TSTP Solution File: SET764+4 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 05:43:49 EDT 2022

% Result   : Theorem 0.11s 0.37s
% Output   : Proof 0.11s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.10/0.11  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jul 11 02:46:42 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.37  % SZS status Theorem
% 0.11/0.37  (* PROOF-FOUND *)
% 0.11/0.37  (* BEGIN-PROOF *)
% 0.11/0.37  % SZS output start Proof
% 0.11/0.37  1. (member T_0 (empty_set)) (-. (member T_0 (empty_set)))   ### Axiom
% 0.11/0.37  2. (All X, (-. (member X (empty_set)))) (member T_0 (empty_set))   ### All 1
% 0.11/0.37  3. (member T_1 (inverse_image2 T_2 (empty_set))) (All X, (-. (member X (empty_set))))   ### Extension/test/inverse_image2 2
% 0.11/0.37  4. (-. (subset (inverse_image2 T_2 (empty_set)) (empty_set))) (All X, (-. (member X (empty_set))))   ### Extension/test/not_subset 3
% 0.11/0.37  5. (member T_3 (empty_set)) (-. (member T_3 (empty_set)))   ### Axiom
% 0.11/0.37  6. (All X, (-. (member X (empty_set)))) (member T_3 (empty_set))   ### All 5
% 0.11/0.37  7. (-. (subset (empty_set) (inverse_image2 T_2 (empty_set)))) (All X, (-. (member X (empty_set))))   ### Extension/test/not_subset 6
% 0.11/0.37  8. (-. (equal_set (inverse_image2 T_2 (empty_set)) (empty_set))) (All X, (-. (member X (empty_set))))   ### Extension/test/not_equal_set 4 7
% 0.11/0.37  9. (-. ((maps T_2 T_4 T_5) => (equal_set (inverse_image2 T_2 (empty_set)) (empty_set)))) (All X, (-. (member X (empty_set))))   ### NotImply 8
% 0.11/0.37  10. (-. (All B, ((maps T_2 T_4 B) => (equal_set (inverse_image2 T_2 (empty_set)) (empty_set))))) (All X, (-. (member X (empty_set))))   ### NotAllEx 9
% 0.11/0.37  11. (-. (All A, (All B, ((maps T_2 A B) => (equal_set (inverse_image2 T_2 (empty_set)) (empty_set)))))) (All X, (-. (member X (empty_set))))   ### NotAllEx 10
% 0.11/0.37  12. (-. (All F, (All A, (All B, ((maps F A B) => (equal_set (inverse_image2 F (empty_set)) (empty_set))))))) (All X, (-. (member X (empty_set))))   ### NotAllEx 11
% 0.11/0.37  % SZS output end Proof
% 0.11/0.37  (* END-PROOF *)
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