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SuperZenon---0.0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET199+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 : n024.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 05:40:19 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
% 0.03/0.12  % Problem  : SET199+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 01:58:58 EDT 2022
% 0.12/0.34  % 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_0 T_2)) (member T_0 T_2)   ### Axiom
% 0.19/0.41  3. (member T_0 (intersection T_2 T_3)) (-. (member T_0 T_2))   ### Extension/test/intersection 2
% 0.19/0.41  4. (subset T_1 (intersection T_2 T_3)) (-. (member T_0 T_2)) (member T_0 T_1)   ### Extension/test/subset_inst 1 3
% 0.19/0.41  5. (-. (subset T_1 T_2)) (subset T_1 (intersection T_2 T_3))   ### Extension/test/not_subset 4
% 0.19/0.41  6. (member T_4 T_1) (-. (member T_4 T_1))   ### Axiom
% 0.19/0.41  7. (-. (member T_4 T_3)) (member T_4 T_3)   ### Axiom
% 0.19/0.41  8. (member T_4 (intersection T_2 T_3)) (-. (member T_4 T_3))   ### Extension/test/intersection 7
% 0.19/0.41  9. (subset T_1 (intersection T_2 T_3)) (-. (member T_4 T_3)) (member T_4 T_1)   ### Extension/test/subset_inst 6 8
% 0.19/0.41  10. (-. (subset T_1 T_3)) (subset T_1 (intersection T_2 T_3))   ### Extension/test/not_subset 9
% 0.19/0.41  11. (-. ((subset T_1 T_2) /\ (subset T_1 T_3))) (subset T_1 (intersection T_2 T_3))   ### NotAnd 5 10
% 0.19/0.41  12. (member T_5 T_1) (-. (member T_5 T_1))   ### Axiom
% 0.19/0.41  13. (-. (member T_5 T_2)) (member T_5 T_2)   ### Axiom
% 0.19/0.41  14. (subset T_1 T_2) (-. (member T_5 T_2)) (member T_5 T_1)   ### Extension/test/subset_inst 12 13
% 0.19/0.41  15. (member T_5 T_1) (-. (member T_5 T_1))   ### Axiom
% 0.19/0.41  16. (-. (member T_5 T_3)) (member T_5 T_3)   ### Axiom
% 0.19/0.41  17. (subset T_1 T_3) (-. (member T_5 T_3)) (member T_5 T_1)   ### Extension/test/subset_inst 15 16
% 0.19/0.41  18. (-. (member T_5 (intersection T_2 T_3))) (subset T_1 T_3) (member T_5 T_1) (subset T_1 T_2)   ### Extension/test/not_intersection 14 17
% 0.19/0.41  19. (-. (subset T_1 (intersection T_2 T_3))) (subset T_1 T_2) (subset T_1 T_3)   ### Extension/test/not_subset 18
% 0.19/0.41  20. ((subset T_1 T_2) /\ (subset T_1 T_3)) (-. (subset T_1 (intersection T_2 T_3)))   ### And 19
% 0.19/0.41  21. (-. (((subset T_1 T_2) /\ (subset T_1 T_3)) <=> (subset T_1 (intersection T_2 T_3))))   ### NotEquiv 11 20
% 0.19/0.41  22. (-. (All Y, (((subset T_1 T_2) /\ (subset T_1 Y)) <=> (subset T_1 (intersection T_2 Y)))))   ### NotAllEx 21
% 0.19/0.41  23. (-. (All X, (All Y, (((subset T_1 X) /\ (subset T_1 Y)) <=> (subset T_1 (intersection X Y))))))   ### NotAllEx 22
% 0.19/0.41  24. (-. (All A, (All X, (All Y, (((subset A X) /\ (subset A Y)) <=> (subset A (intersection X Y)))))))   ### NotAllEx 23
% 0.19/0.41  % SZS output end Proof
% 0.19/0.41  (* END-PROOF *)
%------------------------------------------------------------------------------