TSTP Solution File: LCL686+1.001 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LCL686+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 : n003.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 14:53:14 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL686+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 00:14:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 (* PROOF-FOUND *)
% 0.18/0.41 (* BEGIN-PROOF *)
% 0.18/0.41 % SZS output start Proof
% 0.18/0.41 1. (-. (r1 T_0 T_0)) ### Extension/test/reflexivity
% 0.18/0.41 2. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.18/0.41 3. (p2 T_1) (-. (p2 T_1)) ### Axiom
% 0.18/0.41 4. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.18/0.41 5. (p2 T_1) (-. (p2 T_1)) ### Axiom
% 0.18/0.41 6. (-. (p1 T_1)) (p1 T_1) ### Axiom
% 0.18/0.41 7. (-. (-. (p1 T_1))) (-. (p1 T_1)) ### NotNot 6
% 0.18/0.41 8. (-. ((p2 T_1) /\ (-. (p1 T_1)))) (-. (p1 T_1)) (p2 T_1) ### NotAnd 5 7
% 0.18/0.41 9. (-. (((p2 T_1) /\ (-. (p1 T_1))) \/ ((-. (p2 T_1)) /\ (p1 T_1)))) (p2 T_1) (-. (p1 T_1)) ### NotOr 8
% 0.18/0.41 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
% 0.18/0.41 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
% 0.18/0.41 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
% 0.18/0.41 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
% 0.18/0.41 14. (p1 T_1) (-. (p1 T_1)) ### Axiom
% 0.18/0.41 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
% 0.18/0.41 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
% 0.18/0.41 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
% 0.18/0.41 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
% 0.18/0.41 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
% 0.18/0.41 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
% 0.18/0.41 21. (-. ((-. (r1 T_0 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
% 0.18/0.41 22. (-. (All Y, ((-. (r1 T_0 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
% 0.18/0.41 23. (-. ((All Y, ((-. (r1 T_0 Y)) \/ False)) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p3 Y))) \/ (All Y, ((-. (r1 T_0 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))) ### ConjTree 22
% 0.18/0.41 24. ((-. (r1 T_0 T_0)) \/ (-. ((All Y, ((-. (r1 T_0 Y)) \/ False)) \/ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p3 Y))) \/ (All Y, ((-. (r1 T_0 Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y)))))))))) ### Or 1 23
% 0.18/0.41 25. (All X, ((-. (r1 T_0 X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ False)) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))) ### All 24
% 0.18/0.41 26. (-. (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ False)) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))))) ### NotNot 25
% 0.18/0.41 27. (-. ((-. (r1 T_2 T_0)) \/ (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ False)) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y)))))))))))))) ### NotOr 26
% 0.18/0.41 28. (-. (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ False)) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))))))) ### NotAllEx 27
% 0.18/0.41 29. (-. ((All Y, ((-. (r1 T_2 Y)) \/ ((-. (p3 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (p1 X))))))) \/ (All Y, ((-. (r1 T_2 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ False)) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y)))))))))))))))) ### NotOr 28
% 0.18/0.41 30. (Ex X, (-. ((All Y, ((-. (r1 X Y)) \/ ((-. (p3 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ False)) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))))))))) ### Exists 29
% 0.18/0.41 31. (-. (-. (Ex X, (-. ((All Y, ((-. (r1 X Y)) \/ ((-. (p3 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. (p1 X))))))) \/ (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (-. ((All Y, ((-. (r1 X Y)) \/ False)) \/ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (((p2 Y) /\ (-. (p1 Y))) \/ ((-. (p2 Y)) /\ (p1 Y))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p3 Y))) \/ (All Y, ((-. (r1 X Y)) \/ (((-. (p1 Y)) /\ (-. (p2 Y))) \/ ((p2 Y) /\ (p1 Y))))))))))))))))))) ### NotNot 30
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 (* END-PROOF *)
%------------------------------------------------------------------------------