TSTP Solution File: SET171+4 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SET171+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 : n023.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 05:40:05 EDT 2022

% Result   : Theorem 0.22s 0.44s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SET171+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.15  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sun Jul 10 06:45:10 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.44  % SZS status Theorem
% 0.22/0.44  (* PROOF-FOUND *)
% 0.22/0.44  (* BEGIN-PROOF *)
% 0.22/0.44  % SZS output start Proof
% 0.22/0.44  1. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.22/0.44  2. (-. (member T_0 (union T_1 T_2))) (member T_0 T_1)   ### Extension/test/not_union 1
% 0.22/0.44  3. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.22/0.44  4. (-. (member T_0 (union T_1 T_3))) (member T_0 T_1)   ### Extension/test/not_union 3
% 0.22/0.44  5. (-. (member T_0 (intersection (union T_1 T_2) (union T_1 T_3)))) (member T_0 T_1)   ### Extension/test/not_intersection 2 4
% 0.22/0.44  6. (member T_0 T_2) (-. (member T_0 T_2))   ### Axiom
% 0.22/0.44  7. (-. (member T_0 (union T_1 T_2))) (member T_0 T_2)   ### Extension/test/not_union 6
% 0.22/0.44  8. (member T_0 T_3) (-. (member T_0 T_3))   ### Axiom
% 0.22/0.44  9. (-. (member T_0 (union T_1 T_3))) (member T_0 T_3)   ### Extension/test/not_union 8
% 0.22/0.44  10. (-. (member T_0 (intersection (union T_1 T_2) (union T_1 T_3)))) (member T_0 T_3) (member T_0 T_2)   ### Extension/test/not_intersection 7 9
% 0.22/0.44  11. (member T_0 (intersection T_2 T_3)) (-. (member T_0 (intersection (union T_1 T_2) (union T_1 T_3))))   ### Extension/test/intersection 10
% 0.22/0.44  12. (member T_0 (union T_1 (intersection T_2 T_3))) (-. (member T_0 (intersection (union T_1 T_2) (union T_1 T_3))))   ### Extension/test/union 5 11
% 0.22/0.44  13. (-. (subset (union T_1 (intersection T_2 T_3)) (intersection (union T_1 T_2) (union T_1 T_3))))   ### Extension/test/not_subset 12
% 0.22/0.44  14. (-. (member T_4 T_1)) (member T_4 T_1)   ### Axiom
% 0.22/0.44  15. (-. (member T_4 T_2)) (member T_4 T_2)   ### Axiom
% 0.22/0.44  16. (member T_4 (union T_1 T_2)) (-. (member T_4 T_2)) (-. (member T_4 T_1))   ### Extension/test/union 14 15
% 0.22/0.44  17. (-. (member T_4 T_1)) (member T_4 T_1)   ### Axiom
% 0.22/0.44  18. (-. (member T_4 T_3)) (member T_4 T_3)   ### Axiom
% 0.22/0.44  19. (member T_4 (union T_1 T_3)) (-. (member T_4 T_3)) (-. (member T_4 T_1))   ### Extension/test/union 17 18
% 0.22/0.44  20. (-. (member T_4 (intersection T_2 T_3))) (member T_4 (union T_1 T_3)) (-. (member T_4 T_1)) (member T_4 (union T_1 T_2))   ### Extension/test/not_intersection 16 19
% 0.22/0.44  21. (-. (member T_4 (union T_1 (intersection T_2 T_3)))) (member T_4 (union T_1 T_2)) (member T_4 (union T_1 T_3))   ### Extension/test/not_union 20
% 0.22/0.44  22. (member T_4 (intersection (union T_1 T_2) (union T_1 T_3))) (-. (member T_4 (union T_1 (intersection T_2 T_3))))   ### Extension/test/intersection 21
% 0.22/0.44  23. (-. (subset (intersection (union T_1 T_2) (union T_1 T_3)) (union T_1 (intersection T_2 T_3))))   ### Extension/test/not_subset 22
% 0.22/0.44  24. (-. (equal_set (union T_1 (intersection T_2 T_3)) (intersection (union T_1 T_2) (union T_1 T_3))))   ### Extension/test/not_equal_set 13 23
% 0.22/0.44  25. (-. (All C, (equal_set (union T_1 (intersection T_2 C)) (intersection (union T_1 T_2) (union T_1 C)))))   ### NotAllEx 24
% 0.22/0.44  26. (-. (All B, (All C, (equal_set (union T_1 (intersection B C)) (intersection (union T_1 B) (union T_1 C))))))   ### NotAllEx 25
% 0.22/0.44  27. (-. (All A, (All B, (All C, (equal_set (union A (intersection B C)) (intersection (union A B) (union A C)))))))   ### NotAllEx 26
% 0.22/0.44  % SZS output end Proof
% 0.22/0.44  (* END-PROOF *)
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