TSTP Solution File: LCL638+1.001 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LCL638+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 : n008.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 14:52:07 EDT 2022
% Result : Theorem 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.20/0.34 % WCLimit : 600
% 0.20/0.34 % DateTime : Sun Jul 3 09:46:23 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 (* PROOF-FOUND *)
% 0.20/0.42 (* BEGIN-PROOF *)
% 0.20/0.42 % SZS output start Proof
% 0.20/0.42 1. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.20/0.42 2. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.20/0.42 3. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.20/0.42 4. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 0.20/0.42 5. (r1 T_1 T_2) (-. (r1 T_1 T_2)) ### Axiom
% 0.20/0.42 6. (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y))) (-. (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y)))) ### Axiom
% 0.20/0.42 7. ((-. (r1 T_1 T_2)) \/ (-. (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y))))) (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y))) (r1 T_1 T_2) ### Or 5 6
% 0.20/0.42 8. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) (r1 T_1 T_2) (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y))) ### All 7
% 0.20/0.42 9. ((-. (r1 T_1 T_2)) \/ (All Y, ((-. (r1 T_2 Y)) \/ (p1 Y)))) (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) (r1 T_1 T_2) ### Or 4 8
% 0.20/0.42 10. (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) (r1 T_1 T_2) (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) ### All 9
% 0.20/0.42 11. (-. (-. (r1 T_1 T_2))) (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) ### NotNot 10
% 0.20/0.42 12. (-. ((-. (r1 T_1 T_2)) \/ False)) (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) ### NotOr 11
% 0.20/0.42 13. (-. (All X, ((-. (r1 T_1 X)) \/ False))) (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) ### NotAllEx 12
% 0.20/0.42 14. ((-. (r1 T_0 T_1)) \/ (-. (All X, ((-. (r1 T_1 X)) \/ False)))) (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) (r1 T_0 T_1) ### Or 3 13
% 0.20/0.42 15. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False))))) (r1 T_0 T_1) (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) (All X, ((-. (r1 T_1 X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y))))) ### All 14
% 0.20/0.42 16. (All X, ((-. (r1 T_1 X)) \/ (p1 X))) (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X)))) ### Axiom
% 0.20/0.42 17. ((-. (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 X, ((-. (r1 T_1 X)) \/ (p1 X))) (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False))))) (r1 T_0 T_1) ### DisjTree 2 15 16
% 0.20/0.42 18. (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))))))) (r1 T_0 T_1) (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False))))) (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) ### All 17
% 0.20/0.42 19. (-. (p1 T_1)) (p1 T_1) ### Axiom
% 0.20/0.42 20. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) /\ (-. (p1 T_1))))) (-. (p1 T_1)) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) (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))))))) (r1 T_0 T_1) ### DisjTree 1 18 19
% 0.20/0.42 21. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) /\ (-. (p1 Y)))))) (r1 T_0 T_1) (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)) \/ False))))) (All X, ((-. (r1 T_1 X)) \/ (p1 X))) (-. (p1 T_1)) ### All 20
% 0.20/0.42 22. (-. ((-. (r1 T_0 T_1)) \/ ((p1 T_1) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X))))))) (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))))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) /\ (-. (p1 Y)))))) ### ConjTree 21
% 0.20/0.42 23. (-. (All Y, ((-. (r1 T_0 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)) \/ (p1 Y))))))) /\ (-. (p1 Y)))))) (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)) \/ False))))) ### NotAllEx 22
% 0.20/0.42 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)) \/ (-. (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 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)) \/ (p1 Y)))))) /\ (All X, ((-. (r1 Y X)) \/ (p1 X)))))))) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) \/ (All Y, ((-. (r1 T_0 Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))))))))) ### ConjTree 23
% 0.20/0.42 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)) \/ (-. (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 X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) /\ (All X, ((-. (r1 Y X)) \/ (p1 X)))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) \/ (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))))))) ### Exists 24
% 0.20/0.42 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)) \/ (-. (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 X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) /\ (All X, ((-. (r1 Y X)) \/ (p1 X)))))))) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) \/ (All Y, ((-. (r1 X Y)) \/ ((p1 Y) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))))))))) ### NotNot 25
% 0.20/0.42 % SZS output end Proof
% 0.20/0.42 (* END-PROOF *)
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