TSTP Solution File: SET699+4 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SET699+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 : n018.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
% 0.06/0.11 % Problem : SET699+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n018.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 : Sun Jul 10 03:48:42 EDT 2022
% 0.12/0.33 % 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 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.18/0.40 9. (member T_0 (difference T_2 T_1)) (member T_0 T_1) ### Extension/test/difference 8
% 0.18/0.40 10. (subset (intersection T_1 (difference T_2 T_3)) (difference T_2 T_1)) (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. (-. (subset T_1 T_3)) (subset T_1 T_2) (subset (intersection T_1 (difference T_2 T_3)) (difference T_2 T_1)) ### Extension/test/not_subset 10
% 0.18/0.40 12. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom
% 0.18/0.40 13. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom
% 0.18/0.40 14. (subset T_1 T_3) (-. (member T_4 T_3)) (member T_4 T_1) ### Extension/test/subset_inst 12 13
% 0.18/0.40 15. (member T_4 (difference T_2 T_3)) (member T_4 T_1) (subset T_1 T_3) ### Extension/test/difference 14
% 0.18/0.40 16. (member T_4 (intersection T_1 (difference T_2 T_3))) (subset T_1 T_3) ### Extension/test/intersection 15
% 0.18/0.40 17. (-. (subset (intersection T_1 (difference T_2 T_3)) (difference T_2 T_1))) (subset T_1 T_3) ### Extension/test/not_subset 16
% 0.18/0.40 18. (-. ((subset T_1 T_3) <=> (subset (intersection T_1 (difference T_2 T_3)) (difference T_2 T_1)))) (subset T_1 T_2) ### NotEquiv 11 17
% 0.18/0.40 19. (-. (((subset T_1 T_2) /\ (subset T_3 T_2)) => ((subset T_1 T_3) <=> (subset (intersection T_1 (difference T_2 T_3)) (difference T_2 T_1))))) ### ConjTree 18
% 0.18/0.40 20. (-. (All E, (((subset T_1 E) /\ (subset T_3 E)) => ((subset T_1 T_3) <=> (subset (intersection T_1 (difference E T_3)) (difference E T_1)))))) ### NotAllEx 19
% 0.18/0.40 21. (-. (All B, (All E, (((subset T_1 E) /\ (subset B E)) => ((subset T_1 B) <=> (subset (intersection T_1 (difference E B)) (difference E T_1))))))) ### NotAllEx 20
% 0.18/0.40 22. (-. (All A, (All B, (All E, (((subset A E) /\ (subset B E)) => ((subset A B) <=> (subset (intersection A (difference E B)) (difference E A)))))))) ### NotAllEx 21
% 0.18/0.40 % SZS output end Proof
% 0.18/0.40 (* END-PROOF *)
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