TSTP Solution File: SET143+4 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SET143+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 : n014.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 05:39:49 EDT 2022

% Result   : Theorem 0.20s 0.43s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET143+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jul  9 21:51:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.43  % SZS status Theorem
% 0.20/0.43  (* PROOF-FOUND *)
% 0.20/0.43  (* BEGIN-PROOF *)
% 0.20/0.43  % SZS output start Proof
% 0.20/0.43  1. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.20/0.43  2. (member T_0 T_2) (-. (member T_0 T_2))   ### Axiom
% 0.20/0.43  3. (member T_0 T_3) (-. (member T_0 T_3))   ### Axiom
% 0.20/0.43  4. (-. (member T_0 (intersection T_2 T_3))) (member T_0 T_3) (member T_0 T_2)   ### Extension/test/not_intersection 2 3
% 0.20/0.43  5. (-. (member T_0 (intersection T_1 (intersection T_2 T_3)))) (member T_0 T_2) (member T_0 T_3) (member T_0 T_1)   ### Extension/test/not_intersection 1 4
% 0.20/0.43  6. (member T_0 (intersection T_1 T_2)) (member T_0 T_3) (-. (member T_0 (intersection T_1 (intersection T_2 T_3))))   ### Extension/test/intersection 5
% 0.20/0.43  7. (member T_0 (intersection (intersection T_1 T_2) T_3)) (-. (member T_0 (intersection T_1 (intersection T_2 T_3))))   ### Extension/test/intersection 6
% 0.20/0.43  8. (-. (subset (intersection (intersection T_1 T_2) T_3) (intersection T_1 (intersection T_2 T_3))))   ### Extension/test/not_subset 7
% 0.20/0.43  9. (member T_4 T_1) (-. (member T_4 T_1))   ### Axiom
% 0.20/0.43  10. (member T_4 T_2) (-. (member T_4 T_2))   ### Axiom
% 0.20/0.43  11. (-. (member T_4 (intersection T_1 T_2))) (member T_4 T_2) (member T_4 T_1)   ### Extension/test/not_intersection 9 10
% 0.20/0.43  12. (member T_4 T_3) (-. (member T_4 T_3))   ### Axiom
% 0.20/0.43  13. (-. (member T_4 (intersection (intersection T_1 T_2) T_3))) (member T_4 T_3) (member T_4 T_1) (member T_4 T_2)   ### Extension/test/not_intersection 11 12
% 0.20/0.43  14. (member T_4 (intersection T_2 T_3)) (member T_4 T_1) (-. (member T_4 (intersection (intersection T_1 T_2) T_3)))   ### Extension/test/intersection 13
% 0.20/0.43  15. (member T_4 (intersection T_1 (intersection T_2 T_3))) (-. (member T_4 (intersection (intersection T_1 T_2) T_3)))   ### Extension/test/intersection 14
% 0.20/0.43  16. (-. (subset (intersection T_1 (intersection T_2 T_3)) (intersection (intersection T_1 T_2) T_3)))   ### Extension/test/not_subset 15
% 0.20/0.43  17. (-. (equal_set (intersection (intersection T_1 T_2) T_3) (intersection T_1 (intersection T_2 T_3))))   ### Extension/test/not_equal_set 8 16
% 0.20/0.43  18. (-. (All C, (equal_set (intersection (intersection T_1 T_2) C) (intersection T_1 (intersection T_2 C)))))   ### NotAllEx 17
% 0.20/0.43  19. (-. (All B, (All C, (equal_set (intersection (intersection T_1 B) C) (intersection T_1 (intersection B C))))))   ### NotAllEx 18
% 0.20/0.43  20. (-. (All A, (All B, (All C, (equal_set (intersection (intersection A B) C) (intersection A (intersection B C)))))))   ### NotAllEx 19
% 0.20/0.43  % SZS output end Proof
% 0.20/0.43  (* END-PROOF *)
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