TSTP Solution File: LCL654+1.001 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LCL654+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 : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 14:52:29 EDT 2022
% Result : Theorem 4.25s 4.46s
% Output : Proof 4.25s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL654+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 : n025.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 06:30:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.25/4.46 % SZS status Theorem
% 4.25/4.46 (* PROOF-FOUND *)
% 4.25/4.46 (* BEGIN-PROOF *)
% 4.25/4.46 % SZS output start Proof
% 4.25/4.46 1. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 4.25/4.46 2. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 4.25/4.46 3. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 4.25/4.46 4. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 4.25/4.46 5. (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) ### Axiom
% 4.25/4.46 6. ((-. (r1 T_1 T_2)) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) (r1 T_1 T_2) ### Or 4 5
% 4.25/4.46 7. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))))) (r1 T_1 T_2) (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) ### All 6
% 4.25/4.46 8. (-. (r1 T_1 T_1)) ### Refl(r1)
% 4.25/4.46 9. (All X, ((-. (r1 T_1 X)) \/ (p1 X))) (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X)))) ### Axiom
% 4.25/4.46 10. ((-. (r1 T_1 T_1)) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X))))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) ### Or 8 9
% 4.25/4.46 11. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) ### All 10
% 4.25/4.46 12. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) (r1 T_1 T_2) (r1 T_0 T_1) ### DisjTree 3 7 11
% 4.25/4.46 13. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) (r1 T_0 T_1) (r1 T_1 T_2) (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) ### All 12
% 4.25/4.46 14. (-. (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y)))) (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y))) ### Axiom
% 4.25/4.46 15. ((-. (r1 T_1 T_2)) \/ (-. ((-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y)))) (All X, ((-. (r1 T_1 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)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) (r1 T_1 T_2) ### DisjTree 2 13 14
% 4.25/4.46 16. (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))) (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)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) (r1 T_0 T_1) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) (-. (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y)))) ### All 15
% 4.25/4.46 17. ((-. (r1 T_0 T_1)) \/ (All X, ((-. (r1 T_1 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))) (-. (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y)))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) (r1 T_1 T_2) (r1 T_0 T_1) ### Or 1 16
% 4.25/4.46 18. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) (r1 T_0 T_1) (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)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) (-. (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y)))) ### All 17
% 4.25/4.46 19. (-. (-. (r1 T_1 T_2))) (-. (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y)))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) (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)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) ### NotNot 18
% 4.25/4.46 20. (-. ((-. (r1 T_1 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) (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)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) ### NotOr 19
% 4.25/4.46 21. (-. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) (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)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) ### NotAllEx 20
% 4.25/4.46 22. (-. ((-. (r1 T_0 T_1)) \/ ((All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) ### ConjTree 21
% 4.25/4.46 23. (-. (All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) ### NotAllEx 22
% 4.25/4.46 24. (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) \/ (All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))))) ### ConjTree 23
% 4.25/4.46 25. (Ex X, (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) \/ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))))))))) ### Exists 24
% 4.25/4.47 26. (-. (-. (Ex X, (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) \/ (All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))))))))))) ### NotNot 25
% 4.25/4.47 % SZS output end Proof
% 4.25/4.47 (* END-PROOF *)
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