TSTP Solution File: SET634+3 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SET634+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 : n013.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 05:43:01 EDT 2022

% Result   : Theorem 0.19s 0.40s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET634+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 00:23:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.40  % SZS status Theorem
% 0.19/0.40  (* PROOF-FOUND *)
% 0.19/0.40  (* BEGIN-PROOF *)
% 0.19/0.40  % SZS output start Proof
% 0.19/0.40  1. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.19/0.40  2. (member T_0 T_2) (-. (member T_0 T_2))   ### Axiom
% 0.19/0.40  3. (-. (member T_0 T_3)) (member T_0 T_3)   ### Axiom
% 0.19/0.40  4. (-. (member T_0 (difference T_2 T_3))) (-. (member T_0 T_3)) (member T_0 T_2)   ### Extension/test/not_difference_defn 2 3
% 0.19/0.40  5. (-. (member T_0 (intersection T_1 (difference T_2 T_3)))) (member T_0 T_2) (-. (member T_0 T_3)) (member T_0 T_1)   ### Extension/test/not_intersection_defn 1 4
% 0.19/0.40  6. (member T_0 (intersection T_1 T_2)) (-. (member T_0 T_3)) (-. (member T_0 (intersection T_1 (difference T_2 T_3))))   ### Extension/test/intersection_defn 5
% 0.19/0.40  7. (member T_0 (difference (intersection T_1 T_2) T_3)) (-. (member T_0 (intersection T_1 (difference T_2 T_3))))   ### Extension/test/difference_defn 6
% 0.19/0.40  8. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.19/0.40  9. (member T_0 T_2) (-. (member T_0 T_2))   ### Axiom
% 0.19/0.40  10. (-. (member T_0 (intersection T_1 T_2))) (member T_0 T_2) (member T_0 T_1)   ### Extension/test/not_intersection_defn 8 9
% 0.19/0.40  11. (-. (member T_0 T_3)) (member T_0 T_3)   ### Axiom
% 0.19/0.40  12. (-. (member T_0 (difference (intersection T_1 T_2) T_3))) (-. (member T_0 T_3)) (member T_0 T_1) (member T_0 T_2)   ### Extension/test/not_difference_defn 10 11
% 0.19/0.40  13. (member T_0 (difference T_2 T_3)) (member T_0 T_1) (-. (member T_0 (difference (intersection T_1 T_2) T_3)))   ### Extension/test/difference_defn 12
% 0.19/0.40  14. (member T_0 (intersection T_1 (difference T_2 T_3))) (-. (member T_0 (difference (intersection T_1 T_2) T_3)))   ### Extension/test/intersection_defn 13
% 0.19/0.40  15. ((intersection T_1 (difference T_2 T_3)) != (difference (intersection T_1 T_2) T_3))   ### Extension/test/not_equal_member_defn 7 14
% 0.19/0.40  16. (-. (All D, ((intersection T_1 (difference T_2 D)) = (difference (intersection T_1 T_2) D))))   ### NotAllEx 15
% 0.19/0.40  17. (-. (All C, (All D, ((intersection T_1 (difference C D)) = (difference (intersection T_1 C) D)))))   ### NotAllEx 16
% 0.19/0.40  18. (-. (All B, (All C, (All D, ((intersection B (difference C D)) = (difference (intersection B C) D))))))   ### NotAllEx 17
% 0.19/0.40  % SZS output end Proof
% 0.19/0.40  (* END-PROOF *)
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