TSTP Solution File: SET802+4 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET802+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 : n005.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 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET802+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 09:07:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 (* PROOF-FOUND *)
% 0.19/0.42 (* BEGIN-PROOF *)
% 0.19/0.42 % SZS output start Proof
% 0.19/0.42 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.42 2. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom
% 0.19/0.42 3. (-. (apply T_3 T_0 T_2)) (apply T_3 T_0 T_2) ### Axiom
% 0.19/0.42 4. (lower_bound T_0 T_3 T_1) (-. (apply T_3 T_0 T_2)) (member T_2 T_1) ### Extension/test/lower_bound_inst 2 3
% 0.19/0.42 5. (-. (least T_0 T_3 T_1)) (lower_bound T_0 T_3 T_1) (member T_0 T_1) ### Extension/test/not_least 1 4
% 0.19/0.42 6. (greatest_lower_bound T_0 T_1 T_3 T_4) (member T_0 T_1) (-. (least T_0 T_3 T_1)) ### Extension/test/greatest_lower_bound 5 5 5
% 0.19/0.42 7. ((member T_0 T_1) /\ (greatest_lower_bound T_0 T_1 T_3 T_4)) (-. (least T_0 T_3 T_1)) ### And 6
% 0.19/0.42 8. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.42 9. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom
% 0.19/0.42 10. (-. (apply T_3 T_0 T_2)) (apply T_3 T_0 T_2) ### Axiom
% 0.19/0.42 11. (least T_0 T_3 T_1) (-. (apply T_3 T_0 T_2)) (member T_2 T_1) ### Extension/test/least_inst 9 10
% 0.19/0.42 12. (-. (lower_bound T_0 T_3 T_1)) (least T_0 T_3 T_1) ### Extension/test/not_lower_bound 11
% 0.19/0.42 13. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.42 14. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.42 15. (-. (apply T_3 T_5 T_0)) (apply T_3 T_5 T_0) ### Axiom
% 0.19/0.42 16. (lower_bound T_5 T_3 T_1) (-. (apply T_3 T_5 T_0)) (member T_0 T_1) ### Extension/test/lower_bound_inst 14 15
% 0.19/0.42 17. (-. (greatest_lower_bound T_0 T_1 T_3 T_4)) (member T_0 T_1) (least T_0 T_3 T_1) ### Extension/test/not_greatest_lower_bound 12 13 16
% 0.19/0.42 18. (-. ((member T_0 T_1) /\ (greatest_lower_bound T_0 T_1 T_3 T_4))) (least T_0 T_3 T_1) (member T_0 T_1) ### NotAnd 8 17
% 0.19/0.42 19. (least T_0 T_3 T_1) (-. ((member T_0 T_1) /\ (greatest_lower_bound T_0 T_1 T_3 T_4))) ### Extension/test/least 18 18
% 0.19/0.42 20. (-. ((least T_0 T_3 T_1) <=> ((member T_0 T_1) /\ (greatest_lower_bound T_0 T_1 T_3 T_4)))) ### NotEquiv 7 19
% 0.19/0.42 21. (-. (All M, ((least M T_3 T_1) <=> ((member M T_1) /\ (greatest_lower_bound M T_1 T_3 T_4))))) ### NotAllEx 20
% 0.19/0.42 22. (-. ((subset T_1 T_4) => (All M, ((least M T_3 T_1) <=> ((member M T_1) /\ (greatest_lower_bound M T_1 T_3 T_4)))))) ### NotImply 21
% 0.19/0.42 23. (-. (All X, ((subset X T_4) => (All M, ((least M T_3 X) <=> ((member M X) /\ (greatest_lower_bound M X T_3 T_4))))))) ### NotAllEx 22
% 0.19/0.42 24. (-. ((order T_3 T_4) => (All X, ((subset X T_4) => (All M, ((least M T_3 X) <=> ((member M X) /\ (greatest_lower_bound M X T_3 T_4)))))))) ### NotImply 23
% 0.19/0.42 25. (-. (All E, ((order T_3 E) => (All X, ((subset X E) => (All M, ((least M T_3 X) <=> ((member M X) /\ (greatest_lower_bound M X T_3 E))))))))) ### NotAllEx 24
% 0.19/0.42 26. (-. (All R, (All E, ((order R E) => (All X, ((subset X E) => (All M, ((least M R X) <=> ((member M X) /\ (greatest_lower_bound M X R E)))))))))) ### NotAllEx 25
% 0.19/0.42 % SZS output end Proof
% 0.19/0.42 (* END-PROOF *)
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