TSTP Solution File: LCL650+1.001 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n020.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 : Sun Jul 17 14:52:23 EDT 2022
% Result : Theorem 0.36s 0.58s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 10:34:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/0.58 % SZS status Theorem
% 0.36/0.58 (* PROOF-FOUND *)
% 0.36/0.58 (* BEGIN-PROOF *)
% 0.36/0.58 % SZS output start Proof
% 0.36/0.58 1. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.36/0.58 2. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 0.36/0.58 3. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 0.36/0.58 4. (r1 T_3 T_4) (-. (r1 T_3 T_4)) ### Axiom
% 0.36/0.58 5. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.36/0.58 6. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 0.36/0.58 7. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 0.36/0.58 8. (r1 T_3 T_4) (-. (r1 T_3 T_4)) ### Axiom
% 0.36/0.58 9. (p2 T_4) (-. (p2 T_4)) ### Axiom
% 0.36/0.58 10. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.36/0.58 11. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 0.36/0.58 12. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 0.36/0.58 13. (r1 T_3 T_4) (-. (r1 T_3 T_4)) ### Axiom
% 0.36/0.58 14. (p3 T_4) (-. (p3 T_4)) ### Axiom
% 0.36/0.58 15. (p2 T_4) (-. (p2 T_4)) ### Axiom
% 0.36/0.58 16. (-. ((p3 T_4) /\ (p2 T_4))) (p2 T_4) (p3 T_4) ### NotAnd 14 15
% 0.36/0.58 17. (-. (-. (p3 T_4))) (p2 T_4) (-. ((p3 T_4) /\ (p2 T_4))) ### NotNot 16
% 0.36/0.58 18. (-. (p1 T_4)) (p1 T_4) ### Axiom
% 0.36/0.58 19. (-. (-. (p1 T_4))) (-. (p1 T_4)) ### NotNot 18
% 0.36/0.58 20. (-. ((-. (p3 T_4)) /\ (-. (p1 T_4)))) (-. (p1 T_4)) (-. ((p3 T_4) /\ (p2 T_4))) (p2 T_4) ### NotAnd 17 19
% 0.36/0.58 21. (-. (((-. (p3 T_4)) /\ (-. (p1 T_4))) \/ ((p1 T_4) /\ (p3 T_4)))) (p2 T_4) (-. ((p3 T_4) /\ (p2 T_4))) (-. (p1 T_4)) ### NotOr 20
% 0.36/0.58 22. ((-. (r1 T_3 T_4)) \/ (-. (((-. (p3 T_4)) /\ (-. (p1 T_4))) \/ ((p1 T_4) /\ (p3 T_4))))) (-. (p1 T_4)) (-. ((p3 T_4) /\ (p2 T_4))) (p2 T_4) (r1 T_3 T_4) ### Or 13 21
% 0.36/0.58 23. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X)))))) (r1 T_3 T_4) (p2 T_4) (-. ((p3 T_4) /\ (p2 T_4))) (-. (p1 T_4)) ### All 22
% 0.36/0.58 24. ((-. (r1 T_2 T_3)) \/ (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))) (-. (p1 T_4)) (-. ((p3 T_4) /\ (p2 T_4))) (p2 T_4) (r1 T_3 T_4) (r1 T_2 T_3) ### Or 12 23
% 0.36/0.58 25. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X)))))))) (r1 T_2 T_3) (r1 T_3 T_4) (p2 T_4) (-. ((p3 T_4) /\ (p2 T_4))) (-. (p1 T_4)) ### All 24
% 0.36/0.58 26. ((-. (r1 T_1 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))) (-. (p1 T_4)) (-. ((p3 T_4) /\ (p2 T_4))) (p2 T_4) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) ### Or 11 25
% 0.36/0.58 27. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X)))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (p2 T_4) (-. ((p3 T_4) /\ (p2 T_4))) (-. (p1 T_4)) ### All 26
% 0.36/0.58 28. (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))) (-. (p1 T_4)) (-. ((p3 T_4) /\ (p2 T_4))) (p2 T_4) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) ### ConjTree 27
% 0.36/0.58 29. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (p2 T_4) (-. ((p3 T_4) /\ (p2 T_4))) (-. (p1 T_4)) (r1 T_0 T_1) ### Or 10 28
% 0.36/0.58 30. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (-. (p1 T_4)) (-. ((p3 T_4) /\ (p2 T_4))) (p2 T_4) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) ### All 29
% 0.36/0.58 31. (-. ((p2 T_4) /\ (p1 T_4))) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (p2 T_4) ### NotAnd 9 30
% 0.36/0.58 32. (-. (((-. (p1 T_4)) /\ (-. (p2 T_4))) \/ ((p2 T_4) /\ (p1 T_4)))) (p2 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) ### NotOr 31
% 0.36/0.58 33. ((-. (r1 T_3 T_4)) \/ (-. (((-. (p1 T_4)) /\ (-. (p2 T_4))) \/ ((p2 T_4) /\ (p1 T_4))))) (r1 T_1 T_2) (r1 T_2 T_3) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (p2 T_4) (r1 T_3 T_4) ### Or 8 32
% 0.36/0.58 34. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))) (r1 T_3 T_4) (p2 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_2 T_3) (r1 T_1 T_2) ### All 33
% 0.36/0.58 35. (-. (-. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))) (r1 T_1 T_2) (r1 T_2 T_3) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (p2 T_4) (r1 T_3 T_4) ### NotNot 34
% 0.36/0.59 36. ((-. (r1 T_2 T_3)) \/ (-. (-. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))) (r1 T_3 T_4) (p2 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_1 T_2) (r1 T_2 T_3) ### Or 7 35
% 0.36/0.59 37. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))) (r1 T_2 T_3) (r1 T_1 T_2) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (p2 T_4) (r1 T_3 T_4) ### All 36
% 0.36/0.59 38. (-. ((-. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 T_2 Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (r1 T_3 T_4) (p2 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_1 T_2) (r1 T_2 T_3) ### ConjTree 37
% 0.36/0.59 39. ((-. (r1 T_1 T_2)) \/ (-. ((-. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 T_2 Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))) (r1 T_2 T_3) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (p2 T_4) (r1 T_3 T_4) (r1 T_1 T_2) ### Or 6 38
% 0.36/0.59 40. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))) (r1 T_1 T_2) (r1 T_3 T_4) (p2 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_2 T_3) ### All 39
% 0.36/0.59 41. (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))) (r1 T_2 T_3) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (p2 T_4) (r1 T_3 T_4) (r1 T_1 T_2) ### ConjTree 40
% 0.36/0.59 42. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))) (r1 T_1 T_2) (r1 T_3 T_4) (p2 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_2 T_3) (r1 T_0 T_1) ### Or 5 41
% 0.36/0.59 43. (r1 T_0 T_1) (r1 T_2 T_3) (-. ((p3 T_4) /\ (p2 T_4))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (p2 T_4) (r1 T_3 T_4) (r1 T_1 T_2) ### All 42
% 0.36/0.59 44. (-. (-. (p2 T_4))) (r1 T_1 T_2) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_2 T_3) (r1 T_0 T_1) ### NotNot 43
% 0.36/0.60 45. (p3 T_4) (-. (p3 T_4)) ### Axiom
% 0.36/0.60 46. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.36/0.60 47. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 0.36/0.60 48. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 0.36/0.60 49. (r1 T_3 T_4) (-. (r1 T_3 T_4)) ### Axiom
% 0.36/0.60 50. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.36/0.60 51. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 0.36/0.60 52. (r1 T_2 T_3) (-. (r1 T_2 T_3)) ### Axiom
% 0.36/0.60 53. (r1 T_3 T_4) (-. (r1 T_3 T_4)) ### Axiom
% 0.36/0.60 54. (-. (p2 T_4)) (p2 T_4) ### Axiom
% 0.36/0.60 55. (-. (-. (p2 T_4))) (-. (p2 T_4)) ### NotNot 54
% 0.36/0.60 56. (-. ((-. (p1 T_4)) /\ (-. (p2 T_4)))) (-. (p2 T_4)) (-. (p1 T_4)) ### NotAnd 19 55
% 0.36/0.60 57. (-. (((-. (p1 T_4)) /\ (-. (p2 T_4))) \/ ((p2 T_4) /\ (p1 T_4)))) (-. (p1 T_4)) (-. (p2 T_4)) ### NotOr 56
% 0.36/0.60 58. ((-. (r1 T_3 T_4)) \/ (-. (((-. (p1 T_4)) /\ (-. (p2 T_4))) \/ ((p2 T_4) /\ (p1 T_4))))) (-. (p2 T_4)) (-. (p1 T_4)) (r1 T_3 T_4) ### Or 53 57
% 0.36/0.60 59. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))) (r1 T_3 T_4) (-. (p1 T_4)) (-. (p2 T_4)) ### All 58
% 0.36/0.60 60. (-. (-. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))) (-. (p2 T_4)) (-. (p1 T_4)) (r1 T_3 T_4) ### NotNot 59
% 0.36/0.60 61. ((-. (r1 T_2 T_3)) \/ (-. (-. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))) (r1 T_3 T_4) (-. (p1 T_4)) (-. (p2 T_4)) (r1 T_2 T_3) ### Or 52 60
% 0.36/0.60 62. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))) (r1 T_2 T_3) (-. (p2 T_4)) (-. (p1 T_4)) (r1 T_3 T_4) ### All 61
% 0.36/0.60 63. (-. ((-. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 T_2 Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (r1 T_3 T_4) (-. (p1 T_4)) (-. (p2 T_4)) (r1 T_2 T_3) ### ConjTree 62
% 0.36/0.60 64. ((-. (r1 T_1 T_2)) \/ (-. ((-. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 T_2 Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))) (r1 T_2 T_3) (-. (p2 T_4)) (-. (p1 T_4)) (r1 T_3 T_4) (r1 T_1 T_2) ### Or 51 63
% 0.36/0.60 65. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))) (r1 T_1 T_2) (r1 T_3 T_4) (-. (p1 T_4)) (-. (p2 T_4)) (r1 T_2 T_3) ### All 64
% 0.36/0.60 66. (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))) (r1 T_2 T_3) (-. (p2 T_4)) (-. (p1 T_4)) (r1 T_3 T_4) (r1 T_1 T_2) ### ConjTree 65
% 0.36/0.60 67. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))) (r1 T_1 T_2) (r1 T_3 T_4) (-. (p1 T_4)) (-. (p2 T_4)) (r1 T_2 T_3) (r1 T_0 T_1) ### Or 50 66
% 0.36/0.60 68. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (r1 T_2 T_3) (-. (p2 T_4)) (-. (p1 T_4)) (r1 T_3 T_4) (r1 T_1 T_2) ### All 67
% 0.36/0.60 69. (p3 T_4) (-. (p3 T_4)) ### Axiom
% 0.36/0.60 70. (-. ((p1 T_4) /\ (p3 T_4))) (p3 T_4) (r1 T_1 T_2) (r1 T_3 T_4) (-. (p2 T_4)) (r1 T_2 T_3) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) ### NotAnd 68 69
% 0.36/0.60 71. (-. (((-. (p3 T_4)) /\ (-. (p1 T_4))) \/ ((p1 T_4) /\ (p3 T_4)))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (r1 T_2 T_3) (-. (p2 T_4)) (r1 T_3 T_4) (r1 T_1 T_2) (p3 T_4) ### NotOr 70
% 0.36/0.60 72. ((-. (r1 T_3 T_4)) \/ (-. (((-. (p3 T_4)) /\ (-. (p1 T_4))) \/ ((p1 T_4) /\ (p3 T_4))))) (p3 T_4) (r1 T_1 T_2) (-. (p2 T_4)) (r1 T_2 T_3) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_3 T_4) ### Or 49 71
% 0.36/0.60 73. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X)))))) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (r1 T_2 T_3) (-. (p2 T_4)) (r1 T_1 T_2) (p3 T_4) ### All 72
% 0.36/0.60 74. ((-. (r1 T_2 T_3)) \/ (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))) (p3 T_4) (r1 T_1 T_2) (-. (p2 T_4)) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_3 T_4) (r1 T_2 T_3) ### Or 48 73
% 0.36/0.61 75. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X)))))))) (r1 T_2 T_3) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (-. (p2 T_4)) (r1 T_1 T_2) (p3 T_4) ### All 74
% 0.36/0.61 76. ((-. (r1 T_1 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))) (p3 T_4) (-. (p2 T_4)) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) ### Or 47 75
% 0.36/0.61 77. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X)))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (-. (p2 T_4)) (p3 T_4) ### All 76
% 0.36/0.61 78. (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))) (p3 T_4) (-. (p2 T_4)) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) ### ConjTree 77
% 0.36/0.61 79. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (-. (p2 T_4)) (p3 T_4) (r1 T_0 T_1) ### Or 46 78
% 0.36/0.61 80. (r1 T_0 T_1) (p3 T_4) (-. (p2 T_4)) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) ### All 79
% 0.36/0.61 81. (-. ((p3 T_4) /\ (p2 T_4))) (r1 T_1 T_2) (r1 T_2 T_3) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (p3 T_4) ### NotAnd 45 80
% 0.36/0.61 82. (-. (-. (p3 T_4))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_1 T_2) (-. ((p3 T_4) /\ (p2 T_4))) ### NotNot 81
% 0.36/0.61 83. (-. ((-. (p2 T_4)) /\ (-. (p3 T_4)))) (r1 T_0 T_1) (r1 T_2 T_3) (-. ((p3 T_4) /\ (p2 T_4))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_3 T_4) (r1 T_1 T_2) ### NotAnd 44 82
% 0.36/0.61 84. (-. (((-. (p2 T_4)) /\ (-. (p3 T_4))) \/ ((p3 T_4) /\ (p2 T_4)))) (r1 T_1 T_2) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_2 T_3) (r1 T_0 T_1) ### NotOr 83
% 0.36/0.61 85. ((-. (r1 T_3 T_4)) \/ (-. (((-. (p2 T_4)) /\ (-. (p3 T_4))) \/ ((p3 T_4) /\ (p2 T_4))))) (r1 T_0 T_1) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_1 T_2) (r1 T_3 T_4) ### Or 4 84
% 0.36/0.61 86. (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X)))))) (r1 T_3 T_4) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_2 T_3) (r1 T_0 T_1) ### All 85
% 0.36/0.61 87. ((-. (r1 T_2 T_3)) \/ (All X, ((-. (r1 T_3 X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_1 T_2) (r1 T_3 T_4) (r1 T_2 T_3) ### Or 3 86
% 0.36/0.61 88. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X)))))))) (r1 T_2 T_3) (r1 T_3 T_4) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) ### All 87
% 0.36/0.61 89. (-. ((-. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 T_2 Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_1 T_2) (r1 T_3 T_4) (r1 T_2 T_3) ### ConjTree 88
% 0.36/0.61 90. ((-. (r1 T_1 T_2)) \/ (-. ((-. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 T_2 Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))) (r1 T_2 T_3) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) ### Or 2 89
% 0.36/0.61 91. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_3 T_4) (r1 T_2 T_3) ### All 90
% 0.36/0.61 92. (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))) (r1 T_2 T_3) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) ### ConjTree 91
% 0.36/0.61 93. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 T_1 X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_3 T_4) (r1 T_2 T_3) (r1 T_0 T_1) ### Or 1 92
% 0.36/0.62 94. (r1 T_0 T_1) (r1 T_2 T_3) (r1 T_3 T_4) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_1 T_2) ### All 93
% 0.36/0.62 95. (-. (-. (r1 T_3 T_4))) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_2 T_3) (r1 T_0 T_1) ### NotNot 94
% 0.36/0.62 96. (-. ((-. (r1 T_3 T_4)) \/ ((-. (p8 T_4)) /\ ((-. (p6 T_4)) /\ ((-. (p4 T_4)) /\ (-. (p2 T_4))))))) (r1 T_0 T_1) (r1 T_2 T_3) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_1 T_2) ### NotOr 95
% 0.36/0.62 97. (-. (All X, ((-. (r1 T_3 X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X)))))))) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_2 T_3) (r1 T_0 T_1) ### NotAllEx 96
% 0.36/0.62 98. (-. (-. (r1 T_2 T_3))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_1 T_2) (-. (All X, ((-. (r1 T_3 X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X)))))))) ### NotNot 97
% 0.36/0.62 99. (-. ((-. (r1 T_2 T_3)) \/ (All X, ((-. (r1 T_3 X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X))))))))) (r1 T_1 T_2) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) ### NotOr 98
% 0.36/0.62 100. (-. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X)))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_1 T_2) ### NotAllEx 99
% 0.36/0.62 101. (-. (-. (r1 T_1 T_2))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) (-. (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X)))))))))) ### NotNot 100
% 0.36/0.62 102. (-. ((-. (r1 T_1 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X))))))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) ### NotOr 101
% 0.36/0.62 103. (-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X)))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (r1 T_0 T_1) ### NotAllEx 102
% 0.36/0.62 104. (-. (-. (r1 T_0 T_1))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) (-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X)))))))))))) ### NotNot 103
% 0.36/0.62 105. (-. ((-. (r1 T_0 T_1)) \/ (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) ### NotOr 104
% 0.36/0.62 106. (-. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X)))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X)))))))))))))))))))))) ### NotAllEx 105
% 0.36/0.62 107. (-. ((All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X))))))))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p5 Y))) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))) \/ (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X)))))))))))))))) ### ConjTree 106
% 0.36/0.62 108. (Ex X, (-. ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X))))))))))))))))) ### Exists 107
% 0.36/0.62 109. (-. (-. (Ex X, (-. ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((-. (p8 X)) /\ ((-. (p6 X)) /\ ((-. (p4 X)) /\ (-. (p2 X))))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p5 Y))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p3 X)) /\ (-. (p1 X))) \/ ((p1 X) /\ (p3 X))))))))))) \/ ((All X, ((-. (r1 Y X)) \/ (p4 X))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (((-. (p2 X)) /\ (-. (p3 X))) \/ ((p3 X) /\ (p2 X))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (-. (All X, ((-. (r1 Y X)) \/ (-. (((-. (p1 X)) /\ (-. (p2 X))) \/ ((p2 X) /\ (p1 X))))))))))))))))))))))) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ ((p4 X) /\ ((p3 X) /\ ((p2 X) /\ (p1 X))))))))))))))))))) ### NotNot 108
% 0.36/0.62 % SZS output end Proof
% 0.36/0.62 (* END-PROOF *)
%------------------------------------------------------------------------------