TSTP Solution File: SET358+4 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SET358+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 : n005.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 05:41:11 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
% 0.03/0.11  % Problem  : SET358+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.32  % Computer : n005.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jul 10 00:47:37 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 (union T_1 T_2))) (member T_0 T_1)   ### Extension/test/not_union 1
% 0.18/0.40  3. (member T_3 T_0) (-. (member T_3 T_0))   ### Axiom
% 0.18/0.40  4. (-. (member T_3 (sum (union T_1 T_2)))) (member T_3 T_0) (member T_0 T_1)   ### Extension/test/not_sum_inst 2 3
% 0.18/0.40  5. (member T_3 (sum T_1)) (-. (member T_3 (sum (union T_1 T_2))))   ### Extension/test/sum 4
% 0.18/0.40  6. (member T_4 T_2) (-. (member T_4 T_2))   ### Axiom
% 0.18/0.40  7. (-. (member T_4 (union T_1 T_2))) (member T_4 T_2)   ### Extension/test/not_union 6
% 0.18/0.40  8. (member T_3 T_4) (-. (member T_3 T_4))   ### Axiom
% 0.18/0.40  9. (-. (member T_3 (sum (union T_1 T_2)))) (member T_3 T_4) (member T_4 T_2)   ### Extension/test/not_sum_inst 7 8
% 0.18/0.40  10. (member T_3 (sum T_2)) (-. (member T_3 (sum (union T_1 T_2))))   ### Extension/test/sum 9
% 0.18/0.40  11. (member T_3 (union (sum T_1) (sum T_2))) (-. (member T_3 (sum (union T_1 T_2))))   ### Extension/test/union 5 10
% 0.18/0.40  12. (-. (subset (union (sum T_1) (sum T_2)) (sum (union T_1 T_2))))   ### Extension/test/not_subset 11
% 0.18/0.40  13. (member T_5 T_1) (-. (member T_5 T_1))   ### Axiom
% 0.18/0.40  14. (member T_6 T_5) (-. (member T_6 T_5))   ### Axiom
% 0.18/0.40  15. (-. (member T_6 (sum T_1))) (member T_6 T_5) (member T_5 T_1)   ### Extension/test/not_sum_inst 13 14
% 0.18/0.40  16. (member T_5 T_2) (-. (member T_5 T_2))   ### Axiom
% 0.18/0.40  17. (member T_6 T_5) (-. (member T_6 T_5))   ### Axiom
% 0.18/0.40  18. (-. (member T_6 (sum T_2))) (member T_6 T_5) (member T_5 T_2)   ### Extension/test/not_sum_inst 16 17
% 0.18/0.40  19. (member T_5 (union T_1 T_2)) (-. (member T_6 (sum T_2))) (member T_6 T_5) (-. (member T_6 (sum T_1)))   ### Extension/test/union 15 18
% 0.18/0.40  20. (-. (member T_6 (union (sum T_1) (sum T_2)))) (member T_6 T_5) (member T_5 (union T_1 T_2))   ### Extension/test/not_union 19
% 0.18/0.40  21. (member T_6 (sum (union T_1 T_2))) (-. (member T_6 (union (sum T_1) (sum T_2))))   ### Extension/test/sum 20
% 0.18/0.40  22. (-. (subset (sum (union T_1 T_2)) (union (sum T_1) (sum T_2))))   ### Extension/test/not_subset 21
% 0.18/0.40  23. (-. (equal_set (union (sum T_1) (sum T_2)) (sum (union T_1 T_2))))   ### Extension/test/not_equal_set 12 22
% 0.18/0.40  24. (-. (All B, (equal_set (union (sum T_1) (sum B)) (sum (union T_1 B)))))   ### NotAllEx 23
% 0.18/0.40  25. (-. (All A, (All B, (equal_set (union (sum A) (sum B)) (sum (union A B))))))   ### NotAllEx 24
% 0.18/0.40  % SZS output end Proof
% 0.18/0.40  (* END-PROOF *)
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