TSTP Solution File: SET693+4 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SET693+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 : n011.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 05:43:25 EDT 2022

% Result   : Theorem 0.12s 0.39s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SET693+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n011.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 05:49:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.39  % SZS status Theorem
% 0.12/0.39  (* PROOF-FOUND *)
% 0.12/0.39  (* BEGIN-PROOF *)
% 0.12/0.39  % SZS output start Proof
% 0.12/0.39  1. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 0.12/0.39  2. (-. (member T_0 (union T_1 T_2))) (member T_0 T_1)   ### Extension/test/not_union 1
% 0.12/0.39  3. (-. (subset T_1 (union T_1 T_2)))   ### Extension/test/not_subset 2
% 0.12/0.39  4. (-. (member T_3 T_1)) (member T_3 T_1)   ### Axiom
% 0.12/0.39  5. (member T_3 T_2) (-. (member T_3 T_2))   ### Axiom
% 0.12/0.39  6. (-. (member T_3 T_1)) (member T_3 T_1)   ### Axiom
% 0.12/0.39  7. (subset T_2 T_1) (-. (member T_3 T_1)) (member T_3 T_2)   ### Extension/test/subset_inst 5 6
% 0.12/0.39  8. (member T_3 (union T_1 T_2)) (subset T_2 T_1) (-. (member T_3 T_1))   ### Extension/test/union 4 7
% 0.12/0.39  9. (-. (subset (union T_1 T_2) T_1)) (subset T_2 T_1)   ### Extension/test/not_subset 8
% 0.12/0.39  10. (-. (equal_set T_1 (union T_1 T_2))) (subset T_2 T_1)   ### Extension/test/not_equal_set 3 9
% 0.12/0.39  11. (member T_4 T_2) (-. (member T_4 T_2))   ### Axiom
% 0.12/0.39  12. (-. (member T_4 (union T_1 T_2))) (member T_4 T_2)   ### Extension/test/not_union 11
% 0.12/0.39  13. (-. (member T_4 T_1)) (member T_4 T_1)   ### Axiom
% 0.12/0.39  14. (subset (union T_1 T_2) T_1) (-. (member T_4 T_1)) (member T_4 T_2)   ### Extension/test/subset_inst 12 13
% 0.12/0.39  15. (-. (subset T_2 T_1)) (subset (union T_1 T_2) T_1)   ### Extension/test/not_subset 14
% 0.12/0.39  16. (equal_set T_1 (union T_1 T_2)) (-. (subset T_2 T_1))   ### Extension/test/equal_set 15
% 0.12/0.39  17. (-. ((equal_set T_1 (union T_1 T_2)) <=> (subset T_2 T_1)))   ### NotEquiv 10 16
% 0.12/0.39  18. (-. (All B, ((equal_set T_1 (union T_1 B)) <=> (subset B T_1))))   ### NotAllEx 17
% 0.12/0.39  19. (-. (All A, (All B, ((equal_set A (union A B)) <=> (subset B A)))))   ### NotAllEx 18
% 0.12/0.39  % SZS output end Proof
% 0.12/0.39  (* END-PROOF *)
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