TSTP Solution File: SET615+3 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SET615+3 : 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 : n021.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 05:42:48 EDT 2022

% Result   : Theorem 0.20s 0.41s
% 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
% 0.06/0.12  % Problem  : SET615+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34  % Computer : n021.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
% 0.13/0.34  % DateTime : Mon Jul 11 07:42:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.41  % SZS status Theorem
% 0.20/0.41  (* PROOF-FOUND *)
% 0.20/0.41  (* BEGIN-PROOF *)
% 0.20/0.41  % SZS output start Proof
% 0.20/0.41  1. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.20/0.41  2. (-. (member T_0 (union T_1 T_2))) (member T_0 T_1)   ### Extension/test/not_union_defn 1
% 0.20/0.41  3. (-. (member T_0 T_3)) (member T_0 T_3)   ### Axiom
% 0.20/0.41  4. (-. (member T_0 (difference (union T_1 T_2) T_3))) (-. (member T_0 T_3)) (member T_0 T_1)   ### Extension/test/not_difference_defn 2 3
% 0.20/0.41  5. (member T_0 (difference T_1 T_3)) (-. (member T_0 (difference (union T_1 T_2) T_3)))   ### Extension/test/difference_defn 4
% 0.20/0.41  6. (member T_0 T_2) (-. (member T_0 T_2))   ### Axiom
% 0.20/0.41  7. (-. (member T_0 (union T_1 T_2))) (member T_0 T_2)   ### Extension/test/not_union_defn 6
% 0.20/0.41  8. (-. (member T_0 T_3)) (member T_0 T_3)   ### Axiom
% 0.20/0.41  9. (-. (member T_0 (difference (union T_1 T_2) T_3))) (-. (member T_0 T_3)) (member T_0 T_2)   ### Extension/test/not_difference_defn 7 8
% 0.20/0.41  10. (member T_0 (difference T_2 T_3)) (-. (member T_0 (difference (union T_1 T_2) T_3)))   ### Extension/test/difference_defn 9
% 0.20/0.41  11. (member T_0 (union (difference T_1 T_3) (difference T_2 T_3))) (-. (member T_0 (difference (union T_1 T_2) T_3)))   ### Extension/test/union_defn 5 10
% 0.20/0.41  12. (-. (member T_0 T_1)) (member T_0 T_1)   ### Axiom
% 0.20/0.41  13. (-. (member T_0 T_2)) (member T_0 T_2)   ### Axiom
% 0.20/0.41  14. (member T_0 (union T_1 T_2)) (-. (member T_0 T_2)) (-. (member T_0 T_1))   ### Extension/test/union_defn 12 13
% 0.20/0.41  15. (-. (member T_0 T_3)) (member T_0 T_3)   ### Axiom
% 0.20/0.41  16. (-. (member T_0 (difference T_1 T_3))) (-. (member T_0 T_3)) (-. (member T_0 T_2)) (member T_0 (union T_1 T_2))   ### Extension/test/not_difference_defn 14 15
% 0.20/0.41  17. (-. (member T_0 T_3)) (member T_0 T_3)   ### Axiom
% 0.20/0.41  18. (-. (member T_0 (difference T_2 T_3))) (member T_0 (union T_1 T_2)) (-. (member T_0 T_3)) (-. (member T_0 (difference T_1 T_3)))   ### Extension/test/not_difference_defn 16 17
% 0.20/0.41  19. (-. (member T_0 (union (difference T_1 T_3) (difference T_2 T_3)))) (-. (member T_0 T_3)) (member T_0 (union T_1 T_2))   ### Extension/test/not_union_defn 18
% 0.20/0.41  20. (member T_0 (difference (union T_1 T_2) T_3)) (-. (member T_0 (union (difference T_1 T_3) (difference T_2 T_3))))   ### Extension/test/difference_defn 19
% 0.20/0.41  21. ((difference (union T_1 T_2) T_3) != (union (difference T_1 T_3) (difference T_2 T_3)))   ### Extension/test/not_equal_member_defn 11 20
% 0.20/0.41  22. (-. (All D, ((difference (union T_1 T_2) D) = (union (difference T_1 D) (difference T_2 D)))))   ### NotAllEx 21
% 0.20/0.41  23. (-. (All C, (All D, ((difference (union T_1 C) D) = (union (difference T_1 D) (difference C D))))))   ### NotAllEx 22
% 0.20/0.41  24. (-. (All B, (All C, (All D, ((difference (union B C) D) = (union (difference B D) (difference C D)))))))   ### NotAllEx 23
% 0.20/0.41  % SZS output end Proof
% 0.20/0.41  (* END-PROOF *)
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