TSTP Solution File: SET156+4 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET156+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 : n021.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 05:39:56 EDT 2022
% Result : Theorem 0.18s 0.41s
% 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
% 0.07/0.12 % Problem : SET156+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 21:09:06 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. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.18/0.41 2. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.18/0.41 3. (member T_0 T_2) (-. (member T_0 T_2)) ### Axiom
% 0.18/0.41 4. (member T_0 T_3) (-. (member T_0 T_3)) ### Axiom
% 0.18/0.41 5. (-. (member T_0 (intersection T_2 T_3))) (member T_0 T_3) (member T_0 T_2) ### Extension/test/not_intersection 3 4
% 0.18/0.41 6. (-. (member T_0 (difference T_1 T_2))) (member T_0 T_3) (-. (member T_0 (intersection T_2 T_3))) (member T_0 T_1) ### Extension/test/not_difference 2 5
% 0.18/0.41 7. (-. (member T_0 (difference T_1 T_3))) (-. (member T_0 (intersection T_2 T_3))) (-. (member T_0 (difference T_1 T_2))) (member T_0 T_1) ### Extension/test/not_difference 1 6
% 0.18/0.41 8. (-. (member T_0 (union (difference T_1 T_2) (difference T_1 T_3)))) (member T_0 T_1) (-. (member T_0 (intersection T_2 T_3))) ### Extension/test/not_union 7
% 0.18/0.41 9. (member T_0 (difference T_1 (intersection T_2 T_3))) (-. (member T_0 (union (difference T_1 T_2) (difference T_1 T_3)))) ### Extension/test/difference 8
% 0.18/0.41 10. (-. (subset (difference T_1 (intersection T_2 T_3)) (union (difference T_1 T_2) (difference T_1 T_3)))) ### Extension/test/not_subset 9
% 0.18/0.41 11. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom
% 0.18/0.41 12. (-. (member T_4 T_2)) (member T_4 T_2) ### Axiom
% 0.18/0.41 13. (member T_4 (intersection T_2 T_3)) (-. (member T_4 T_2)) ### Extension/test/intersection 12
% 0.18/0.41 14. (-. (member T_4 (difference T_1 (intersection T_2 T_3)))) (-. (member T_4 T_2)) (member T_4 T_1) ### Extension/test/not_difference 11 13
% 0.18/0.41 15. (member T_4 (difference T_1 T_2)) (-. (member T_4 (difference T_1 (intersection T_2 T_3)))) ### Extension/test/difference 14
% 0.18/0.41 16. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom
% 0.18/0.41 17. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom
% 0.18/0.41 18. (member T_4 (intersection T_2 T_3)) (-. (member T_4 T_3)) ### Extension/test/intersection 17
% 0.18/0.41 19. (-. (member T_4 (difference T_1 (intersection T_2 T_3)))) (-. (member T_4 T_3)) (member T_4 T_1) ### Extension/test/not_difference 16 18
% 0.18/0.41 20. (member T_4 (difference T_1 T_3)) (-. (member T_4 (difference T_1 (intersection T_2 T_3)))) ### Extension/test/difference 19
% 0.18/0.41 21. (member T_4 (union (difference T_1 T_2) (difference T_1 T_3))) (-. (member T_4 (difference T_1 (intersection T_2 T_3)))) ### Extension/test/union 15 20
% 0.18/0.41 22. (-. (subset (union (difference T_1 T_2) (difference T_1 T_3)) (difference T_1 (intersection T_2 T_3)))) ### Extension/test/not_subset 21
% 0.18/0.41 23. (-. (equal_set (difference T_1 (intersection T_2 T_3)) (union (difference T_1 T_2) (difference T_1 T_3)))) ### Extension/test/not_equal_set 10 22
% 0.18/0.41 24. (-. (((subset T_2 T_1) /\ (subset T_3 T_1)) => (equal_set (difference T_1 (intersection T_2 T_3)) (union (difference T_1 T_2) (difference T_1 T_3))))) ### ConjTree 23
% 0.18/0.41 25. (-. (All E, (((subset T_2 E) /\ (subset T_3 E)) => (equal_set (difference E (intersection T_2 T_3)) (union (difference E T_2) (difference E T_3)))))) ### NotAllEx 24
% 0.18/0.41 26. (-. (All B, (All E, (((subset T_2 E) /\ (subset B E)) => (equal_set (difference E (intersection T_2 B)) (union (difference E T_2) (difference E B))))))) ### NotAllEx 25
% 0.18/0.41 27. (-. (All A, (All B, (All E, (((subset A E) /\ (subset B E)) => (equal_set (difference E (intersection A B)) (union (difference E A) (difference E B)))))))) ### NotAllEx 26
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 (* END-PROOF *)
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