TSTP Solution File: SET801+4 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET801+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n011.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 : Tue Jul 19 05:44:04 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET801+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 03:30:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 (* PROOF-FOUND *)
% 0.19/0.41 (* BEGIN-PROOF *)
% 0.19/0.41 % SZS output start Proof
% 0.19/0.41 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.41 2. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom
% 0.19/0.41 3. (-. (apply T_3 T_2 T_0)) (apply T_3 T_2 T_0) ### Axiom
% 0.19/0.41 4. (upper_bound T_0 T_3 T_1) (-. (apply T_3 T_2 T_0)) (member T_2 T_1) ### Extension/test/upper_bound_inst 2 3
% 0.19/0.41 5. (-. (greatest T_0 T_3 T_1)) (upper_bound T_0 T_3 T_1) (member T_0 T_1) ### Extension/test/not_greatest 1 4
% 0.19/0.41 6. (least_upper_bound T_0 T_1 T_3 T_4) (member T_0 T_1) (-. (greatest T_0 T_3 T_1)) ### Extension/test/least_upper_bound 5 5 5
% 0.19/0.41 7. ((member T_0 T_1) /\ (least_upper_bound T_0 T_1 T_3 T_4)) (-. (greatest T_0 T_3 T_1)) ### And 6
% 0.19/0.41 8. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.41 9. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom
% 0.19/0.41 10. (-. (apply T_3 T_2 T_0)) (apply T_3 T_2 T_0) ### Axiom
% 0.19/0.41 11. (greatest T_0 T_3 T_1) (-. (apply T_3 T_2 T_0)) (member T_2 T_1) ### Extension/test/greatest_inst 9 10
% 0.19/0.41 12. (-. (upper_bound T_0 T_3 T_1)) (greatest T_0 T_3 T_1) ### Extension/test/not_upper_bound 11
% 0.19/0.41 13. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.41 14. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.41 15. (-. (apply T_3 T_0 T_5)) (apply T_3 T_0 T_5) ### Axiom
% 0.19/0.41 16. (upper_bound T_5 T_3 T_1) (-. (apply T_3 T_0 T_5)) (member T_0 T_1) ### Extension/test/upper_bound_inst 14 15
% 0.19/0.41 17. (-. (least_upper_bound T_0 T_1 T_3 T_4)) (member T_0 T_1) (greatest T_0 T_3 T_1) ### Extension/test/not_least_upper_bound 12 13 16
% 0.19/0.41 18. (-. ((member T_0 T_1) /\ (least_upper_bound T_0 T_1 T_3 T_4))) (greatest T_0 T_3 T_1) (member T_0 T_1) ### NotAnd 8 17
% 0.19/0.41 19. (greatest T_0 T_3 T_1) (-. ((member T_0 T_1) /\ (least_upper_bound T_0 T_1 T_3 T_4))) ### Extension/test/greatest 18 18
% 0.19/0.41 20. (-. ((greatest T_0 T_3 T_1) <=> ((member T_0 T_1) /\ (least_upper_bound T_0 T_1 T_3 T_4)))) ### NotEquiv 7 19
% 0.19/0.41 21. (-. (All M, ((greatest M T_3 T_1) <=> ((member M T_1) /\ (least_upper_bound M T_1 T_3 T_4))))) ### NotAllEx 20
% 0.19/0.41 22. (-. ((subset T_1 T_4) => (All M, ((greatest M T_3 T_1) <=> ((member M T_1) /\ (least_upper_bound M T_1 T_3 T_4)))))) ### NotImply 21
% 0.19/0.41 23. (-. (All X, ((subset X T_4) => (All M, ((greatest M T_3 X) <=> ((member M X) /\ (least_upper_bound M X T_3 T_4))))))) ### NotAllEx 22
% 0.19/0.41 24. (-. ((order T_3 T_4) => (All X, ((subset X T_4) => (All M, ((greatest M T_3 X) <=> ((member M X) /\ (least_upper_bound M X T_3 T_4)))))))) ### NotImply 23
% 0.19/0.41 25. (-. (All E, ((order T_3 E) => (All X, ((subset X E) => (All M, ((greatest M T_3 X) <=> ((member M X) /\ (least_upper_bound M X T_3 E))))))))) ### NotAllEx 24
% 0.19/0.41 26. (-. (All R, (All E, ((order R E) => (All X, ((subset X E) => (All M, ((greatest M R X) <=> ((member M X) /\ (least_upper_bound M X R E)))))))))) ### NotAllEx 25
% 0.19/0.41 % SZS output end Proof
% 0.19/0.41 (* END-PROOF *)
%------------------------------------------------------------------------------