TSTP Solution File: SET696+4 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SET696+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 : n024.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 05:43:26 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  : SET696+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jul  9 21:10:13 EDT 2022
% 0.13/0.34  % 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 (difference T_2 T_1)) (member T_0 T_1)   ### Extension/test/difference 1
% 0.19/0.40  3. (member T_0 (intersection (difference T_2 T_1) T_1))   ### Extension/test/intersection 2
% 0.19/0.40  4. (-. (subset (intersection (difference T_2 T_1) T_1) (empty_set)))   ### Extension/test/not_subset 3
% 0.19/0.40  5. (member T_3 (empty_set)) (-. (member T_3 (empty_set)))   ### Axiom
% 0.19/0.40  6. (All X, (-. (member X (empty_set)))) (member T_3 (empty_set))   ### All 5
% 0.19/0.40  7. (-. (subset (empty_set) (intersection (difference T_2 T_1) T_1))) (All X, (-. (member X (empty_set))))   ### Extension/test/not_subset 6
% 0.19/0.40  8. (-. (equal_set (intersection (difference T_2 T_1) T_1) (empty_set))) (All X, (-. (member X (empty_set))))   ### Extension/test/not_equal_set 4 7
% 0.19/0.40  9. (-. ((subset T_1 T_2) => (equal_set (intersection (difference T_2 T_1) T_1) (empty_set)))) (All X, (-. (member X (empty_set))))   ### NotImply 8
% 0.19/0.40  10. (-. (All E, ((subset T_1 E) => (equal_set (intersection (difference E T_1) T_1) (empty_set))))) (All X, (-. (member X (empty_set))))   ### NotAllEx 9
% 0.19/0.40  11. (-. (All A, (All E, ((subset A E) => (equal_set (intersection (difference E A) A) (empty_set)))))) (All X, (-. (member X (empty_set))))   ### NotAllEx 10
% 0.19/0.40  % SZS output end Proof
% 0.19/0.40  (* END-PROOF *)
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