TSTP Solution File: SET697+4 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET697+4 : TPTP v8.1.0. Released v2.2.0.
% 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 05:43:27 EDT 2022
% Result : Theorem 0.18s 0.40s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET697+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 02:29:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.40 % SZS status Theorem
% 0.18/0.40 (* PROOF-FOUND *)
% 0.18/0.40 (* BEGIN-PROOF *)
% 0.18/0.40 % SZS output start Proof
% 0.18/0.40 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.18/0.40 2. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.18/0.40 3. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom
% 0.18/0.40 4. (subset T_1 T_2) (-. (member T_0 T_2)) (member T_0 T_1) ### Extension/test/subset_inst 2 3
% 0.18/0.40 5. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom
% 0.18/0.40 6. (-. (member T_0 (difference T_2 T_3))) (-. (member T_0 T_3)) (member T_0 T_1) (subset T_1 T_2) ### Extension/test/not_difference 4 5
% 0.18/0.40 7. (-. (member T_0 (intersection T_1 (difference T_2 T_3)))) (subset T_1 T_2) (-. (member T_0 T_3)) (member T_0 T_1) ### Extension/test/not_intersection 1 6
% 0.18/0.40 8. (member T_0 (empty_set)) (-. (member T_0 (empty_set))) ### Axiom
% 0.18/0.40 9. (All X, (-. (member X (empty_set)))) (member T_0 (empty_set)) ### All 8
% 0.18/0.40 10. (subset (intersection T_1 (difference T_2 T_3)) (empty_set)) (All X, (-. (member X (empty_set)))) (member T_0 T_1) (-. (member T_0 T_3)) (subset T_1 T_2) ### Extension/test/subset_inst 7 9
% 0.18/0.40 11. (equal_set (intersection T_1 (difference T_2 T_3)) (empty_set)) (subset T_1 T_2) (-. (member T_0 T_3)) (member T_0 T_1) (All X, (-. (member X (empty_set)))) ### Extension/test/equal_set 10
% 0.18/0.40 12. (-. (subset T_1 T_3)) (All X, (-. (member X (empty_set)))) (subset T_1 T_2) (equal_set (intersection T_1 (difference T_2 T_3)) (empty_set)) ### Extension/test/not_subset 11
% 0.18/0.40 13. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom
% 0.18/0.40 14. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom
% 0.18/0.40 15. (subset T_1 T_3) (-. (member T_4 T_3)) (member T_4 T_1) ### Extension/test/subset_inst 13 14
% 0.18/0.40 16. (member T_4 (difference T_2 T_3)) (member T_4 T_1) (subset T_1 T_3) ### Extension/test/difference 15
% 0.18/0.40 17. (member T_4 (intersection T_1 (difference T_2 T_3))) (subset T_1 T_3) ### Extension/test/intersection 16
% 0.18/0.40 18. (-. (subset (intersection T_1 (difference T_2 T_3)) (empty_set))) (subset T_1 T_3) ### Extension/test/not_subset 17
% 0.18/0.40 19. (member T_5 (empty_set)) (-. (member T_5 (empty_set))) ### Axiom
% 0.18/0.40 20. (All X, (-. (member X (empty_set)))) (member T_5 (empty_set)) ### All 19
% 0.18/0.40 21. (-. (subset (empty_set) (intersection T_1 (difference T_2 T_3)))) (All X, (-. (member X (empty_set)))) ### Extension/test/not_subset 20
% 0.18/0.40 22. (-. (equal_set (intersection T_1 (difference T_2 T_3)) (empty_set))) (All X, (-. (member X (empty_set)))) (subset T_1 T_3) ### Extension/test/not_equal_set 18 21
% 0.18/0.40 23. (-. ((subset T_1 T_3) <=> (equal_set (intersection T_1 (difference T_2 T_3)) (empty_set)))) (subset T_1 T_2) (All X, (-. (member X (empty_set)))) ### NotEquiv 12 22
% 0.18/0.40 24. (-. (((subset T_1 T_2) /\ (subset T_3 T_2)) => ((subset T_1 T_3) <=> (equal_set (intersection T_1 (difference T_2 T_3)) (empty_set))))) (All X, (-. (member X (empty_set)))) ### ConjTree 23
% 0.18/0.40 25. (-. (All E, (((subset T_1 E) /\ (subset T_3 E)) => ((subset T_1 T_3) <=> (equal_set (intersection T_1 (difference E T_3)) (empty_set)))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 24
% 0.18/0.40 26. (-. (All B, (All E, (((subset T_1 E) /\ (subset B E)) => ((subset T_1 B) <=> (equal_set (intersection T_1 (difference E B)) (empty_set))))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 25
% 0.18/0.40 27. (-. (All A, (All B, (All E, (((subset A E) /\ (subset B E)) => ((subset A B) <=> (equal_set (intersection A (difference E B)) (empty_set)))))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 26
% 0.18/0.40 % SZS output end Proof
% 0.18/0.40 (* END-PROOF *)
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