TSTP Solution File: LCL686+1.005 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LCL686+1.005 : 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 : n012.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 14:53:15 EDT 2022
% Result : Theorem 0.16s 0.57s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.31 % Computer : n012.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Mon Jul 4 10:40:46 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.16/0.57 % SZS status Theorem
% 0.16/0.57 (* PROOF-FOUND *)
% 0.16/0.57 (* BEGIN-PROOF *)
% 0.16/0.57 % SZS output start Proof
% 0.16/0.57 1. (-. (r1 T_0 T_0)) ### Extension/test/reflexivity
% 0.16/0.57 2. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.16/0.57 3. (p2 T_1) (-. (p2 T_1)) ### Axiom
% 0.16/0.57 4. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.16/0.57 5. (p2 T_1) (-. (p2 T_1)) ### Axiom
% 0.16/0.57 6. (-. (p1 T_1)) (p1 T_1) ### Axiom
% 0.16/0.57 7. (-. (-. (p1 T_1))) (-. (p1 T_1)) ### NotNot 6
% 0.16/0.57 8. (-. ((p2 T_1) /\ (-. (p1 T_1)))) (-. (p1 T_1)) (p2 T_1) ### NotAnd 5 7
% 0.16/0.57 9. (-. (((p2 T_1) /\ (-. (p1 T_1))) \/ ((-. (p2 T_1)) /\ (p1 T_1)))) (p2 T_1) (-. (p1 T_1)) ### NotOr 8
% 0.16/0.57 10. ((-. (r1 T_0 T_1)) \/ (-. (((p2 T_1) /\ (-. (p1 T_1))) \/ ((-. (p2 T_1)) /\ (p1 T_1))))) (-. (p1 T_1)) (p2 T_1) (r1 T_0 T_1) ### Or 4 9
% 0.16/0.57 11. (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) (r1 T_0 T_1) (p2 T_1) (-. (p1 T_1)) ### All 10
% 0.16/0.57 12. (-. ((p2 T_1) /\ (p1 T_1))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) (p2 T_1) ### NotAnd 3 11
% 0.16/0.57 13. (-. (-. (p2 T_1))) (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) (r1 T_0 T_1) (-. ((p2 T_1) /\ (p1 T_1))) ### NotNot 12
% 0.16/0.57 14. (p1 T_1) (-. (p1 T_1)) ### Axiom
% 0.16/0.57 15. (-. ((-. (p2 T_1)) /\ (p1 T_1))) (p1 T_1) (-. ((p2 T_1) /\ (p1 T_1))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) ### NotAnd 13 14
% 0.16/0.57 16. (-. (((p2 T_1) /\ (-. (p1 T_1))) \/ ((-. (p2 T_1)) /\ (p1 T_1)))) (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) (r1 T_0 T_1) (-. ((p2 T_1) /\ (p1 T_1))) (p1 T_1) ### NotOr 15
% 0.16/0.57 17. ((-. (r1 T_0 T_1)) \/ (-. (((p2 T_1) /\ (-. (p1 T_1))) \/ ((-. (p2 T_1)) /\ (p1 T_1))))) (p1 T_1) (-. ((p2 T_1) /\ (p1 T_1))) (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) (r1 T_0 T_1) ### Or 2 16
% 0.16/0.57 18. (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) (-. ((p2 T_1) /\ (p1 T_1))) (p1 T_1) ### All 17
% 0.16/0.57 19. (-. (-. (p1 T_1))) (-. ((p2 T_1) /\ (p1 T_1))) (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) (r1 T_0 T_1) ### NotNot 18
% 0.16/0.57 20. (-. ((-. (p1 T_1)) /\ (-. (p2 T_1)))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) (-. ((p2 T_1) /\ (p1 T_1))) ### NotAnd 19 13
% 0.16/0.57 21. (-. ((-. (r1 T_0 T_1)) \/ (((-. (p13 T_1)) /\ (-. (p14 T_1))) \/ (((p14 T_1) /\ (p13 T_1)) \/ (((-. (p12 T_1)) /\ (-. (p13 T_1))) \/ (((p13 T_1) /\ (p12 T_1)) \/ (((-. (p11 T_1)) /\ (-. (p12 T_1))) \/ (((p12 T_1) /\ (p11 T_1)) \/ (((-. (p10 T_1)) /\ (-. (p11 T_1))) \/ (((p11 T_1) /\ (p10 T_1)) \/ (((-. (p9 T_1)) /\ (-. (p10 T_1))) \/ (((p10 T_1) /\ (p9 T_1)) \/ (((-. (p8 T_1)) /\ (-. (p9 T_1))) \/ (((p9 T_1) /\ (p8 T_1)) \/ (((-. (p7 T_1)) /\ (-. (p8 T_1))) \/ (((p8 T_1) /\ (p7 T_1)) \/ (((-. (p6 T_1)) /\ (-. (p7 T_1))) \/ (((p7 T_1) /\ (p6 T_1)) \/ (((-. (p5 T_1)) /\ (-. (p6 T_1))) \/ (((p6 T_1) /\ (p5 T_1)) \/ (((-. (p4 T_1)) /\ (-. (p5 T_1))) \/ (((p5 T_1) /\ (p4 T_1)) \/ (((-. (p3 T_1)) /\ (-. (p4 T_1))) \/ (((p4 T_1) /\ (p3 T_1)) \/ (((-. (p2 T_1)) /\ (-. (p3 T_1))) \/ (((p3 T_1) /\ (p2 T_1)) \/ (((-. (p1 T_1)) /\ (-. (p2 T_1))) \/ ((p2 T_1) /\ (p1 T_1))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) ### ConjTree 20
% 0.16/0.57 22. (-. (All Y, ((-. (r1 T_0 Y)) \/ (((-. (p13 Y)) /\ (-. (p14 Y))) \/ (((p14 Y) /\ (p13 Y)) \/ (((-. (p12 Y)) /\ (-. (p13 Y))) \/ (((p13 Y) /\ (p12 Y)) \/ (((-. (p11 Y)) /\ (-. (p12 Y))) \/ (((p12 Y) /\ (p11 Y)) \/ (((-. (p10 Y)) /\ (-. (p11 Y))) \/ (((p11 Y) /\ (p10 Y)) \/ (((-. (p9 Y)) /\ (-. (p10 Y))) \/ (((p10 Y) /\ (p9 Y)) \/ (((-. (p8 Y)) /\ (-. (p9 Y))) \/ (((p9 Y) /\ (p8 Y)) \/ (((-. (p7 Y)) /\ (-. (p8 Y))) \/ (((p8 Y) /\ (p7 Y)) \/ (((-. (p6 Y)) /\ (-. (p7 Y))) \/ (((p7 Y) /\ (p6 Y)) \/ (((-. (p5 Y)) /\ (-. (p6 Y))) \/ (((p6 Y) /\ (p5 Y)) \/ (((-. (p4 Y)) /\ (-. (p5 Y))) \/ (((p5 Y) /\ (p4 Y)) \/ (((-. (p3 Y)) /\ (-. (p4 Y))) \/ (((p4 Y) /\ (p3 Y)) \/ (((-. (p2 Y)) /\ (-. (p3 Y))) \/ (((p3 Y) /\ (p2 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y)))))))))))))))))))))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y)))))) ### NotAllEx 21
% 0.16/0.57 23. (-. ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ False)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p14 Y) /\ (-. (p13 Y))) \/ ((-. (p14 Y)) /\ (p13 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p13 X) /\ (-. (p12 X))) \/ ((-. (p13 X)) /\ (p12 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p12 Y) /\ (-. (p11 Y))) \/ ((-. (p12 Y)) /\ (p11 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p11 X) /\ (-. (p10 X))) \/ ((-. (p11 X)) /\ (p10 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p10 Y) /\ (-. (p9 Y))) \/ ((-. (p10 Y)) /\ (p9 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p9 X) /\ (-. (p8 X))) \/ ((-. (p9 X)) /\ (p8 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p8 Y) /\ (-. (p7 Y))) \/ ((-. (p8 Y)) /\ (p7 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p7 X) /\ (-. (p6 X))) \/ ((-. (p7 X)) /\ (p6 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p6 Y) /\ (-. (p5 Y))) \/ ((-. (p6 Y)) /\ (p5 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p5 X) /\ (-. (p4 X))) \/ ((-. (p5 X)) /\ (p4 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p4 Y) /\ (-. (p3 Y))) \/ ((-. (p4 Y)) /\ (p3 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p3 X) /\ (-. (p2 X))) \/ ((-. (p3 X)) /\ (p2 X)))))))))) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p15 Y))) \/ (All Y, ((-. (r1 T_0 Y)) \/ (((-. (p13 Y)) /\ (-. (p14 Y))) \/ (((p14 Y) /\ (p13 Y)) \/ (((-. (p12 Y)) /\ (-. (p13 Y))) \/ (((p13 Y) /\ (p12 Y)) \/ (((-. (p11 Y)) /\ (-. (p12 Y))) \/ (((p12 Y) /\ (p11 Y)) \/ (((-. (p10 Y)) /\ (-. (p11 Y))) \/ (((p11 Y) /\ (p10 Y)) \/ (((-. (p9 Y)) /\ (-. (p10 Y))) \/ (((p10 Y) /\ (p9 Y)) \/ (((-. (p8 Y)) /\ (-. (p9 Y))) \/ (((p9 Y) /\ (p8 Y)) \/ (((-. (p7 Y)) /\ (-. (p8 Y))) \/ (((p8 Y) /\ (p7 Y)) \/ (((-. (p6 Y)) /\ (-. (p7 Y))) \/ (((p7 Y) /\ (p6 Y)) \/ (((-. (p5 Y)) /\ (-. (p6 Y))) \/ (((p6 Y) /\ (p5 Y)) \/ (((-. (p4 Y)) /\ (-. (p5 Y))) \/ (((p5 Y) /\ (p4 Y)) \/ (((-. (p3 Y)) /\ (-. (p4 Y))) \/ (((p4 Y) /\ (p3 Y)) \/ (((-. (p2 Y)) /\ (-. (p3 Y))) \/ (((p3 Y) /\ (p2 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))))))))))))))))))))))))) ### ConjTree 22
% 0.16/0.57 24. ((-. (r1 T_0 T_0)) \/ (-. ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ False)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p14 Y) /\ (-. (p13 Y))) \/ ((-. (p14 Y)) /\ (p13 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p13 X) /\ (-. (p12 X))) \/ ((-. (p13 X)) /\ (p12 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p12 Y) /\ (-. (p11 Y))) \/ ((-. (p12 Y)) /\ (p11 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p11 X) /\ (-. (p10 X))) \/ ((-. (p11 X)) /\ (p10 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p10 Y) /\ (-. (p9 Y))) \/ ((-. (p10 Y)) /\ (p9 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p9 X) /\ (-. (p8 X))) \/ ((-. (p9 X)) /\ (p8 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p8 Y) /\ (-. (p7 Y))) \/ ((-. (p8 Y)) /\ (p7 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p7 X) /\ (-. (p6 X))) \/ ((-. (p7 X)) /\ (p6 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p6 Y) /\ (-. (p5 Y))) \/ ((-. (p6 Y)) /\ (p5 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p5 X) /\ (-. (p4 X))) \/ ((-. (p5 X)) /\ (p4 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p4 Y) /\ (-. (p3 Y))) \/ ((-. (p4 Y)) /\ (p3 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p3 X) /\ (-. (p2 X))) \/ ((-. (p3 X)) /\ (p2 X)))))))))) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p15 Y))) \/ (All Y, ((-. (r1 T_0 Y)) \/ (((-. (p13 Y)) /\ (-. (p14 Y))) \/ (((p14 Y) /\ (p13 Y)) \/ (((-. (p12 Y)) /\ (-. (p13 Y))) \/ (((p13 Y) /\ (p12 Y)) \/ (((-. (p11 Y)) /\ (-. (p12 Y))) \/ (((p12 Y) /\ (p11 Y)) \/ (((-. (p10 Y)) /\ (-. (p11 Y))) \/ (((p11 Y) /\ (p10 Y)) \/ (((-. (p9 Y)) /\ (-. (p10 Y))) \/ (((p10 Y) /\ (p9 Y)) \/ (((-. (p8 Y)) /\ (-. (p9 Y))) \/ (((p9 Y) /\ (p8 Y)) \/ (((-. (p7 Y)) /\ (-. (p8 Y))) \/ (((p8 Y) /\ (p7 Y)) \/ (((-. (p6 Y)) /\ (-. (p7 Y))) \/ (((p7 Y) /\ (p6 Y)) \/ (((-. (p5 Y)) /\ (-. (p6 Y))) \/ (((p6 Y) /\ (p5 Y)) \/ (((-. (p4 Y)) /\ (-. (p5 Y))) \/ (((p5 Y) /\ (p4 Y)) \/ (((-. (p3 Y)) /\ (-. (p4 Y))) \/ (((p4 Y) /\ (p3 Y)) \/ (((-. (p2 Y)) /\ (-. (p3 Y))) \/ (((p3 Y) /\ (p2 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y)))))))))))))))))))))))))))))))))) ### Or 1 23
% 0.16/0.57 25. (All X, ((-. (r1 T_0 X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ False)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p14 Y) /\ (-. (p13 Y))) \/ ((-. (p14 Y)) /\ (p13 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p13 X) /\ (-. (p12 X))) \/ ((-. (p13 X)) /\ (p12 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p12 Y) /\ (-. (p11 Y))) \/ ((-. (p12 Y)) /\ (p11 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p11 X) /\ (-. (p10 X))) \/ ((-. (p11 X)) /\ (p10 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p10 Y) /\ (-. (p9 Y))) \/ ((-. (p10 Y)) /\ (p9 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p9 X) /\ (-. (p8 X))) \/ ((-. (p9 X)) /\ (p8 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p8 Y) /\ (-. (p7 Y))) \/ ((-. (p8 Y)) /\ (p7 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p7 X) /\ (-. (p6 X))) \/ ((-. (p7 X)) /\ (p6 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p6 Y) /\ (-. (p5 Y))) \/ ((-. (p6 Y)) /\ (p5 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p5 X) /\ (-. (p4 X))) \/ ((-. (p5 X)) /\ (p4 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p4 Y) /\ (-. (p3 Y))) \/ ((-. (p4 Y)) /\ (p3 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p3 X) /\ (-. (p2 X))) \/ ((-. (p3 X)) /\ (p2 X)))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p15 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p13 Y)) /\ (-. (p14 Y))) \/ (((p14 Y) /\ (p13 Y)) \/ (((-. (p12 Y)) /\ (-. (p13 Y))) \/ (((p13 Y) /\ (p12 Y)) \/ (((-. (p11 Y)) /\ (-. (p12 Y))) \/ (((p12 Y) /\ (p11 Y)) \/ (((-. (p10 Y)) /\ (-. (p11 Y))) \/ (((p11 Y) /\ (p10 Y)) \/ (((-. (p9 Y)) /\ (-. (p10 Y))) \/ (((p10 Y) /\ (p9 Y)) \/ (((-. (p8 Y)) /\ (-. (p9 Y))) \/ (((p9 Y) /\ (p8 Y)) \/ (((-. (p7 Y)) /\ (-. (p8 Y))) \/ (((p8 Y) /\ (p7 Y)) \/ (((-. (p6 Y)) /\ (-. (p7 Y))) \/ (((p7 Y) /\ (p6 Y)) \/ (((-. (p5 Y)) /\ (-. (p6 Y))) \/ (((p6 Y) /\ (p5 Y)) \/ (((-. (p4 Y)) /\ (-. (p5 Y))) \/ (((p5 Y) /\ (p4 Y)) \/ (((-. (p3 Y)) /\ (-. (p4 Y))) \/ (((p4 Y) /\ (p3 Y)) \/ (((-. (p2 Y)) /\ (-. (p3 Y))) \/ (((p3 Y) /\ (p2 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))))))))))))))))))))))))))) ### All 24
% 0.16/0.57 26. (-. (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ False)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p14 Y) /\ (-. (p13 Y))) \/ ((-. (p14 Y)) /\ (p13 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p13 X) /\ (-. (p12 X))) \/ ((-. (p13 X)) /\ (p12 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p12 Y) /\ (-. (p11 Y))) \/ ((-. (p12 Y)) /\ (p11 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p11 X) /\ (-. (p10 X))) \/ ((-. (p11 X)) /\ (p10 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p10 Y) /\ (-. (p9 Y))) \/ ((-. (p10 Y)) /\ (p9 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p9 X) /\ (-. (p8 X))) \/ ((-. (p9 X)) /\ (p8 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p8 Y) /\ (-. (p7 Y))) \/ ((-. (p8 Y)) /\ (p7 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p7 X) /\ (-. (p6 X))) \/ ((-. (p7 X)) /\ (p6 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p6 Y) /\ (-. (p5 Y))) \/ ((-. (p6 Y)) /\ (p5 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p5 X) /\ (-. (p4 X))) \/ ((-. (p5 X)) /\ (p4 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p4 Y) /\ (-. (p3 Y))) \/ ((-. (p4 Y)) /\ (p3 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p3 X) /\ (-. (p2 X))) \/ ((-. (p3 X)) /\ (p2 X)))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p15 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p13 Y)) /\ (-. (p14 Y))) \/ (((p14 Y) /\ (p13 Y)) \/ (((-. (p12 Y)) /\ (-. (p13 Y))) \/ (((p13 Y) /\ (p12 Y)) \/ (((-. (p11 Y)) /\ (-. (p12 Y))) \/ (((p12 Y) /\ (p11 Y)) \/ (((-. (p10 Y)) /\ (-. (p11 Y))) \/ (((p11 Y) /\ (p10 Y)) \/ (((-. (p9 Y)) /\ (-. (p10 Y))) \/ (((p10 Y) /\ (p9 Y)) \/ (((-. (p8 Y)) /\ (-. (p9 Y))) \/ (((p9 Y) /\ (p8 Y)) \/ (((-. (p7 Y)) /\ (-. (p8 Y))) \/ (((p8 Y) /\ (p7 Y)) \/ (((-. (p6 Y)) /\ (-. (p7 Y))) \/ (((p7 Y) /\ (p6 Y)) \/ (((-. (p5 Y)) /\ (-. (p6 Y))) \/ (((p6 Y) /\ (p5 Y)) \/ (((-. (p4 Y)) /\ (-. (p5 Y))) \/ (((p5 Y) /\ (p4 Y)) \/ (((-. (p3 Y)) /\ (-. (p4 Y))) \/ (((p4 Y) /\ (p3 Y)) \/ (((-. (p2 Y)) /\ (-. (p3 Y))) \/ (((p3 Y) /\ (p2 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))))))))))))))))))))))))))))) ### NotNot 25
% 0.16/0.57 27. (-. ((-. (r1 T_2 T_0)) \/ (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ False)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p14 Y) /\ (-. (p13 Y))) \/ ((-. (p14 Y)) /\ (p13 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p13 X) /\ (-. (p12 X))) \/ ((-. (p13 X)) /\ (p12 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p12 Y) /\ (-. (p11 Y))) \/ ((-. (p12 Y)) /\ (p11 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p11 X) /\ (-. (p10 X))) \/ ((-. (p11 X)) /\ (p10 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p10 Y) /\ (-. (p9 Y))) \/ ((-. (p10 Y)) /\ (p9 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p9 X) /\ (-. (p8 X))) \/ ((-. (p9 X)) /\ (p8 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p8 Y) /\ (-. (p7 Y))) \/ ((-. (p8 Y)) /\ (p7 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p7 X) /\ (-. (p6 X))) \/ ((-. (p7 X)) /\ (p6 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p6 Y) /\ (-. (p5 Y))) \/ ((-. (p6 Y)) /\ (p5 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p5 X) /\ (-. (p4 X))) \/ ((-. (p5 X)) /\ (p4 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p4 Y) /\ (-. (p3 Y))) \/ ((-. (p4 Y)) /\ (p3 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p3 X) /\ (-. (p2 X))) \/ ((-. (p3 X)) /\ (p2 X)))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p15 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p13 Y)) /\ (-. (p14 Y))) \/ (((p14 Y) /\ (p13 Y)) \/ (((-. (p12 Y)) /\ (-. (p13 Y))) \/ (((p13 Y) /\ (p12 Y)) \/ (((-. (p11 Y)) /\ (-. (p12 Y))) \/ (((p12 Y) /\ (p11 Y)) \/ (((-. (p10 Y)) /\ (-. (p11 Y))) \/ (((p11 Y) /\ (p10 Y)) \/ (((-. (p9 Y)) /\ (-. (p10 Y))) \/ (((p10 Y) /\ (p9 Y)) \/ (((-. (p8 Y)) /\ (-. (p9 Y))) \/ (((p9 Y) /\ (p8 Y)) \/ (((-. (p7 Y)) /\ (-. (p8 Y))) \/ (((p8 Y) /\ (p7 Y)) \/ (((-. (p6 Y)) /\ (-. (p7 Y))) \/ (((p7 Y) /\ (p6 Y)) \/ (((-. (p5 Y)) /\ (-. (p6 Y))) \/ (((p6 Y) /\ (p5 Y)) \/ (((-. (p4 Y)) /\ (-. (p5 Y))) \/ (((p5 Y) /\ (p4 Y)) \/ (((-. (p3 Y)) /\ (-. (p4 Y))) \/ (((p4 Y) /\ (p3 Y)) \/ (((-. (p2 Y)) /\ (-. (p3 Y))) \/ (((p3 Y) /\ (p2 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y)))))))))))))))))))))))))))))))))))))) ### NotOr 26
% 0.16/0.57 28. (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ False)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p14 Y) /\ (-. (p13 Y))) \/ ((-. (p14 Y)) /\ (p13 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p13 X) /\ (-. (p12 X))) \/ ((-. (p13 X)) /\ (p12 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p12 Y) /\ (-. (p11 Y))) \/ ((-. (p12 Y)) /\ (p11 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p11 X) /\ (-. (p10 X))) \/ ((-. (p11 X)) /\ (p10 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p10 Y) /\ (-. (p9 Y))) \/ ((-. (p10 Y)) /\ (p9 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p9 X) /\ (-. (p8 X))) \/ ((-. (p9 X)) /\ (p8 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p8 Y) /\ (-. (p7 Y))) \/ ((-. (p8 Y)) /\ (p7 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p7 X) /\ (-. (p6 X))) \/ ((-. (p7 X)) /\ (p6 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p6 Y) /\ (-. (p5 Y))) \/ ((-. (p6 Y)) /\ (p5 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p5 X) /\ (-. (p4 X))) \/ ((-. (p5 X)) /\ (p4 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p4 Y) /\ (-. (p3 Y))) \/ ((-. (p4 Y)) /\ (p3 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p3 X) /\ (-. (p2 X))) \/ ((-. (p3 X)) /\ (p2 X)))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p15 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p13 Y)) /\ (-. (p14 Y))) \/ (((p14 Y) /\ (p13 Y)) \/ (((-. (p12 Y)) /\ (-. (p13 Y))) \/ (((p13 Y) /\ (p12 Y)) \/ (((-. (p11 Y)) /\ (-. (p12 Y))) \/ (((p12 Y) /\ (p11 Y)) \/ (((-. (p10 Y)) /\ (-. (p11 Y))) \/ (((p11 Y) /\ (p10 Y)) \/ (((-. (p9 Y)) /\ (-. (p10 Y))) \/ (((p10 Y) /\ (p9 Y)) \/ (((-. (p8 Y)) /\ (-. (p9 Y))) \/ (((p9 Y) /\ (p8 Y)) \/ (((-. (p7 Y)) /\ (-. (p8 Y))) \/ (((p8 Y) /\ (p7 Y)) \/ (((-. (p6 Y)) /\ (-. (p7 Y))) \/ (((p7 Y) /\ (p6 Y)) \/ (((-. (p5 Y)) /\ (-. (p6 Y))) \/ (((p6 Y) /\ (p5 Y)) \/ (((-. (p4 Y)) /\ (-. (p5 Y))) \/ (((p5 Y) /\ (p4 Y)) \/ (((-. (p3 Y)) /\ (-. (p4 Y))) \/ (((p4 Y) /\ (p3 Y)) \/ (((-. (p2 Y)) /\ (-. (p3 Y))) \/ (((p3 Y) /\ (p2 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))))))))))))))))))))))))))))))) ### NotAllEx 27
% 0.16/0.57 29. (-. ((All Y, ((-. (r1 T_2 Y)) \/ ((-. (p15 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (p1 X))))))) \/ (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ False)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p14 Y) /\ (-. (p13 Y))) \/ ((-. (p14 Y)) /\ (p13 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p13 X) /\ (-. (p12 X))) \/ ((-. (p13 X)) /\ (p12 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p12 Y) /\ (-. (p11 Y))) \/ ((-. (p12 Y)) /\ (p11 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p11 X) /\ (-. (p10 X))) \/ ((-. (p11 X)) /\ (p10 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p10 Y) /\ (-. (p9 Y))) \/ ((-. (p10 Y)) /\ (p9 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p9 X) /\ (-. (p8 X))) \/ ((-. (p9 X)) /\ (p8 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p8 Y) /\ (-. (p7 Y))) \/ ((-. (p8 Y)) /\ (p7 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p7 X) /\ (-. (p6 X))) \/ ((-. (p7 X)) /\ (p6 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p6 Y) /\ (-. (p5 Y))) \/ ((-. (p6 Y)) /\ (p5 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p5 X) /\ (-. (p4 X))) \/ ((-. (p5 X)) /\ (p4 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p4 Y) /\ (-. (p3 Y))) \/ ((-. (p4 Y)) /\ (p3 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p3 X) /\ (-. (p2 X))) \/ ((-. (p3 X)) /\ (p2 X)))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p15 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p13 Y)) /\ (-. (p14 Y))) \/ (((p14 Y) /\ (p13 Y)) \/ (((-. (p12 Y)) /\ (-. (p13 Y))) \/ (((p13 Y) /\ (p12 Y)) \/ (((-. (p11 Y)) /\ (-. (p12 Y))) \/ (((p12 Y) /\ (p11 Y)) \/ (((-. (p10 Y)) /\ (-. (p11 Y))) \/ (((p11 Y) /\ (p10 Y)) \/ (((-. (p9 Y)) /\ (-. (p10 Y))) \/ (((p10 Y) /\ (p9 Y)) \/ (((-. (p8 Y)) /\ (-. (p9 Y))) \/ (((p9 Y) /\ (p8 Y)) \/ (((-. (p7 Y)) /\ (-. (p8 Y))) \/ (((p8 Y) /\ (p7 Y)) \/ (((-. (p6 Y)) /\ (-. (p7 Y))) \/ (((p7 Y) /\ (p6 Y)) \/ (((-. (p5 Y)) /\ (-. (p6 Y))) \/ (((p6 Y) /\ (p5 Y)) \/ (((-. (p4 Y)) /\ (-. (p5 Y))) \/ (((p5 Y) /\ (p4 Y)) \/ (((-. (p3 Y)) /\ (-. (p4 Y))) \/ (((p4 Y) /\ (p3 Y)) \/ (((-. (p2 Y)) /\ (-. (p3 Y))) \/ (((p3 Y) /\ (p2 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y)))))))))))))))))))))))))))))))))))))))) ### NotOr 28
% 0.16/0.57 30. (Ex X, (-. ((All Y, ((-. (r1 X Y)) \/ ((-. (p15 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ False)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p14 Y) /\ (-. (p13 Y))) \/ ((-. (p14 Y)) /\ (p13 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p13 X) /\ (-. (p12 X))) \/ ((-. (p13 X)) /\ (p12 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p12 Y) /\ (-. (p11 Y))) \/ ((-. (p12 Y)) /\ (p11 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p11 X) /\ (-. (p10 X))) \/ ((-. (p11 X)) /\ (p10 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p10 Y) /\ (-. (p9 Y))) \/ ((-. (p10 Y)) /\ (p9 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p9 X) /\ (-. (p8 X))) \/ ((-. (p9 X)) /\ (p8 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p8 Y) /\ (-. (p7 Y))) \/ ((-. (p8 Y)) /\ (p7 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p7 X) /\ (-. (p6 X))) \/ ((-. (p7 X)) /\ (p6 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p6 Y) /\ (-. (p5 Y))) \/ ((-. (p6 Y)) /\ (p5 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p5 X) /\ (-. (p4 X))) \/ ((-. (p5 X)) /\ (p4 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p4 Y) /\ (-. (p3 Y))) \/ ((-. (p4 Y)) /\ (p3 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p3 X) /\ (-. (p2 X))) \/ ((-. (p3 X)) /\ (p2 X)))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p15 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p13 Y)) /\ (-. (p14 Y))) \/ (((p14 Y) /\ (p13 Y)) \/ (((-. (p12 Y)) /\ (-. (p13 Y))) \/ (((p13 Y) /\ (p12 Y)) \/ (((-. (p11 Y)) /\ (-. (p12 Y))) \/ (((p12 Y) /\ (p11 Y)) \/ (((-. (p10 Y)) /\ (-. (p11 Y))) \/ (((p11 Y) /\ (p10 Y)) \/ (((-. (p9 Y)) /\ (-. (p10 Y))) \/ (((p10 Y) /\ (p9 Y)) \/ (((-. (p8 Y)) /\ (-. (p9 Y))) \/ (((p9 Y) /\ (p8 Y)) \/ (((-. (p7 Y)) /\ (-. (p8 Y))) \/ (((p8 Y) /\ (p7 Y)) \/ (((-. (p6 Y)) /\ (-. (p7 Y))) \/ (((p7 Y) /\ (p6 Y)) \/ (((-. (p5 Y)) /\ (-. (p6 Y))) \/ (((p6 Y) /\ (p5 Y)) \/ (((-. (p4 Y)) /\ (-. (p5 Y))) \/ (((p5 Y) /\ (p4 Y)) \/ (((-. (p3 Y)) /\ (-. (p4 Y))) \/ (((p4 Y) /\ (p3 Y)) \/ (((-. (p2 Y)) /\ (-. (p3 Y))) \/ (((p3 Y) /\ (p2 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))))))))))))))))))))))))))))))))) ### Exists 29
% 0.16/0.57 31. (-. (-. (Ex X, (-. ((All Y, ((-. (r1 X Y)) \/ ((-. (p15 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ ((All Y, ((-. (r1 X Y)) \/ False)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p14 Y) /\ (-. (p13 Y))) \/ ((-. (p14 Y)) /\ (p13 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p13 X) /\ (-. (p12 X))) \/ ((-. (p13 X)) /\ (p12 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p12 Y) /\ (-. (p11 Y))) \/ ((-. (p12 Y)) /\ (p11 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p11 X) /\ (-. (p10 X))) \/ ((-. (p11 X)) /\ (p10 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p10 Y) /\ (-. (p9 Y))) \/ ((-. (p10 Y)) /\ (p9 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p9 X) /\ (-. (p8 X))) \/ ((-. (p9 X)) /\ (p8 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p8 Y) /\ (-. (p7 Y))) \/ ((-. (p8 Y)) /\ (p7 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p7 X) /\ (-. (p6 X))) \/ ((-. (p7 X)) /\ (p6 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p6 Y) /\ (-. (p5 Y))) \/ ((-. (p6 Y)) /\ (p5 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p5 X) /\ (-. (p4 X))) \/ ((-. (p5 X)) /\ (p4 X)))))))))) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (((p4 Y) /\ (-. (p3 Y))) \/ ((-. (p4 Y)) /\ (p3 Y)))))))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. (((p3 X) /\ (-. (p2 X))) \/ ((-. (p3 X)) /\ (p2 X)))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p15 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p13 Y)) /\ (-. (p14 Y))) \/ (((p14 Y) /\ (p13 Y)) \/ (((-. (p12 Y)) /\ (-. (p13 Y))) \/ (((p13 Y) /\ (p12 Y)) \/ (((-. (p11 Y)) /\ (-. (p12 Y))) \/ (((p12 Y) /\ (p11 Y)) \/ (((-. (p10 Y)) /\ (-. (p11 Y))) \/ (((p11 Y) /\ (p10 Y)) \/ (((-. (p9 Y)) /\ (-. (p10 Y))) \/ (((p10 Y) /\ (p9 Y)) \/ (((-. (p8 Y)) /\ (-. (p9 Y))) \/ (((p9 Y) /\ (p8 Y)) \/ (((-. (p7 Y)) /\ (-. (p8 Y))) \/ (((p8 Y) /\ (p7 Y)) \/ (((-. (p6 Y)) /\ (-. (p7 Y))) \/ (((p7 Y) /\ (p6 Y)) \/ (((-. (p5 Y)) /\ (-. (p6 Y))) \/ (((p6 Y) /\ (p5 Y)) \/ (((-. (p4 Y)) /\ (-. (p5 Y))) \/ (((p5 Y) /\ (p4 Y)) \/ (((-. (p3 Y)) /\ (-. (p4 Y))) \/ (((p4 Y) /\ (p3 Y)) \/ (((-. (p2 Y)) /\ (-. (p3 Y))) \/ (((p3 Y) /\ (p2 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))))))))))))))))))))))))))))))))))) ### NotNot 30
% 0.16/0.57 % SZS output end Proof
% 0.16/0.57 (* END-PROOF *)
%------------------------------------------------------------------------------