) ### NotEqual 114 865 % 46.88/47.09 867. ((e1) != (op (e3) (op (e5) (e4)))) ((op (e3) (e2)) = (e1)) ((op (e5) (e4)) = (e2)) ### Trans-sym 866 2 % 46.88/47.09 868. ((op (op (e3) (e5)) (e4)) != (op (e3) (op (e5) (e4)))) ((op (e2) (e4)) = (e1)) ((op (e5) (e4)) = (e2)) ((op (e3) (e2)) = (e1)) ((op (e3) (e5)) = (e2)) ### Trans 864 867 % 46.88/47.09 869. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.09 870. ((op (op (e3) (e5)) (e5)) != (op (e2) (e5))) ((op (e3) (e5)) = (e2)) ### NotEqual 869 128 % 46.88/47.09 871. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.09 872. ((op (e3) (op (e5) (e5))) != (op (e3) (e0))) ((op (e5) (e5)) = (e0)) ### NotEqual 114 871 % 46.88/47.09 873. ((e3) != (op (e3) (op (e5) (e5)))) ((op (e3) (e0)) = (e3)) ((op (e5) (e5)) = (e0)) ### Trans-sym 872 114 % 46.88/47.09 874. ((op (op (e3) (e5)) (e5)) != (op (e3) (op (e5) (e5)))) ((op (e2) (e5)) = (e3)) ((op (e5) (e5)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e3) (e5)) = (e2)) ### Trans 870 873 % 46.88/47.09 875. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.09 876. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 46.88/47.09 877. ((op (op (e4) (e0)) (e0)) != (op (e4) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e4) (e0)) = (e4)) ### NotEqual 875 876 % 46.88/47.09 878. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.09 879. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 46.88/47.09 880. ((op (op (e4) (e0)) (e1)) != (op (e4) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e4) (e0)) = (e4)) ### NotEqual 878 879 % 46.88/47.09 881. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.09 882. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 46.88/47.09 883. ((op (op (e4) (e0)) (e2)) != (op (e4) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e4) (e0)) = (e4)) ### NotEqual 881 882 % 46.88/47.09 884. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.09 885. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 46.88/47.09 886. ((op (op (e4) (e0)) (e3)) != (op (e4) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e4) (e0)) = (e4)) ### NotEqual 884 885 % 46.88/47.09 887. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.09 888. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 46.88/47.09 889. ((op (op (e4) (e0)) (e4)) != (op (e4) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e4) (e0)) = (e4)) ### NotEqual 887 888 % 46.88/47.09 890. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.09 891. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 46.88/47.09 892. ((op (op (e4) (e0)) (e5)) != (op (e4) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e4) (e0)) = (e4)) ### NotEqual 890 891 % 46.88/47.09 893. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.09 894. ((op (op (e4) (e1)) (e0)) != (op (e2) (e0))) ((op (e4) (e1)) = (e2)) ### NotEqual 893 98 % 46.88/47.09 895. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.09 896. ((op (e4) (op (e1) (e0))) != (op (e4) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 124 895 % 46.88/47.09 897. ((e2) != (op (e4) (op (e1) (e0)))) ((op (e4) (e1)) = (e2)) ((op (e1) (e0)) = (e1)) ### Trans-sym 896 4 % 46.88/47.09 898. ((op (op (e4) (e1)) (e0)) != (op (e4) (op (e1) (e0)))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) = (e1)) ((op (e4) (e1)) = (e2)) ### Trans 894 897 % 46.88/47.09 899. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.09 900. ((op (op (e4) (e1)) (e1)) != (op (e2) (e1))) ((op (e4) (e1)) = (e2)) ### NotEqual 899 2 % 46.88/47.09 901. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.09 902. ((op (e4) (op (e1) (e1))) != (op (e4) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 124 901 % 46.88/47.09 903. ((e4) != (op (e4) (op (e1) (e1)))) ((op (e4) (e0)) = (e4)) ((op (e1) (e1)) = (e0)) ### Trans-sym 902 124 % 46.88/47.09 904. ((op (op (e4) (e1)) (e1)) != (op (e4) (op (e1) (e1)))) ((op (e2) (e1)) = (e4)) ((op (e1) (e1)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e1)) = (e2)) ### Trans 900 903 % 46.88/47.09 905. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.09 906. ((op (op (e4) (e1)) (e2)) != (op (e2) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 905 4 % 46.88/47.09 907. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.09 908. ((op (e4) (op (e1) (e2))) != (op (e4) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 124 907 % 46.88/47.09 909. ((e0) != (op (e4) (op (e1) (e2)))) ((op (e4) (e3)) = (e0)) ((op (e1) (e2)) = (e3)) ### Trans-sym 908 98 % 46.88/47.09 910. ((op (op (e4) (e1)) (e2)) != (op (e4) (op (e1) (e2)))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) ((op (e4) (e3)) = (e0)) ((op (e4) (e1)) = (e2)) ### Trans 906 909 % 46.88/47.09 911. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.09 912. ((op (op (e4) (e1)) (e3)) != (op (e2) (e3))) ((op (e4) (e1)) = (e2)) ### NotEqual 911 114 % 46.88/47.09 913. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.09 914. ((op (e4) (op (e1) (e3))) != (op (e4) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 124 913 % 46.88/47.09 915. ((e5) != (op (e4) (op (e1) (e3)))) ((op (e4) (e2)) = (e5)) ((op (e1) (e3)) = (e2)) ### Trans-sym 914 128 % 46.88/47.09 916. ((op (op (e4) (e1)) (e3)) != (op (e4) (op (e1) (e3)))) ((op (e2) (e3)) = (e5)) ((op (e1) (e3)) = (e2)) ((op (e4) (e2)) = (e5)) ((op (e4) (e1)) = (e2)) ### Trans 912 915 % 46.88/47.09 917. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.09 918. ((op (op (e4) (e1)) (e4)) != (op (e2) (e4))) ((op (e4) (e1)) = (e2)) ### NotEqual 917 124 % 46.88/47.09 919. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.09 920. ((op (e4) (op (e1) (e4))) != (op (e4) (e5))) ((op (e1) (e4)) = (e5)) ### NotEqual 124 919 % 46.88/47.09 921. ((e1) != (op (e4) (op (e1) (e4)))) ((op (e4) (e5)) = (e1)) ((op (e1) (e4)) = (e5)) ### Trans-sym 920 2 % 46.88/47.09 922. ((op (op (e4) (e1)) (e4)) != (op (e4) (op (e1) (e4)))) ((op (e2) (e4)) = (e1)) ((op (e1) (e4)) = (e5)) ((op (e4) (e5)) = (e1)) ((op (e4) (e1)) = (e2)) ### Trans 918 921 % 46.88/47.09 923. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.09 924. ((op (op (e4) (e1)) (e5)) != (op (e2) (e5))) ((op (e4) (e1)) = (e2)) ### NotEqual 923 128 % 46.88/47.09 925. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.09 926. ((op (e4) (op (e1) (e5))) != (op (e4) (e4))) ((op (e1) (e5)) = (e4)) ### NotEqual 124 925 % 46.88/47.09 927. ((e3) != (op (e4) (op (e1) (e5)))) ((op (e4) (e4)) = (e3)) ((op (e1) (e5)) = (e4)) ### Trans-sym 926 114 % 46.88/47.09 928. ((op (op (e4) (e1)) (e5)) != (op (e4) (op (e1) (e5)))) ((op (e2) (e5)) = (e3)) ((op (e1) (e5)) = (e4)) ((op (e4) (e4)) = (e3)) ((op (e4) (e1)) = (e2)) ### Trans 924 927 % 46.88/47.09 929. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.09 930. ((op (op (e4) (e2)) (e0)) != (op (e5) (e0))) ((op (e4) (e2)) = (e5)) ### NotEqual 929 98 % 46.88/47.09 931. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.09 932. ((op (e4) (op (e2) (e0))) != (op (e4) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 124 931 % 46.88/47.09 933. ((e5) != (op (e4) (op (e2) (e0)))) ((op (e4) (e2)) = (e5)) ((op (e2) (e0)) = (e2)) ### Trans-sym 932 128 % 46.88/47.09 934. ((op (op (e4) (e2)) (e0)) != (op (e4) (op (e2) (e0)))) ((op (e5) (e0)) = (e5)) ((op (e2) (e0)) = (e2)) ((op (e4) (e2)) = (e5)) ### Trans 930 933 % 46.88/47.09 935. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.09 936. ((op (op (e4) (e2)) (e1)) != (op (e5) (e1))) ((op (e4) (e2)) = (e5)) ### NotEqual 935 2 % 46.88/47.09 937. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.09 938. ((op (e4) (op (e2) (e1))) != (op (e4) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 124 937 % 46.88/47.09 939. ((e3) != (op (e4) (op (e2) (e1)))) ((op (e4) (e4)) = (e3)) ((op (e2) (e1)) = (e4)) ### Trans-sym 938 114 % 46.88/47.09 940. ((op (op (e4) (e2)) (e1)) != (op (e4) (op (e2) (e1)))) ((op (e5) (e1)) = (e3)) ((op (e2) (e1)) = (e4)) ((op (e4) (e4)) = (e3)) ((op (e4) (e2)) = (e5)) ### Trans 936 939 % 46.88/47.09 941. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.09 942. ((op (op (e4) (e2)) (e2)) != (op (e5) (e2))) ((op (e4) (e2)) = (e5)) ### NotEqual 941 4 % 46.88/47.09 943. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.09 944. ((op (e4) (op (e2) (e2))) != (op (e4) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 124 943 % 46.88/47.09 945. ((e4) != (op (e4) (op (e2) (e2)))) ((op (e4) (e0)) = (e4)) ((op (e2) (e2)) = (e0)) ### Trans-sym 944 124 % 46.88/47.09 946. ((op (op (e4) (e2)) (e2)) != (op (e4) (op (e2) (e2)))) ((op (e5) (e2)) = (e4)) ((op (e2) (e2)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e2)) = (e5)) ### Trans 942 945 % 46.88/47.09 947. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.09 948. ((op (op (e4) (e2)) (e3)) != (op (e5) (e3))) ((op (e4) (e2)) = (e5)) ### NotEqual 947 114 % 46.88/47.09 949. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.09 950. ((op (e4) (op (e2) (e3))) != (op (e4) (e5))) ((op (e2) (e3)) = (e5)) ### NotEqual 124 949 % 46.88/47.09 951. ((e1) != (op (e4) (op (e2) (e3)))) ((op (e4) (e5)) = (e1)) ((op (e2) (e3)) = (e5)) ### Trans-sym 950 2 % 46.88/47.09 952. ((op (op (e4) (e2)) (e3)) != (op (e4) (op (e2) (e3)))) ((op (e5) (e3)) = (e1)) ((op (e2) (e3)) = (e5)) ((op (e4) (e5)) = (e1)) ((op (e4) (e2)) = (e5)) ### Trans 948 951 % 46.88/47.09 953. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.09 954. ((op (op (e4) (e2)) (e4)) != (op (e5) (e4))) ((op (e4) (e2)) = (e5)) ### NotEqual 953 124 % 46.88/47.09 955. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.09 956. ((op (e4) (op (e2) (e4))) != (op (e4) (e1))) ((op (e2) (e4)) = (e1)) ### NotEqual 124 955 % 46.88/47.09 957. ((e2) != (op (e4) (op (e2) (e4)))) ((op (e4) (e1)) = (e2)) ((op (e2) (e4)) = (e1)) ### Trans-sym 956 4 % 46.88/47.09 958. ((op (op (e4) (e2)) (e4)) != (op (e4) (op (e2) (e4)))) ((op (e5) (e4)) = (e2)) ((op (e2) (e4)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e4) (e2)) = (e5)) ### Trans 954 957 % 46.88/47.09 959. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.09 960. ((op (op (e4) (e2)) (e5)) != (op (e5) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 959 128 % 46.88/47.09 961. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.09 962. ((op (e4) (op (e2) (e5))) != (op (e4) (e3))) ((op (e2) (e5)) = (e3)) ### NotEqual 124 961 % 46.88/47.09 963. ((e0) != (op (e4) (op (e2) (e5)))) ((op (e4) (e3)) = (e0)) ((op (e2) (e5)) = (e3)) ### Trans-sym 962 98 % 46.88/47.09 964. ((op (op (e4) (e2)) (e5)) != (op (e4) (op (e2) (e5)))) ((op (e5) (e5)) = (e0)) ((op (e2) (e5)) = (e3)) ((op (e4) (e3)) = (e0)) ((op (e4) (e2)) = (e5)) ### Trans 960 963 % 46.88/47.09 965. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.09 966. ((op (op (e4) (e3)) (e0)) != (op (e0) (e0))) ((op (e4) (e3)) = (e0)) ### NotEqual 965 98 % 46.88/47.09 967. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.09 968. ((op (e4) (op (e3) (e0))) != (op (e4) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 124 967 % 46.88/47.09 969. ((e0) != (op (e4) (op (e3) (e0)))) ((op (e4) (e3)) = (e0)) ((op (e3) (e0)) = (e3)) ### Trans-sym 968 98 % 46.88/47.09 970. ((op (op (e4) (e3)) (e0)) != (op (e4) (op (e3) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e4) (e3)) = (e0)) ### Trans 966 969 % 46.88/47.09 971. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.09 972. ((op (op (e4) (e3)) (e1)) != (op (e0) (e1))) ((op (e4) (e3)) = (e0)) ### NotEqual 971 2 % 46.88/47.09 973. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.09 974. ((op (e4) (op (e3) (e1))) != (op (e4) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 124 973 % 46.88/47.09 975. ((e1) != (op (e4) (op (e3) (e1)))) ((op (e4) (e5)) = (e1)) ((op (e3) (e1)) = (e5)) ### Trans-sym 974 2 % 46.88/47.09 976. ((op (op (e4) (e3)) (e1)) != (op (e4) (op (e3) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) = (e5)) ((op (e4) (e5)) = (e1)) ((op (e4) (e3)) = (e0)) ### Trans 972 975 % 46.88/47.09 977. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.09 978. ((op (op (e4) (e3)) (e2)) != (op (e0) (e2))) ((op (e4) (e3)) = (e0)) ### NotEqual 977 4 % 46.88/47.09 979. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.09 980. ((op (e4) (op (e3) (e2))) != (op (e4) (e1))) ((op (e3) (e2)) = (e1)) ### NotEqual 124 979 % 46.88/47.09 981. ((e2) != (op (e4) (op (e3) (e2)))) ((op (e4) (e1)) = (e2)) ((op (e3) (e2)) = (e1)) ### Trans-sym 980 4 % 46.88/47.09 982. ((op (op (e4) (e3)) (e2)) != (op (e4) (op (e3) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e3) (e2)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e4) (e3)) = (e0)) ### Trans 978 981 % 46.88/47.09 983. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.09 984. ((op (op (e4) (e3)) (e3)) != (op (e0) (e3))) ((op (e4) (e3)) = (e0)) ### NotEqual 983 114 % 46.88/47.09 985. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.09 986. ((op (e4) (op (e3) (e3))) != (op (e4) (e4))) ((op (e3) (e3)) = (e4)) ### NotEqual 124 985 % 46.88/47.09 987. ((e3) != (op (e4) (op (e3) (e3)))) ((op (e4) (e4)) = (e3)) ((op (e3) (e3)) = (e4)) ### Trans-sym 986 114 % 46.88/47.09 988. ((op (op (e4) (e3)) (e3)) != (op (e4) (op (e3) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e3) (e3)) = (e4)) ((op (e4) (e4)) = (e3)) ((op (e4) (e3)) = (e0)) ### Trans 984 987 % 46.88/47.09 989. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.09 990. ((op (op (e4) (e3)) (e4)) != (op (e0) (e4))) ((op (e4) (e3)) = (e0)) ### NotEqual 989 124 % 46.88/47.09 991. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.09 992. ((op (e4) (op (e3) (e4))) != (op (e4) (e0))) ((op (e3) (e4)) = (e0)) ### NotEqual 124 991 % 46.88/47.09 993. ((e4) != (op (e4) (op (e3) (e4)))) ((op (e4) (e0)) = (e4)) ((op (e3) (e4)) = (e0)) ### Trans-sym 992 124 % 46.88/47.09 994. ((op (op (e4) (e3)) (e4)) != (op (e4) (op (e3) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e3) (e4)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e3)) = (e0)) ### Trans 990 993 % 46.88/47.09 995. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.09 996. ((op (op (e4) (e3)) (e5)) != (op (e0) (e5))) ((op (e4) (e3)) = (e0)) ### NotEqual 995 128 % 46.88/47.09 997. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.09 998. ((op (e4) (op (e3) (e5))) != (op (e4) (e2))) ((op (e3) (e5)) = (e2)) ### NotEqual 124 997 % 46.88/47.09 999. ((e5) != (op (e4) (op (e3) (e5)))) ((op (e4) (e2)) = (e5)) ((op (e3) (e5)) = (e2)) ### Trans-sym 998 128 % 46.88/47.09 1000. ((op (op (e4) (e3)) (e5)) != (op (e4) (op (e3) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e3) (e5)) = (e2)) ((op (e4) (e2)) = (e5)) ((op (e4) (e3)) = (e0)) ### Trans 996 999 % 46.88/47.09 1001. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.09 1002. ((op (op (e4) (e4)) (e0)) != (op (e3) (e0))) ((op (e4) (e4)) = (e3)) ### NotEqual 1001 98 % 46.88/47.09 1003. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.09 1004. ((op (e4) (op (e4) (e0))) != (op (e4) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 124 1003 % 46.88/47.09 1005. ((e3) != (op (e4) (op (e4) (e0)))) ((op (e4) (e4)) = (e3)) ((op (e4) (e0)) = (e4)) ### Trans-sym 1004 114 % 46.88/47.09 1006. ((op (op (e4) (e4)) (e0)) != (op (e4) (op (e4) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e4) (e0)) = (e4)) ((op (e4) (e4)) = (e3)) ### Trans 1002 1005 % 46.88/47.09 1007. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.09 1008. ((op (op (e4) (e4)) (e1)) != (op (e3) (e1))) ((op (e4) (e4)) = (e3)) ### NotEqual 1007 2 % 46.88/47.09 1009. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.09 1010. ((op (e4) (op (e4) (e1))) != (op (e4) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 124 1009 % 46.88/47.09 1011. ((e5) != (op (e4) (op (e4) (e1)))) ((op (e4) (e2)) = (e5)) ((op (e4) (e1)) = (e2)) ### Trans-sym 1010 128 % 46.88/47.09 1012. ((op (op (e4) (e4)) (e1)) != (op (e4) (op (e4) (e1)))) ((op (e3) (e1)) = (e5)) ((op (e4) (e1)) = (e2)) ((op (e4) (e2)) = (e5)) ((op (e4) (e4)) = (e3)) ### Trans 1008 1011 % 46.88/47.09 1013. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.09 1014. ((op (op (e4) (e4)) (e2)) != (op (e3) (e2))) ((op (e4) (e4)) = (e3)) ### NotEqual 1013 4 % 46.88/47.09 1015. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.09 1016. ((op (e4) (op (e4) (e2))) != (op (e4) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 124 1015 % 46.88/47.09 1017. ((e1) != (op (e4) (op (e4) (e2)))) ((op (e4) (e5)) = (e1)) ((op (e4) (e2)) = (e5)) ### Trans-sym 1016 2 % 46.88/47.09 1018. ((op (op (e4) (e4)) (e2)) != (op (e4) (op (e4) (e2)))) ((op (e3) (e2)) = (e1)) ((op (e4) (e2)) = (e5)) ((op (e4) (e5)) = (e1)) ((op (e4) (e4)) = (e3)) ### Trans 1014 1017 % 46.88/47.09 1019. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.09 1020. ((op (op (e4) (e4)) (e3)) != (op (e3) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 1019 114 % 46.88/47.09 1021. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.09 1022. ((op (e4) (op (e4) (e3))) != (op (e4) (e0))) ((op (e4) (e3)) = (e0)) ### NotEqual 124 1021 % 46.88/47.09 1023. ((e4) != (op (e4) (op (e4) (e3)))) ((op (e4) (e0)) = (e4)) ((op (e4) (e3)) = (e0)) ### Trans-sym 1022 124 % 46.88/47.09 1024. ((op (op (e4) (e4)) (e3)) != (op (e4) (op (e4) (e3)))) ((op (e3) (e3)) = (e4)) ((op (e4) (e3)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e4)) = (e3)) ### Trans 1020 1023 % 46.88/47.09 1025. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.09 1026. ((op (op (e4) (e4)) (e4)) != (op (e3) (e4))) ((op (e4) (e4)) = (e3)) ### NotEqual 1025 124 % 46.88/47.09 1027. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.09 1028. ((op (e4) (op (e4) (e4))) != (op (e4) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 124 1027 % 46.88/47.09 1029. ((e0) != (op (e4) (op (e4) (e4)))) ((op (e4) (e3)) = (e0)) ((op (e4) (e4)) = (e3)) ### Trans-sym 1028 98 % 46.88/47.09 1030. ((op (op (e4) (e4)) (e4)) != (op (e4) (op (e4) (e4)))) ((op (e3) (e4)) = (e0)) ((op (e4) (e3)) = (e0)) ((op (e4) (e4)) = (e3)) ### Trans 1026 1029 % 46.88/47.09 1031. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.09 1032. ((op (op (e4) (e4)) (e5)) != (op (e3) (e5))) ((op (e4) (e4)) = (e3)) ### NotEqual 1031 128 % 46.88/47.09 1033. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.09 1034. ((op (e4) (op (e4) (e5))) != (op (e4) (e1))) ((op (e4) (e5)) = (e1)) ### NotEqual 124 1033 % 46.88/47.09 1035. ((e2) != (op (e4) (op (e4) (e5)))) ((op (e4) (e1)) = (e2)) ((op (e4) (e5)) = (e1)) ### Trans-sym 1034 4 % 46.88/47.09 1036. ((op (op (e4) (e4)) (e5)) != (op (e4) (op (e4) (e5)))) ((op (e3) (e5)) = (e2)) ((op (e4) (e5)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e4) (e4)) = (e3)) ### Trans 1032 1035 % 46.88/47.09 1037. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.09 1038. ((op (op (e4) (e5)) (e0)) != (op (e1) (e0))) ((op (e4) (e5)) = (e1)) ### NotEqual 1037 98 % 46.88/47.09 1039. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.09 1040. ((op (e4) (op (e5) (e0))) != (op (e4) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 124 1039 % 46.88/47.09 1041. ((e1) != (op (e4) (op (e5) (e0)))) ((op (e4) (e5)) = (e1)) ((op (e5) (e0)) = (e5)) ### Trans-sym 1040 2 % 46.88/47.09 1042. ((op (op (e4) (e5)) (e0)) != (op (e4) (op (e5) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e5) (e0)) = (e5)) ((op (e4) (e5)) = (e1)) ### Trans 1038 1041 % 46.88/47.09 1043. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.09 1044. ((op (op (e4) (e5)) (e1)) != (op (e1) (e1))) ((op (e4) (e5)) = (e1)) ### NotEqual 1043 2 % 46.88/47.09 1045. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.09 1046. ((op (e4) (op (e5) (e1))) != (op (e4) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 124 1045 % 46.88/47.09 1047. ((e0) != (op (e4) (op (e5) (e1)))) ((op (e4) (e3)) = (e0)) ((op (e5) (e1)) = (e3)) ### Trans-sym 1046 98 % 46.88/47.09 1048. ((op (op (e4) (e5)) (e1)) != (op (e4) (op (e5) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e5) (e1)) = (e3)) ((op (e4) (e3)) = (e0)) ((op (e4) (e5)) = (e1)) ### Trans 1044 1047 % 46.88/47.09 1049. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.09 1050. ((op (op (e4) (e5)) (e2)) != (op (e1) (e2))) ((op (e4) (e5)) = (e1)) ### NotEqual 1049 4 % 46.88/47.09 1051. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.09 1052. ((op (e4) (op (e5) (e2))) != (op (e4) (e4))) ((op (e5) (e2)) = (e4)) ### NotEqual 124 1051 % 46.88/47.09 1053. ((e3) != (op (e4) (op (e5) (e2)))) ((op (e4) (e4)) = (e3)) ((op (e5) (e2)) = (e4)) ### Trans-sym 1052 114 % 46.88/47.09 1054. ((op (op (e4) (e5)) (e2)) != (op (e4) (op (e5) (e2)))) ((op (e1) (e2)) = (e3)) ((op (e5) (e2)) = (e4)) ((op (e4) (e4)) = (e3)) ((op (e4) (e5)) = (e1)) ### Trans 1050 1053 % 46.88/47.09 1055. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.09 1056. ((op (op (e4) (e5)) (e3)) != (op (e1) (e3))) ((op (e4) (e5)) = (e1)) ### NotEqual 1055 114 % 46.88/47.09 1057. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.09 1058. ((op (e4) (op (e5) (e3))) != (op (e4) (e1))) ((op (e5) (e3)) = (e1)) ### NotEqual 124 1057 % 46.88/47.09 1059. ((e2) != (op (e4) (op (e5) (e3)))) ((op (e4) (e1)) = (e2)) ((op (e5) (e3)) = (e1)) ### Trans-sym 1058 4 % 46.88/47.09 1060. ((op (op (e4) (e5)) (e3)) != (op (e4) (op (e5) (e3)))) ((op (e1) (e3)) = (e2)) ((op (e5) (e3)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e4) (e5)) = (e1)) ### Trans 1056 1059 % 46.88/47.09 1061. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.09 1062. ((op (op (e4) (e5)) (e4)) != (op (e1) (e4))) ((op (e4) (e5)) = (e1)) ### NotEqual 1061 124 % 46.88/47.09 1063. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.09 1064. ((op (e4) (op (e5) (e4))) != (op (e4) (e2))) ((op (e5) (e4)) = (e2)) ### NotEqual 124 1063 % 46.88/47.09 1065. ((e5) != (op (e4) (op (e5) (e4)))) ((op (e4) (e2)) = (e5)) ((op (e5) (e4)) = (e2)) ### Trans-sym 1064 128 % 46.88/47.09 1066. ((op (op (e4) (e5)) (e4)) != (op (e4) (op (e5) (e4)))) ((op (e1) (e4)) = (e5)) ((op (e5) (e4)) = (e2)) ((op (e4) (e2)) = (e5)) ((op (e4) (e5)) = (e1)) ### Trans 1062 1065 % 46.88/47.09 1067. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.09 1068. ((op (op (e4) (e5)) (e5)) != (op (e1) (e5))) ((op (e4) (e5)) = (e1)) ### NotEqual 1067 128 % 46.88/47.09 1069. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.09 1070. ((op (e4) (op (e5) (e5))) != (op (e4) (e0))) ((op (e5) (e5)) = (e0)) ### NotEqual 124 1069 % 46.88/47.09 1071. ((e4) != (op (e4) (op (e5) (e5)))) ((op (e4) (e0)) = (e4)) ((op (e5) (e5)) = (e0)) ### Trans-sym 1070 124 % 46.88/47.09 1072. ((op (op (e4) (e5)) (e5)) != (op (e4) (op (e5) (e5)))) ((op (e1) (e5)) = (e4)) ((op (e5) (e5)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e5)) = (e1)) ### Trans 1068 1071 % 46.88/47.09 1073. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.09 1074. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 46.88/47.09 1075. ((op (op (e5) (e0)) (e0)) != (op (e5) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e5) (e0)) = (e5)) ### NotEqual 1073 1074 % 46.88/47.09 1076. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.09 1077. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 46.88/47.09 1078. ((op (op (e5) (e0)) (e1)) != (op (e5) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e5) (e0)) = (e5)) ### NotEqual 1076 1077 % 46.88/47.09 1079. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.09 1080. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 46.88/47.09 1081. ((op (op (e5) (e0)) (e2)) != (op (e5) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e5) (e0)) = (e5)) ### NotEqual 1079 1080 % 46.88/47.09 1082. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.09 1083. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 46.88/47.09 1084. ((op (op (e5) (e0)) (e3)) != (op (e5) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e5) (e0)) = (e5)) ### NotEqual 1082 1083 % 46.88/47.09 1085. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.09 1086. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 46.88/47.09 1087. ((op (op (e5) (e0)) (e4)) != (op (e5) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e5) (e0)) = (e5)) ### NotEqual 1085 1086 % 46.88/47.09 1088. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.09 1089. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 46.88/47.09 1090. ((op (op (e5) (e0)) (e5)) != (op (e5) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e5) (e0)) = (e5)) ### NotEqual 1088 1089 % 46.88/47.09 1091. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.09 1092. ((op (op (e5) (e1)) (e0)) != (op (e3) (e0))) ((op (e5) (e1)) = (e3)) ### NotEqual 1091 98 % 46.88/47.09 1093. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 46.88/47.09 1094. ((op (e5) (op (e1) (e0))) != (op (e5) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 128 1093 % 46.88/47.09 1095. ((e3) != (op (e5) (op (e1) (e0)))) ((op (e5) (e1)) = (e3)) ((op (e1) (e0)) = (e1)) ### Trans-sym 1094 114 % 46.88/47.09 1096. ((op (op (e5) (e1)) (e0)) != (op (e5) (op (e1) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) = (e1)) ((op (e5) (e1)) = (e3)) ### Trans 1092 1095 % 46.88/47.09 1097. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.09 1098. ((op (op (e5) (e1)) (e1)) != (op (e3) (e1))) ((op (e5) (e1)) = (e3)) ### NotEqual 1097 2 % 46.88/47.09 1099. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 46.88/47.09 1100. ((op (e5) (op (e1) (e1))) != (op (e5) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 128 1099 % 46.88/47.09 1101. ((e5) != (op (e5) (op (e1) (e1)))) ((op (e5) (e0)) = (e5)) ((op (e1) (e1)) = (e0)) ### Trans-sym 1100 128 % 46.88/47.09 1102. ((op (op (e5) (e1)) (e1)) != (op (e5) (op (e1) (e1)))) ((op (e3) (e1)) = (e5)) ((op (e1) (e1)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e5) (e1)) = (e3)) ### Trans 1098 1101 % 46.88/47.09 1103. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.09 1104. ((op (op (e5) (e1)) (e2)) != (op (e3) (e2))) ((op (e5) (e1)) = (e3)) ### NotEqual 1103 4 % 46.88/47.09 1105. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom % 46.88/47.09 1106. ((op (e5) (op (e1) (e2))) != (op (e5) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 128 1105 % 46.88/47.09 1107. ((e1) != (op (e5) (op (e1) (e2)))) ((op (e5) (e3)) = (e1)) ((op (e1) (e2)) = (e3)) ### Trans-sym 1106 2 % 46.88/47.09 1108. ((op (op (e5) (e1)) (e2)) != (op (e5) (op (e1) (e2)))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) = (e3)) ((op (e5) (e3)) = (e1)) ((op (e5) (e1)) = (e3)) ### Trans 1104 1107 % 46.88/47.09 1109. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.09 1110. ((op (op (e5) (e1)) (e3)) != (op (e3) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 1109 114 % 46.88/47.09 1111. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom % 46.88/47.09 1112. ((op (e5) (op (e1) (e3))) != (op (e5) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 128 1111 % 46.88/47.09 1113. ((e4) != (op (e5) (op (e1) (e3)))) ((op (e5) (e2)) = (e4)) ((op (e1) (e3)) = (e2)) ### Trans-sym 1112 124 % 46.88/47.09 1114. ((op (op (e5) (e1)) (e3)) != (op (e5) (op (e1) (e3)))) ((op (e3) (e3)) = (e4)) ((op (e1) (e3)) = (e2)) ((op (e5) (e2)) = (e4)) ((op (e5) (e1)) = (e3)) ### Trans 1110 1113 % 46.88/47.09 1115. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.09 1116. ((op (op (e5) (e1)) (e4)) != (op (e3) (e4))) ((op (e5) (e1)) = (e3)) ### NotEqual 1115 124 % 46.88/47.09 1117. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 46.88/47.09 1118. ((op (e5) (op (e1) (e4))) != (op (e5) (e5))) ((op (e1) (e4)) = (e5)) ### NotEqual 128 1117 % 46.88/47.09 1119. ((e0) != (op (e5) (op (e1) (e4)))) ((op (e5) (e5)) = (e0)) ((op (e1) (e4)) = (e5)) ### Trans-sym 1118 98 % 46.88/47.09 1120. ((op (op (e5) (e1)) (e4)) != (op (e5) (op (e1) (e4)))) ((op (e3) (e4)) = (e0)) ((op (e1) (e4)) = (e5)) ((op (e5) (e5)) = (e0)) ((op (e5) (e1)) = (e3)) ### Trans 1116 1119 % 46.88/47.09 1121. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.09 1122. ((op (op (e5) (e1)) (e5)) != (op (e3) (e5))) ((op (e5) (e1)) = (e3)) ### NotEqual 1121 128 % 46.88/47.09 1123. ((op (e1) (e5)) = (e4)) ((op (e1) (e5)) != (e4)) ### Axiom % 46.88/47.09 1124. ((op (e5) (op (e1) (e5))) != (op (e5) (e4))) ((op (e1) (e5)) = (e4)) ### NotEqual 128 1123 % 46.88/47.09 1125. ((e2) != (op (e5) (op (e1) (e5)))) ((op (e5) (e4)) = (e2)) ((op (e1) (e5)) = (e4)) ### Trans-sym 1124 4 % 46.88/47.09 1126. ((op (op (e5) (e1)) (e5)) != (op (e5) (op (e1) (e5)))) ((op (e3) (e5)) = (e2)) ((op (e1) (e5)) = (e4)) ((op (e5) (e4)) = (e2)) ((op (e5) (e1)) = (e3)) ### Trans 1122 1125 % 46.88/47.09 1127. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.09 1128. ((op (op (e5) (e2)) (e0)) != (op (e4) (e0))) ((op (e5) (e2)) = (e4)) ### NotEqual 1127 98 % 46.88/47.09 1129. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 46.88/47.09 1130. ((op (e5) (op (e2) (e0))) != (op (e5) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 128 1129 % 46.88/47.09 1131. ((e4) != (op (e5) (op (e2) (e0)))) ((op (e5) (e2)) = (e4)) ((op (e2) (e0)) = (e2)) ### Trans-sym 1130 124 % 46.88/47.09 1132. ((op (op (e5) (e2)) (e0)) != (op (e5) (op (e2) (e0)))) ((op (e4) (e0)) = (e4)) ((op (e2) (e0)) = (e2)) ((op (e5) (e2)) = (e4)) ### Trans 1128 1131 % 46.88/47.09 1133. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.09 1134. ((op (op (e5) (e2)) (e1)) != (op (e4) (e1))) ((op (e5) (e2)) = (e4)) ### NotEqual 1133 2 % 46.88/47.09 1135. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 46.88/47.09 1136. ((op (e5) (op (e2) (e1))) != (op (e5) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 128 1135 % 46.88/47.09 1137. ((e2) != (op (e5) (op (e2) (e1)))) ((op (e5) (e4)) = (e2)) ((op (e2) (e1)) = (e4)) ### Trans-sym 1136 4 % 46.88/47.09 1138. ((op (op (e5) (e2)) (e1)) != (op (e5) (op (e2) (e1)))) ((op (e4) (e1)) = (e2)) ((op (e2) (e1)) = (e4)) ((op (e5) (e4)) = (e2)) ((op (e5) (e2)) = (e4)) ### Trans 1134 1137 % 46.88/47.09 1139. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.09 1140. ((op (op (e5) (e2)) (e2)) != (op (e4) (e2))) ((op (e5) (e2)) = (e4)) ### NotEqual 1139 4 % 46.88/47.09 1141. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom % 46.88/47.09 1142. ((op (e5) (op (e2) (e2))) != (op (e5) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 128 1141 % 46.88/47.09 1143. ((e5) != (op (e5) (op (e2) (e2)))) ((op (e5) (e0)) = (e5)) ((op (e2) (e2)) = (e0)) ### Trans-sym 1142 128 % 46.88/47.09 1144. ((op (op (e5) (e2)) (e2)) != (op (e5) (op (e2) (e2)))) ((op (e4) (e2)) = (e5)) ((op (e2) (e2)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e5) (e2)) = (e4)) ### Trans 1140 1143 % 46.88/47.09 1145. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.09 1146. ((op (op (e5) (e2)) (e3)) != (op (e4) (e3))) ((op (e5) (e2)) = (e4)) ### NotEqual 1145 114 % 46.88/47.09 1147. ((op (e2) (e3)) = (e5)) ((op (e2) (e3)) != (e5)) ### Axiom % 46.88/47.09 1148. ((op (e5) (op (e2) (e3))) != (op (e5) (e5))) ((op (e2) (e3)) = (e5)) ### NotEqual 128 1147 % 46.88/47.09 1149. ((e0) != (op (e5) (op (e2) (e3)))) ((op (e5) (e5)) = (e0)) ((op (e2) (e3)) = (e5)) ### Trans-sym 1148 98 % 46.88/47.09 1150. ((op (op (e5) (e2)) (e3)) != (op (e5) (op (e2) (e3)))) ((op (e4) (e3)) = (e0)) ((op (e2) (e3)) = (e5)) ((op (e5) (e5)) = (e0)) ((op (e5) (e2)) = (e4)) ### Trans 1146 1149 % 46.88/47.09 1151. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.09 1152. ((op (op (e5) (e2)) (e4)) != (op (e4) (e4))) ((op (e5) (e2)) = (e4)) ### NotEqual 1151 124 % 46.88/47.09 1153. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom % 46.88/47.09 1154. ((op (e5) (op (e2) (e4))) != (op (e5) (e1))) ((op (e2) (e4)) = (e1)) ### NotEqual 128 1153 % 46.88/47.09 1155. ((e3) != (op (e5) (op (e2) (e4)))) ((op (e5) (e1)) = (e3)) ((op (e2) (e4)) = (e1)) ### Trans-sym 1154 114 % 46.88/47.09 1156. ((op (op (e5) (e2)) (e4)) != (op (e5) (op (e2) (e4)))) ((op (e4) (e4)) = (e3)) ((op (e2) (e4)) = (e1)) ((op (e5) (e1)) = (e3)) ((op (e5) (e2)) = (e4)) ### Trans 1152 1155 % 46.88/47.09 1157. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.09 1158. ((op (op (e5) (e2)) (e5)) != (op (e4) (e5))) ((op (e5) (e2)) = (e4)) ### NotEqual 1157 128 % 46.88/47.09 1159. ((op (e2) (e5)) = (e3)) ((op (e2) (e5)) != (e3)) ### Axiom % 46.88/47.09 1160. ((op (e5) (op (e2) (e5))) != (op (e5) (e3))) ((op (e2) (e5)) = (e3)) ### NotEqual 128 1159 % 46.88/47.09 1161. ((e1) != (op (e5) (op (e2) (e5)))) ((op (e5) (e3)) = (e1)) ((op (e2) (e5)) = (e3)) ### Trans-sym 1160 2 % 46.88/47.09 1162. ((op (op (e5) (e2)) (e5)) != (op (e5) (op (e2) (e5)))) ((op (e4) (e5)) = (e1)) ((op (e2) (e5)) = (e3)) ((op (e5) (e3)) = (e1)) ((op (e5) (e2)) = (e4)) ### Trans 1158 1161 % 46.88/47.09 1163. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.09 1164. ((op (op (e5) (e3)) (e0)) != (op (e1) (e0))) ((op (e5) (e3)) = (e1)) ### NotEqual 1163 98 % 46.88/47.09 1165. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 46.88/47.09 1166. ((op (e5) (op (e3) (e0))) != (op (e5) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 128 1165 % 46.88/47.09 1167. ((e1) != (op (e5) (op (e3) (e0)))) ((op (e5) (e3)) = (e1)) ((op (e3) (e0)) = (e3)) ### Trans-sym 1166 2 % 46.88/47.09 1168. ((op (op (e5) (e3)) (e0)) != (op (e5) (op (e3) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) = (e3)) ((op (e5) (e3)) = (e1)) ### Trans 1164 1167 % 46.88/47.09 1169. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.09 1170. ((op (op (e5) (e3)) (e1)) != (op (e1) (e1))) ((op (e5) (e3)) = (e1)) ### NotEqual 1169 2 % 46.88/47.09 1171. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 46.88/47.09 1172. ((op (e5) (op (e3) (e1))) != (op (e5) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 128 1171 % 46.88/47.09 1173. ((e0) != (op (e5) (op (e3) (e1)))) ((op (e5) (e5)) = (e0)) ((op (e3) (e1)) = (e5)) ### Trans-sym 1172 98 % 46.88/47.09 1174. ((op (op (e5) (e3)) (e1)) != (op (e5) (op (e3) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e3) (e1)) = (e5)) ((op (e5) (e5)) = (e0)) ((op (e5) (e3)) = (e1)) ### Trans 1170 1173 % 46.88/47.09 1175. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.09 1176. ((op (op (e5) (e3)) (e2)) != (op (e1) (e2))) ((op (e5) (e3)) = (e1)) ### NotEqual 1175 4 % 46.88/47.09 1177. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom % 46.88/47.09 1178. ((op (e5) (op (e3) (e2))) != (op (e5) (e1))) ((op (e3) (e2)) = (e1)) ### NotEqual 128 1177 % 46.88/47.09 1179. ((e3) != (op (e5) (op (e3) (e2)))) ((op (e5) (e1)) = (e3)) ((op (e3) (e2)) = (e1)) ### Trans-sym 1178 114 % 46.88/47.09 1180. ((op (op (e5) (e3)) (e2)) != (op (e5) (op (e3) (e2)))) ((op (e1) (e2)) = (e3)) ((op (e3) (e2)) = (e1)) ((op (e5) (e1)) = (e3)) ((op (e5) (e3)) = (e1)) ### Trans 1176 1179 % 46.88/47.09 1181. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.09 1182. ((op (op (e5) (e3)) (e3)) != (op (e1) (e3))) ((op (e5) (e3)) = (e1)) ### NotEqual 1181 114 % 46.88/47.09 1183. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom % 46.88/47.09 1184. ((op (e5) (op (e3) (e3))) != (op (e5) (e4))) ((op (e3) (e3)) = (e4)) ### NotEqual 128 1183 % 46.88/47.09 1185. ((e2) != (op (e5) (op (e3) (e3)))) ((op (e5) (e4)) = (e2)) ((op (e3) (e3)) = (e4)) ### Trans-sym 1184 4 % 46.88/47.09 1186. ((op (op (e5) (e3)) (e3)) != (op (e5) (op (e3) (e3)))) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e4)) ((op (e5) (e4)) = (e2)) ((op (e5) (e3)) = (e1)) ### Trans 1182 1185 % 46.88/47.09 1187. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.09 1188. ((op (op (e5) (e3)) (e4)) != (op (e1) (e4))) ((op (e5) (e3)) = (e1)) ### NotEqual 1187 124 % 46.88/47.09 1189. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0)) ### Axiom % 46.88/47.09 1190. ((op (e5) (op (e3) (e4))) != (op (e5) (e0))) ((op (e3) (e4)) = (e0)) ### NotEqual 128 1189 % 46.88/47.09 1191. ((e5) != (op (e5) (op (e3) (e4)))) ((op (e5) (e0)) = (e5)) ((op (e3) (e4)) = (e0)) ### Trans-sym 1190 128 % 46.88/47.09 1192. ((op (op (e5) (e3)) (e4)) != (op (e5) (op (e3) (e4)))) ((op (e1) (e4)) = (e5)) ((op (e3) (e4)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e5) (e3)) = (e1)) ### Trans 1188 1191 % 46.88/47.09 1193. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.09 1194. ((op (op (e5) (e3)) (e5)) != (op (e1) (e5))) ((op (e5) (e3)) = (e1)) ### NotEqual 1193 128 % 46.88/47.09 1195. ((op (e3) (e5)) = (e2)) ((op (e3) (e5)) != (e2)) ### Axiom % 46.88/47.09 1196. ((op (e5) (op (e3) (e5))) != (op (e5) (e2))) ((op (e3) (e5)) = (e2)) ### NotEqual 128 1195 % 46.88/47.09 1197. ((e4) != (op (e5) (op (e3) (e5)))) ((op (e5) (e2)) = (e4)) ((op (e3) (e5)) = (e2)) ### Trans-sym 1196 124 % 46.88/47.09 1198. ((op (op (e5) (e3)) (e5)) != (op (e5) (op (e3) (e5)))) ((op (e1) (e5)) = (e4)) ((op (e3) (e5)) = (e2)) ((op (e5) (e2)) = (e4)) ((op (e5) (e3)) = (e1)) ### Trans 1194 1197 % 46.88/47.09 1199. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.09 1200. ((op (op (e5) (e4)) (e0)) != (op (e2) (e0))) ((op (e5) (e4)) = (e2)) ### NotEqual 1199 98 % 46.88/47.09 1201. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 46.88/47.09 1202. ((op (e5) (op (e4) (e0))) != (op (e5) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 128 1201 % 46.88/47.09 1203. ((e2) != (op (e5) (op (e4) (e0)))) ((op (e5) (e4)) = (e2)) ((op (e4) (e0)) = (e4)) ### Trans-sym 1202 4 % 46.88/47.09 1204. ((op (op (e5) (e4)) (e0)) != (op (e5) (op (e4) (e0)))) ((op (e2) (e0)) = (e2)) ((op (e4) (e0)) = (e4)) ((op (e5) (e4)) = (e2)) ### Trans 1200 1203 % 46.88/47.09 1205. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.09 1206. ((op (op (e5) (e4)) (e1)) != (op (e2) (e1))) ((op (e5) (e4)) = (e2)) ### NotEqual 1205 2 % 46.88/47.09 1207. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 46.88/47.09 1208. ((op (e5) (op (e4) (e1))) != (op (e5) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 128 1207 % 46.88/47.09 1209. ((e4) != (op (e5) (op (e4) (e1)))) ((op (e5) (e2)) = (e4)) ((op (e4) (e1)) = (e2)) ### Trans-sym 1208 124 % 46.88/47.09 1210. ((op (op (e5) (e4)) (e1)) != (op (e5) (op (e4) (e1)))) ((op (e2) (e1)) = (e4)) ((op (e4) (e1)) = (e2)) ((op (e5) (e2)) = (e4)) ((op (e5) (e4)) = (e2)) ### Trans 1206 1209 % 46.88/47.09 1211. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.09 1212. ((op (op (e5) (e4)) (e2)) != (op (e2) (e2))) ((op (e5) (e4)) = (e2)) ### NotEqual 1211 4 % 46.88/47.09 1213. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 46.88/47.09 1214. ((op (e5) (op (e4) (e2))) != (op (e5) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 128 1213 % 46.88/47.09 1215. ((e0) != (op (e5) (op (e4) (e2)))) ((op (e5) (e5)) = (e0)) ((op (e4) (e2)) = (e5)) ### Trans-sym 1214 98 % 46.88/47.09 1216. ((op (op (e5) (e4)) (e2)) != (op (e5) (op (e4) (e2)))) ((op (e2) (e2)) = (e0)) ((op (e4) (e2)) = (e5)) ((op (e5) (e5)) = (e0)) ((op (e5) (e4)) = (e2)) ### Trans 1212 1215 % 46.88/47.09 1217. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.09 1218. ((op (op (e5) (e4)) (e3)) != (op (e2) (e3))) ((op (e5) (e4)) = (e2)) ### NotEqual 1217 114 % 46.88/47.09 1219. ((op (e4) (e3)) = (e0)) ((op (e4) (e3)) != (e0)) ### Axiom % 46.88/47.09 1220. ((op (e5) (op (e4) (e3))) != (op (e5) (e0))) ((op (e4) (e3)) = (e0)) ### NotEqual 128 1219 % 46.88/47.09 1221. ((e5) != (op (e5) (op (e4) (e3)))) ((op (e5) (e0)) = (e5)) ((op (e4) (e3)) = (e0)) ### Trans-sym 1220 128 % 46.88/47.09 1222. ((op (op (e5) (e4)) (e3)) != (op (e5) (op (e4) (e3)))) ((op (e2) (e3)) = (e5)) ((op (e4) (e3)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e5) (e4)) = (e2)) ### Trans 1218 1221 % 46.88/47.09 1223. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.09 1224. ((op (op (e5) (e4)) (e4)) != (op (e2) (e4))) ((op (e5) (e4)) = (e2)) ### NotEqual 1223 124 % 46.88/47.09 1225. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 46.88/47.09 1226. ((op (e5) (op (e4) (e4))) != (op (e5) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 128 1225 % 46.88/47.09 1227. ((e1) != (op (e5) (op (e4) (e4)))) ((op (e5) (e3)) = (e1)) ((op (e4) (e4)) = (e3)) ### Trans-sym 1226 2 % 46.88/47.09 1228. ((op (op (e5) (e4)) (e4)) != (op (e5) (op (e4) (e4)))) ((op (e2) (e4)) = (e1)) ((op (e4) (e4)) = (e3)) ((op (e5) (e3)) = (e1)) ((op (e5) (e4)) = (e2)) ### Trans 1224 1227 % 46.88/47.09 1229. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.09 1230. ((op (op (e5) (e4)) (e5)) != (op (e2) (e5))) ((op (e5) (e4)) = (e2)) ### NotEqual 1229 128 % 46.88/47.09 1231. ((op (e4) (e5)) = (e1)) ((op (e4) (e5)) != (e1)) ### Axiom % 46.88/47.09 1232. ((op (e5) (op (e4) (e5))) != (op (e5) (e1))) ((op (e4) (e5)) = (e1)) ### NotEqual 128 1231 % 46.88/47.09 1233. ((e3) != (op (e5) (op (e4) (e5)))) ((op (e5) (e1)) = (e3)) ((op (e4) (e5)) = (e1)) ### Trans-sym 1232 114 % 46.88/47.09 1234. ((op (op (e5) (e4)) (e5)) != (op (e5) (op (e4) (e5)))) ((op (e2) (e5)) = (e3)) ((op (e4) (e5)) = (e1)) ((op (e5) (e1)) = (e3)) ((op (e5) (e4)) = (e2)) ### Trans 1230 1233 % 46.88/47.09 1235. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.09 1236. ((op (op (e5) (e5)) (e0)) != (op (e0) (e0))) ((op (e5) (e5)) = (e0)) ### NotEqual 1235 98 % 46.88/47.09 1237. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 46.88/47.09 1238. ((op (e5) (op (e5) (e0))) != (op (e5) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 128 1237 % 46.88/47.09 1239. ((e0) != (op (e5) (op (e5) (e0)))) ((op (e5) (e5)) = (e0)) ((op (e5) (e0)) = (e5)) ### Trans-sym 1238 98 % 46.88/47.09 1240. ((op (op (e5) (e5)) (e0)) != (op (e5) (op (e5) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e5) (e5)) = (e0)) ### Trans 1236 1239 % 46.88/47.09 1241. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.09 1242. ((op (op (e5) (e5)) (e1)) != (op (e0) (e1))) ((op (e5) (e5)) = (e0)) ### NotEqual 1241 2 % 46.88/47.09 1243. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 46.88/47.09 1244. ((op (e5) (op (e5) (e1))) != (op (e5) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 128 1243 % 46.88/47.09 1245. ((e1) != (op (e5) (op (e5) (e1)))) ((op (e5) (e3)) = (e1)) ((op (e5) (e1)) = (e3)) ### Trans-sym 1244 2 % 46.88/47.09 1246. ((op (op (e5) (e5)) (e1)) != (op (e5) (op (e5) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e5) (e1)) = (e3)) ((op (e5) (e3)) = (e1)) ((op (e5) (e5)) = (e0)) ### Trans 1242 1245 % 46.88/47.09 1247. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.09 1248. ((op (op (e5) (e5)) (e2)) != (op (e0) (e2))) ((op (e5) (e5)) = (e0)) ### NotEqual 1247 4 % 46.88/47.09 1249. ((op (e5) (e2)) = (e4)) ((op (e5) (e2)) != (e4)) ### Axiom % 46.88/47.09 1250. ((op (e5) (op (e5) (e2))) != (op (e5) (e4))) ((op (e5) (e2)) = (e4)) ### NotEqual 128 1249 % 46.88/47.09 1251. ((e2) != (op (e5) (op (e5) (e2)))) ((op (e5) (e4)) = (e2)) ((op (e5) (e2)) = (e4)) ### Trans-sym 1250 4 % 46.88/47.09 1252. ((op (op (e5) (e5)) (e2)) != (op (e5) (op (e5) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e5) (e2)) = (e4)) ((op (e5) (e4)) = (e2)) ((op (e5) (e5)) = (e0)) ### Trans 1248 1251 % 46.88/47.09 1253. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.09 1254. ((op (op (e5) (e5)) (e3)) != (op (e0) (e3))) ((op (e5) (e5)) = (e0)) ### NotEqual 1253 114 % 46.88/47.09 1255. ((op (e5) (e3)) = (e1)) ((op (e5) (e3)) != (e1)) ### Axiom % 46.88/47.09 1256. ((op (e5) (op (e5) (e3))) != (op (e5) (e1))) ((op (e5) (e3)) = (e1)) ### NotEqual 128 1255 % 46.88/47.09 1257. ((e3) != (op (e5) (op (e5) (e3)))) ((op (e5) (e1)) = (e3)) ((op (e5) (e3)) = (e1)) ### Trans-sym 1256 114 % 46.88/47.09 1258. ((op (op (e5) (e5)) (e3)) != (op (e5) (op (e5) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e5) (e3)) = (e1)) ((op (e5) (e1)) = (e3)) ((op (e5) (e5)) = (e0)) ### Trans 1254 1257 % 46.88/47.09 1259. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.09 1260. ((op (op (e5) (e5)) (e4)) != (op (e0) (e4))) ((op (e5) (e5)) = (e0)) ### NotEqual 1259 124 % 46.88/47.09 1261. ((op (e5) (e4)) = (e2)) ((op (e5) (e4)) != (e2)) ### Axiom % 46.88/47.09 1262. ((op (e5) (op (e5) (e4))) != (op (e5) (e2))) ((op (e5) (e4)) = (e2)) ### NotEqual 128 1261 % 46.88/47.09 1263. ((e4) != (op (e5) (op (e5) (e4)))) ((op (e5) (e2)) = (e4)) ((op (e5) (e4)) = (e2)) ### Trans-sym 1262 124 % 46.88/47.09 1264. ((op (op (e5) (e5)) (e4)) != (op (e5) (op (e5) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e5) (e4)) = (e2)) ((op (e5) (e2)) = (e4)) ((op (e5) (e5)) = (e0)) ### Trans 1260 1263 % 46.88/47.09 1265. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.09 1266. ((op (op (e5) (e5)) (e5)) != (op (e0) (e5))) ((op (e5) (e5)) = (e0)) ### NotEqual 1265 128 % 46.88/47.09 1267. ((op (e5) (e5)) = (e0)) ((op (e5) (e5)) != (e0)) ### Axiom % 46.88/47.09 1268. ((op (e5) (op (e5) (e5))) != (op (e5) (e0))) ((op (e5) (e5)) = (e0)) ### NotEqual 128 1267 % 46.88/47.09 1269. ((e5) != (op (e5) (op (e5) (e5)))) ((op (e5) (e0)) = (e5)) ((op (e5) (e5)) = (e0)) ### Trans-sym 1268 128 % 46.88/47.09 1270. ((op (op (e5) (e5)) (e5)) != (op (e5) (op (e5) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e5) (e0)) = (e5)) ((op (e5) (e5)) = (e0)) ### Trans 1266 1269 % 46.88/47.09 1271. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1272. ((op (unit) (e0)) != (op (e0) (e0))) ((unit) = (e0)) ### NotEqual 1271 98 % 46.88/47.09 1273. ((op (unit) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### Trans 1272 98 % 46.88/47.09 1274. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1275. ((op (e0) (unit)) != (op (e0) (e0))) ((unit) = (e0)) ### NotEqual 98 1274 % 46.88/47.09 1276. ((op (e0) (unit)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### Trans 1275 98 % 46.88/47.09 1277. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1278. ((op (unit) (e1)) != (op (e0) (e1))) ((unit) = (e0)) ### NotEqual 1277 2 % 46.88/47.09 1279. ((op (unit) (e1)) != (e1)) ((op (e0) (e1)) = (e1)) ((unit) = (e0)) ### Trans 1278 2 % 46.88/47.09 1280. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1281. ((op (e1) (unit)) != (op (e1) (e0))) ((unit) = (e0)) ### NotEqual 2 1280 % 46.88/47.09 1282. ((op (e1) (unit)) != (e1)) ((op (e1) (e0)) = (e1)) ((unit) = (e0)) ### Trans 1281 2 % 46.88/47.09 1283. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1284. ((op (unit) (e2)) != (op (e0) (e2))) ((unit) = (e0)) ### NotEqual 1283 4 % 46.88/47.09 1285. ((op (unit) (e2)) != (e2)) ((op (e0) (e2)) = (e2)) ((unit) = (e0)) ### Trans 1284 4 % 46.88/47.09 1286. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1287. ((op (e2) (unit)) != (op (e2) (e0))) ((unit) = (e0)) ### NotEqual 4 1286 % 46.88/47.09 1288. ((op (e2) (unit)) != (e2)) ((op (e2) (e0)) = (e2)) ((unit) = (e0)) ### Trans 1287 4 % 46.88/47.09 1289. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1290. ((op (unit) (e3)) != (op (e0) (e3))) ((unit) = (e0)) ### NotEqual 1289 114 % 46.88/47.09 1291. ((op (unit) (e3)) != (e3)) ((op (e0) (e3)) = (e3)) ((unit) = (e0)) ### Trans 1290 114 % 46.88/47.09 1292. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1293. ((op (e3) (unit)) != (op (e3) (e0))) ((unit) = (e0)) ### NotEqual 114 1292 % 46.88/47.09 1294. ((op (e3) (unit)) != (e3)) ((op (e3) (e0)) = (e3)) ((unit) = (e0)) ### Trans 1293 114 % 46.88/47.09 1295. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1296. ((op (unit) (e4)) != (op (e0) (e4))) ((unit) = (e0)) ### NotEqual 1295 124 % 46.88/47.09 1297. ((op (unit) (e4)) != (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e0)) ### Trans 1296 124 % 46.88/47.09 1298. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1299. ((op (e4) (unit)) != (op (e4) (e0))) ((unit) = (e0)) ### NotEqual 124 1298 % 46.88/47.09 1300. ((op (e4) (unit)) != (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e0)) ### Trans 1299 124 % 46.88/47.09 1301. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1302. ((op (unit) (e5)) != (op (e0) (e5))) ((unit) = (e0)) ### NotEqual 1301 128 % 46.88/47.09 1303. ((op (unit) (e5)) != (e5)) ((op (e0) (e5)) = (e5)) ((unit) = (e0)) ### Trans 1302 128 % 46.88/47.09 1304. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1305. ((op (e5) (unit)) != (op (e5) (e0))) ((unit) = (e0)) ### NotEqual 128 1304 % 46.88/47.09 1306. ((op (e5) (unit)) != (e5)) ((op (e5) (e0)) = (e5)) ((unit) = (e0)) ### Trans 1305 128 % 46.88/47.09 1307. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 46.88/47.09 1308. (-. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ (((unit) = (e4)) \/ ((unit) = (e5)))))))) ((unit) = (e0)) ### ConjTree 1307 % 46.88/47.09 1309. ((inv (e0)) = (e0)) ((inv (e0)) != (e0)) ### Axiom % 46.88/47.09 1310. ((op (e0) (inv (e0))) != (op (e0) (e0))) ((inv (e0)) = (e0)) ### NotEqual 98 1309 % 46.88/47.09 1311. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.09 1312. ((op (e0) (inv (e0))) != (unit)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ((inv (e0)) = (e0)) ### Trans 1310 1311 % 46.88/47.09 1313. ((inv (e0)) = (e0)) ((inv (e0)) != (e0)) ### Axiom % 46.88/47.09 1314. ((op (inv (e0)) (e0)) != (op (e0) (e0))) ((inv (e0)) = (e0)) ### NotEqual 1313 98 % 46.88/47.09 1315. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.09 1316. ((op (inv (e0)) (e0)) != (unit)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ((inv (e0)) = (e0)) ### Trans 1314 1315 % 46.88/47.09 1317. ((inv (e1)) = (e1)) ((inv (e1)) != (e1)) ### Axiom % 46.88/47.09 1318. ((op (e1) (inv (e1))) != (op (e1) (e1))) ((inv (e1)) = (e1)) ### NotEqual 2 1317 % 46.88/47.09 1319. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.09 1320. ((op (e1) (inv (e1))) != (unit)) ((op (e1) (e1)) = (e0)) ((unit) = (e0)) ((inv (e1)) = (e1)) ### Trans 1318 1319 % 46.88/47.09 1321. ((inv (e1)) = (e1)) ((inv (e1)) != (e1)) ### Axiom % 46.88/47.09 1322. ((op (inv (e1)) (e1)) != (op (e1) (e1))) ((inv (e1)) = (e1)) ### NotEqual 1321 2 % 46.88/47.09 1323. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.09 1324. ((op (inv (e1)) (e1)) != (unit)) ((op (e1) (e1)) = (e0)) ((unit) = (e0)) ((inv (e1)) = (e1)) ### Trans 1322 1323 % 46.88/47.09 1325. ((inv (e2)) = (e2)) ((inv (e2)) != (e2)) ### Axiom % 46.88/47.09 1326. ((op (e2) (inv (e2))) != (op (e2) (e2))) ((inv (e2)) = (e2)) ### NotEqual 4 1325 % 46.88/47.09 1327. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.09 1328. ((op (e2) (inv (e2))) != (unit)) ((op (e2) (e2)) = (e0)) ((unit) = (e0)) ((inv (e2)) = (e2)) ### Trans 1326 1327 % 46.88/47.09 1329. ((inv (e2)) = (e2)) ((inv (e2)) != (e2)) ### Axiom % 46.88/47.09 1330. ((op (inv (e2)) (e2)) != (op (e2) (e2))) ((inv (e2)) = (e2)) ### NotEqual 1329 4 % 46.88/47.09 1331. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.09 1332. ((op (inv (e2)) (e2)) != (unit)) ((op (e2) (e2)) = (e0)) ((unit) = (e0)) ((inv (e2)) = (e2)) ### Trans 1330 1331 % 46.88/47.09 1333. ((inv (e3)) = (e4)) ((inv (e3)) != (e4)) ### Axiom % 46.88/47.09 1334. ((op (e3) (inv (e3))) != (op (e3) (e4))) ((inv (e3)) = (e4)) ### NotEqual 114 1333 % 46.88/47.09 1335. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.09 1336. ((op (e3) (inv (e3))) != (unit)) ((op (e3) (e4)) = (e0)) ((unit) = (e0)) ((inv (e3)) = (e4)) ### Trans 1334 1335 % 46.88/47.09 1337. ((inv (e3)) = (e4)) ((inv (e3)) != (e4)) ### Axiom % 46.88/47.09 1338. ((op (inv (e3)) (e3)) != (op (e4) (e3))) ((inv (e3)) = (e4)) ### NotEqual 1337 114 % 46.88/47.09 1339. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.09 1340. ((op (inv (e3)) (e3)) != (unit)) ((op (e4) (e3)) = (e0)) ((unit) = (e0)) ((inv (e3)) = (e4)) ### Trans 1338 1339 % 46.88/47.10 1341. ((inv (e4)) = (e3)) ((inv (e4)) != (e3)) ### Axiom % 46.88/47.10 1342. ((op (e4) (inv (e4))) != (op (e4) (e3))) ((inv (e4)) = (e3)) ### NotEqual 124 1341 % 46.88/47.10 1343. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.10 1344. ((op (e4) (inv (e4))) != (unit)) ((op (e4) (e3)) = (e0)) ((unit) = (e0)) ((inv (e4)) = (e3)) ### Trans 1342 1343 % 46.88/47.10 1345. ((inv (e4)) = (e3)) ((inv (e4)) != (e3)) ### Axiom % 46.88/47.10 1346. ((op (inv (e4)) (e4)) != (op (e3) (e4))) ((inv (e4)) = (e3)) ### NotEqual 1345 124 % 46.88/47.10 1347. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.10 1348. ((op (inv (e4)) (e4)) != (unit)) ((op (e3) (e4)) = (e0)) ((unit) = (e0)) ((inv (e4)) = (e3)) ### Trans 1346 1347 % 46.88/47.10 1349. ((inv (e5)) = (e5)) ((inv (e5)) != (e5)) ### Axiom % 46.88/47.10 1350. ((op (e5) (inv (e5))) != (op (e5) (e5))) ((inv (e5)) = (e5)) ### NotEqual 128 1349 % 46.88/47.10 1351. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.10 1352. ((op (e5) (inv (e5))) != (unit)) ((op (e5) (e5)) = (e0)) ((unit) = (e0)) ((inv (e5)) = (e5)) ### Trans 1350 1351 % 46.88/47.10 1353. ((inv (e5)) = (e5)) ((inv (e5)) != (e5)) ### Axiom % 46.88/47.10 1354. ((op (inv (e5)) (e5)) != (op (e5) (e5))) ((inv (e5)) = (e5)) ### NotEqual 1353 128 % 46.88/47.10 1355. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 46.88/47.10 1356. ((op (inv (e5)) (e5)) != (unit)) ((op (e5) (e5)) = (e0)) ((unit) = (e0)) ((inv (e5)) = (e5)) ### Trans 1354 1355 % 46.88/47.10 1357. ((inv (e0)) = (e0)) ((inv (e0)) != (e0)) ### Axiom % 46.88/47.10 1358. (-. (((inv (e0)) = (e0)) \/ (((inv (e0)) = (e1)) \/ (((inv (e0)) = (e2)) \/ (((inv (e0)) = (e3)) \/ (((inv (e0)) = (e4)) \/ ((inv (e0)) = (e5)))))))) ((inv (e0)) = (e0)) ### ConjTree 1357 % 46.88/47.10 1359. ((inv (e1)) = (e1)) ((inv (e1)) != (e1)) ### Axiom % 46.88/47.10 1360. (-. (((inv (e1)) = (e0)) \/ (((inv (e1)) = (e1)) \/ (((inv (e1)) = (e2)) \/ (((inv (e1)) = (e3)) \/ (((inv (e1)) = (e4)) \/ ((inv (e1)) = (e5)))))))) ((inv (e1)) = (e1)) ### ConjTree 1359 % 46.88/47.10 1361. ((inv (e2)) = (e2)) ((inv (e2)) != (e2)) ### Axiom % 46.88/47.10 1362. (-. (((inv (e2)) = (e0)) \/ (((inv (e2)) = (e1)) \/ (((inv (e2)) = (e2)) \/ (((inv (e2)) = (e3)) \/ (((inv (e2)) = (e4)) \/ ((inv (e2)) = (e5)))))))) ((inv (e2)) = (e2)) ### ConjTree 1361 % 46.88/47.10 1363. ((inv (e3)) = (e4)) ((inv (e3)) != (e4)) ### Axiom % 46.88/47.10 1364. (-. (((inv (e3)) = (e0)) \/ (((inv (e3)) = (e1)) \/ (((inv (e3)) = (e2)) \/ (((inv (e3)) = (e3)) \/ (((inv (e3)) = (e4)) \/ ((inv (e3)) = (e5)))))))) ((inv (e3)) = (e4)) ### ConjTree 1363 % 46.88/47.10 1365. ((inv (e4)) = (e3)) ((inv (e4)) != (e3)) ### Axiom % 46.88/47.10 1366. (-. (((inv (e4)) = (e0)) \/ (((inv (e4)) = (e1)) \/ (((inv (e4)) = (e2)) \/ (((inv (e4)) = (e3)) \/ (((inv (e4)) = (e4)) \/ ((inv (e4)) = (e5)))))))) ((inv (e4)) = (e3)) ### ConjTree 1365 % 46.88/47.10 1367. ((inv (e5)) = (e5)) ((inv (e5)) != (e5)) ### Axiom % 46.88/47.10 1368. (-. (((inv (e5)) = (e0)) \/ (((inv (e5)) = (e1)) \/ (((inv (e5)) = (e2)) \/ (((inv (e5)) = (e3)) \/ (((inv (e5)) = (e4)) \/ ((inv (e5)) = (e5)))))))) ((inv (e5)) = (e5)) ### ConjTree 1367 % 46.88/47.10 1369. (-. ((-. (((op (e0) (e0)) = (op (e0) (e0))) /\ (((op (e0) (e1)) = (op (e1) (e0))) /\ (((op (e0) (e2)) = (op (e2) (e0))) /\ (((op (e0) (e3)) = (op (e3) (e0))) /\ (((op (e0) (e4)) = (op (e4) (e0))) /\ (((op (e0) (e5)) = (op (e5) (e0))) /\ (((op (e1) (e0)) = (op (e0) (e1))) /\ (((op (e1) (e1)) = (op (e1) (e1))) /\ (((op (e1) (e2)) = (op (e2) (e1))) /\ (((op (e1) (e3)) = (op (e3) (e1))) /\ (((op (e1) (e4)) = (op (e4) (e1))) /\ (((op (e1) (e5)) = (op (e5) (e1))) /\ (((op (e2) (e0)) = (op (e0) (e2))) /\ (((op (e2) (e1)) = (op (e1) (e2))) /\ (((op (e2) (e2)) = (op (e2) (e2))) /\ (((op (e2) (e3)) = (op (e3) (e2))) /\ (((op (e2) (e4)) = (op (e4) (e2))) /\ (((op (e2) (e5)) = (op (e5) (e2))) /\ (((op (e3) (e0)) = (op (e0) (e3))) /\ (((op (e3) (e1)) = (op (e1) (e3))) /\ (((op (e3) (e2)) = (op (e2) (e3))) /\ (((op (e3) (e3)) = (op (e3) (e3))) /\ (((op (e3) (e4)) = (op (e4) (e3))) /\ (((op (e3) (e5)) = (op (e5) (e3))) /\ (((op (e4) (e0)) = (op (e0) (e4))) /\ (((op (e4) (e1)) = (op (e1) (e4))) /\ (((op (e4) (e2)) = (op (e2) (e4))) /\ (((op (e4) (e3)) = (op (e3) (e4))) /\ (((op (e4) (e4)) = (op (e4) (e4))) /\ (((op (e4) (e5)) = (op (e5) (e4))) /\ (((op (e5) (e0)) = (op (e0) (e5))) /\ (((op (e5) (e1)) = (op (e1) (e5))) /\ (((op (e5) (e2)) = (op (e2) (e5))) /\ (((op (e5) (e3)) = (op (e3) (e5))) /\ (((op (e5) (e4)) = (op (e4) (e5))) /\ ((op (e5) (e5)) = (op (e5) (e5))))))))))))))))))))))))))))))))))))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e0)) = (e4)) \/ ((op (e0) (e0)) = (e5))))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e1)) = (e4)) \/ ((op (e0) (e1)) = (e5))))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e2)) = (e4)) \/ ((op (e0) (e2)) = (e5))))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e3)) = (e5))))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ (((op (e0) (e4)) = (e4)) \/ ((op (e0) (e4)) = (e5))))))) /\ ((((op (e0) (e5)) = (e0)) \/ (((op (e0) (e5)) = (e1)) \/ (((op (e0) (e5)) = (e2)) \/ (((op (e0) (e5)) = (e3)) \/ (((op (e0) (e5)) = (e4)) \/ ((op (e0) (e5)) = (e5))))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e4)) \/ ((op (e1) (e0)) = (e5))))))) /\ ((((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e4)) \/ ((op (e1) (e1)) = (e5))))))) /\ ((((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e4)) \/ ((op (e1) (e2)) = (e5))))))) /\ ((((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e3)) = (e5))))))) /\ ((((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e4)) \/ ((op (e1) (e4)) = (e5))))))) /\ ((((op (e1) (e5)) = (e0)) \/ (((op (e1) (e5)) = (e1)) \/ (((op (e1) (e5)) = (e2)) \/ (((op (e1) (e5)) = (e3)) \/ (((op (e1) (e5)) = (e4)) \/ ((op (e1) (e5)) = (e5))))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e4)) \/ ((op (e2) (e0)) = (e5))))))) /\ ((((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e4)) \/ ((op (e2) (e1)) = (e5))))))) /\ ((((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e4)) \/ ((op (e2) (e2)) = (e5))))))) /\ ((((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e3)) = (e5))))))) /\ ((((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e4)) \/ ((op (e2) (e4)) = (e5))))))) /\ ((((op (e2) (e5)) = (e0)) \/ (((op (e2) (e5)) = (e1)) \/ (((op (e2) (e5)) = (e2)) \/ (((op (e2) (e5)) = (e3)) \/ (((op (e2) (e5)) = (e4)) \/ ((op (e2) (e5)) = (e5))))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e3) (e0)) = (e5))))))) /\ ((((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e3) (e1)) = (e5))))))) /\ ((((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e2)) = 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877 880 883 886 889 892 898 904 910 916 922 928 934 940 946 952 958 964 970 976 982 988 994 1000 1006 1012 1018 1024 1030 1036 1042 1048 1054 1060 1066 1072 1075 1078 1081 1084 1087 1090 1096 1102 1108 1114 1120 1126 1132 1138 1144 1150 1156 1162 1168 1174 1180 1186 1192 1198 1204 1210 1216 1222 1228 1234 1240 1246 1252 1258 1264 1270 1273 1276 1279 1282 1285 1288 1291 1294 1297 1300 1303 1306 1308 1312 1316 1320 1324 1328 1332 1336 1340 1344 1348 1352 1356 1358 1360 1362 1364 1366 1368 % 46.88/47.10 1370. 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(e2)) (e5)) = (op (e4) (op (e2) (e5)))) /\ (((op (op (e4) (e3)) (e0)) = (op (e4) (op (e3) (e0)))) /\ (((op (op (e4) (e3)) (e1)) = (op (e4) (op (e3) (e1)))) /\ (((op (op (e4) (e3)) (e2)) = (op (e4) (op (e3) (e2)))) /\ (((op (op (e4) (e3)) (e3)) = (op (e4) (op (e3) (e3)))) /\ (((op (op (e4) (e3)) (e4)) = (op (e4) (op (e3) (e4)))) /\ (((op (op (e4) (e3)) (e5)) = (op (e4) (op (e3) (e5)))) /\ (((op (op (e4) (e4)) (e0)) = (op (e4) (op (e4) (e0)))) /\ (((op (op (e4) (e4)) (e1)) = (op (e4) (op (e4) (e1)))) /\ (((op (op (e4) (e4)) (e2)) = (op (e4) (op (e4) (e2)))) /\ (((op (op (e4) (e4)) (e3)) = (op (e4) (op (e4) (e3)))) /\ (((op (op (e4) (e4)) (e4)) = (op (e4) (op (e4) (e4)))) /\ (((op (op (e4) (e4)) (e5)) = (op (e4) (op (e4) (e5)))) /\ (((op (op (e4) (e5)) (e0)) = (op (e4) (op (e5) (e0)))) /\ (((op (op (e4) (e5)) (e1)) = (op (e4) (op (e5) (e1)))) /\ (((op (op (e4) (e5)) (e2)) = (op (e4) (op (e5) (e2)))) /\ (((op (op (e4) (e5)) (e3)) = (op (e4) (op (e5) (e3)))) /\ (((op (op (e4) (e5)) (e4)) = (op (e4) (op (e5) (e4)))) /\ (((op (op (e4) (e5)) (e5)) = (op (e4) (op (e5) (e5)))) /\ (((op (op (e5) (e0)) (e0)) = (op (e5) (op (e0) (e0)))) /\ (((op (op (e5) (e0)) (e1)) = (op (e5) (op (e0) (e1)))) /\ (((op (op (e5) (e0)) (e2)) = (op (e5) (op (e0) (e2)))) /\ (((op (op (e5) (e0)) (e3)) = (op (e5) (op (e0) (e3)))) /\ (((op (op (e5) (e0)) (e4)) = (op (e5) (op (e0) (e4)))) /\ (((op (op (e5) (e0)) (e5)) = (op (e5) (op (e0) (e5)))) /\ (((op (op (e5) (e1)) (e0)) = (op (e5) (op (e1) (e0)))) /\ (((op (op (e5) (e1)) (e1)) = (op (e5) (op (e1) (e1)))) /\ (((op (op (e5) (e1)) (e2)) = (op (e5) (op (e1) (e2)))) /\ (((op (op (e5) (e1)) (e3)) = (op (e5) (op (e1) (e3)))) /\ (((op (op (e5) (e1)) (e4)) = (op (e5) (op (e1) (e4)))) /\ (((op (op (e5) (e1)) (e5)) = (op (e5) (op (e1) (e5)))) /\ (((op (op (e5) (e2)) (e0)) = (op (e5) (op (e2) (e0)))) /\ (((op (op (e5) (e2)) (e1)) = (op (e5) (op (e2) (e1)))) /\ (((op (op (e5) (e2)) (e2)) = (op (e5) (op (e2) (e2)))) /\ (((op (op (e5) (e2)) (e3)) = (op (e5) (op 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/\ (((op (op (e5) (e5)) (e3)) = (op (e5) (op (e5) (e3)))) /\ (((op (op (e5) (e5)) (e4)) = (op (e5) (op (e5) (e4)))) /\ (((op (op (e5) (e5)) (e5)) = (op (e5) (op (e5) (e5)))) /\ (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) (e3)) = (e3)) /\ (((op (e3) (unit)) = (e3)) /\ (((op (unit) (e4)) = (e4)) /\ (((op (e4) (unit)) = (e4)) /\ (((op (unit) (e5)) = (e5)) /\ (((op (e5) (unit)) = (e5)) /\ ((((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ (((unit) = (e4)) \/ ((unit) = (e5))))))) /\ (((op (e0) (inv (e0))) = (unit)) /\ (((op (inv (e0)) (e0)) = (unit)) /\ (((op (e1) (inv (e1))) = (unit)) /\ (((op (inv (e1)) (e1)) = (unit)) /\ (((op (e2) (inv (e2))) = (unit)) /\ (((op (inv (e2)) (e2)) = (unit)) /\ (((op (e3) (inv (e3))) = (unit)) /\ (((op (inv (e3)) (e3)) = (unit)) /\ (((op (e4) (inv (e4))) = (unit)) /\ (((op (inv (e4)) (e4)) = (unit)) /\ (((op (e5) (inv (e5))) = (unit)) /\ (((op (inv (e5)) (e5)) = (unit)) /\ ((((inv (e0)) = (e0)) \/ (((inv (e0)) = (e1)) \/ (((inv (e0)) = (e2)) \/ (((inv (e0)) = (e3)) \/ (((inv (e0)) = (e4)) \/ ((inv (e0)) = (e5))))))) /\ ((((inv (e1)) = (e0)) \/ (((inv (e1)) = (e1)) \/ (((inv (e1)) = (e2)) \/ (((inv (e1)) = (e3)) \/ (((inv (e1)) = (e4)) \/ ((inv (e1)) = (e5))))))) /\ ((((inv (e2)) = (e0)) \/ (((inv (e2)) = (e1)) \/ (((inv (e2)) = (e2)) \/ (((inv (e2)) = (e3)) \/ (((inv (e2)) = (e4)) \/ ((inv (e2)) = (e5))))))) /\ ((((inv (e3)) = (e0)) \/ (((inv (e3)) = (e1)) \/ (((inv (e3)) = (e2)) \/ (((inv (e3)) = (e3)) \/ (((inv (e3)) = (e4)) \/ ((inv (e3)) = (e5))))))) /\ ((((inv (e4)) = (e0)) \/ (((inv (e4)) = (e1)) \/ (((inv (e4)) = (e2)) \/ (((inv (e4)) = (e3)) \/ (((inv (e4)) = (e4)) \/ ((inv (e4)) = (e5))))))) /\ (((inv (e5)) = (e0)) \/ (((inv (e5)) = (e1)) \/ (((inv (e5)) = (e2)) \/ (((inv (e5)) = (e3)) \/ (((inv (e5)) = (e4)) \/ ((inv (e5)) = 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(((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e0) != (e5)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e1) != (e5)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ (((e2) != (e5)) /\ (((e3) != (e4)) /\ (((e3) != (e5)) /\ ((e4) != (e5)))))))))))))))) (((inv (e0)) = (e0)) /\ (((inv (e1)) = (e1)) /\ (((inv (e2)) = (e2)) /\ (((inv (e3)) = (e4)) /\ (((inv (e4)) = (e3)) /\ ((inv (e5)) = (e5))))))) ((unit) = (e0)) (-. ((-. 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(op (e4) (op (e5) (e4)))) /\ (((op (op (e4) (e5)) (e5)) = (op (e4) (op (e5) (e5)))) /\ (((op (op (e5) (e0)) (e0)) = (op (e5) (op (e0) (e0)))) /\ (((op (op (e5) (e0)) (e1)) = (op (e5) (op (e0) (e1)))) /\ (((op (op (e5) (e0)) (e2)) = (op (e5) (op (e0) (e2)))) /\ (((op (op (e5) (e0)) (e3)) = (op (e5) (op (e0) (e3)))) /\ (((op (op (e5) (e0)) (e4)) = (op (e5) (op (e0) (e4)))) /\ (((op (op (e5) (e0)) (e5)) = (op (e5) (op (e0) (e5)))) /\ (((op (op (e5) (e1)) (e0)) = (op (e5) (op (e1) (e0)))) /\ (((op (op (e5) (e1)) (e1)) = (op (e5) (op (e1) (e1)))) /\ (((op (op (e5) (e1)) (e2)) = (op (e5) (op (e1) (e2)))) /\ (((op (op (e5) (e1)) (e3)) = (op (e5) (op (e1) (e3)))) /\ (((op (op (e5) (e1)) (e4)) = (op (e5) (op (e1) (e4)))) /\ (((op (op (e5) (e1)) (e5)) = (op (e5) (op (e1) (e5)))) /\ (((op (op (e5) (e2)) (e0)) = (op (e5) (op (e2) (e0)))) /\ (((op (op (e5) (e2)) (e1)) = (op (e5) (op (e2) (e1)))) /\ (((op (op (e5) (e2)) (e2)) = (op (e5) (op (e2) (e2)))) /\ (((op (op (e5) (e2)) (e3)) = (op (e5) (op 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/\ (((op (op (e5) (e5)) (e3)) = (op (e5) (op (e5) (e3)))) /\ (((op (op (e5) (e5)) (e4)) = (op (e5) (op (e5) (e4)))) /\ (((op (op (e5) (e5)) (e5)) = (op (e5) (op (e5) (e5)))) /\ (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) (e3)) = (e3)) /\ (((op (e3) (unit)) = (e3)) /\ (((op (unit) (e4)) = (e4)) /\ (((op (e4) (unit)) = (e4)) /\ (((op (unit) (e5)) = (e5)) /\ (((op (e5) (unit)) = (e5)) /\ ((((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ (((unit) = (e4)) \/ ((unit) = (e5))))))) /\ (((op (e0) (inv (e0))) = (unit)) /\ (((op (inv (e0)) (e0)) = (unit)) /\ (((op (e1) (inv (e1))) = (unit)) /\ (((op (inv (e1)) (e1)) = (unit)) /\ (((op (e2) (inv (e2))) = (unit)) /\ (((op (inv (e2)) (e2)) = (unit)) /\ (((op (e3) (inv (e3))) = (unit)) /\ (((op (inv (e3)) (e3)) = (unit)) /\ (((op (e4) (inv (e4))) = (unit)) /\ (((op (inv (e4)) (e4)) = (unit)) /\ (((op (e5) (inv (e5))) = (unit)) /\ (((op (inv (e5)) (e5)) = (unit)) /\ ((((inv (e0)) = (e0)) \/ (((inv (e0)) = (e1)) \/ (((inv (e0)) = (e2)) \/ (((inv (e0)) = (e3)) \/ (((inv (e0)) = (e4)) \/ ((inv (e0)) = (e5))))))) /\ ((((inv (e1)) = (e0)) \/ (((inv (e1)) = (e1)) \/ (((inv (e1)) = (e2)) \/ (((inv (e1)) = (e3)) \/ (((inv (e1)) = (e4)) \/ ((inv (e1)) = (e5))))))) /\ ((((inv (e2)) = (e0)) \/ (((inv (e2)) = (e1)) \/ (((inv (e2)) = (e2)) \/ (((inv (e2)) = (e3)) \/ (((inv (e2)) = (e4)) \/ ((inv (e2)) = (e5))))))) /\ ((((inv (e3)) = (e0)) \/ (((inv (e3)) = (e1)) \/ (((inv (e3)) = (e2)) \/ (((inv (e3)) = (e3)) \/ (((inv (e3)) = (e4)) \/ ((inv (e3)) = (e5))))))) /\ ((((inv (e4)) = (e0)) \/ (((inv (e4)) = (e1)) \/ (((inv (e4)) = (e2)) \/ (((inv (e4)) = (e3)) \/ (((inv (e4)) = (e4)) \/ ((inv (e4)) = (e5))))))) /\ (((inv (e5)) = (e0)) \/ (((inv (e5)) = (e1)) \/ (((inv (e5)) = (e2)) \/ (((inv (e5)) = (e3)) \/ (((inv (e5)) = (e4)) \/ ((inv (e5)) = (e5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e4)) = (e4)) /\ (((op (e0) (e5)) = (e5)) /\ (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e1) (e2)) = (e3)) /\ (((op (e1) (e3)) = (e2)) /\ (((op (e1) (e4)) = (e5)) /\ (((op (e1) (e5)) = (e4)) /\ (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e1)) = (e4)) /\ (((op (e2) (e2)) = (e0)) /\ (((op (e2) (e3)) = (e5)) /\ (((op (e2) (e4)) = (e1)) /\ (((op (e2) (e5)) = (e3)) /\ (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e1)) = (e5)) /\ (((op (e3) (e2)) = (e1)) /\ (((op (e3) (e3)) = (e4)) /\ (((op (e3) (e4)) = (e0)) /\ (((op (e3) (e5)) = (e2)) /\ (((op (e4) (e0)) = (e4)) /\ (((op (e4) (e1)) = (e2)) /\ (((op (e4) (e2)) = (e5)) /\ (((op (e4) (e3)) = (e0)) /\ (((op (e4) (e4)) = (e3)) /\ (((op (e4) (e5)) = (e1)) /\ (((op (e5) (e0)) = (e5)) /\ (((op (e5) (e1)) = (e3)) /\ (((op (e5) (e2)) = (e4)) /\ (((op (e5) (e3)) = (e1)) /\ (((op (e5) (e4)) = (e2)) /\ ((op (e5) (e5)) = (e0))))))))))))))))))))))))))))))))))))) ### ConjTree 1371 % 46.88/47.10 % SZS output end Proof % 46.88/47.10 (* END-PROOF *) %------------------------------------------------------------------------------