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SuperZenon---0.0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET753+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 : 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 05:43:45 EDT 2022

% Result   : Theorem 1.03s 1.21s
% Output   : Proof 1.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET753+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33  % Computer : n013.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 : Mon Jul 11 07:36:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.03/1.21  % SZS status Theorem
% 1.03/1.21  (* PROOF-FOUND *)
% 1.03/1.21  (* BEGIN-PROOF *)
% 1.03/1.21  % SZS output start Proof
% 1.03/1.21  1. (member T_0 T_1) (-. (member T_0 T_1))   ### Axiom
% 1.03/1.21  2. (apply T_2 T_0 T_3) (-. (apply T_2 T_0 T_3))   ### Axiom
% 1.03/1.21  3. (-. (member T_3 (image2 T_2 T_1))) (apply T_2 T_0 T_3) (member T_0 T_1)   ### Extension/test/not_image2_inst 1 2
% 1.03/1.21  4. (member T_0 T_4) (-. (member T_0 T_4))   ### Axiom
% 1.03/1.21  5. (apply T_2 T_0 T_3) (-. (apply T_2 T_0 T_3))   ### Axiom
% 1.03/1.21  6. (-. (member T_3 (image2 T_2 T_4))) (apply T_2 T_0 T_3) (member T_0 T_4)   ### Extension/test/not_image2_inst 4 5
% 1.03/1.21  7. (-. (member T_3 (intersection (image2 T_2 T_1) (image2 T_2 T_4)))) (member T_0 T_4) (member T_0 T_1) (apply T_2 T_0 T_3)   ### Extension/test/not_intersection 3 6
% 1.03/1.21  8. (member T_0 (intersection T_1 T_4)) (apply T_2 T_0 T_3) (-. (member T_3 (intersection (image2 T_2 T_1) (image2 T_2 T_4))))   ### Extension/test/intersection 7
% 1.03/1.21  9. (member T_3 (image2 T_2 (intersection T_1 T_4))) (-. (member T_3 (intersection (image2 T_2 T_1) (image2 T_2 T_4))))   ### Extension/test/image2 8
% 1.03/1.21  10. (-. (subset (image2 T_2 (intersection T_1 T_4)) (intersection (image2 T_2 T_1) (image2 T_2 T_4))))   ### Extension/test/not_subset 9
% 1.03/1.21  11. (-. (((maps T_2 T_5 T_6) /\ ((subset T_1 T_5) /\ (subset T_4 T_5))) => (subset (image2 T_2 (intersection T_1 T_4)) (intersection (image2 T_2 T_1) (image2 T_2 T_4)))))   ### ConjTree 10
% 1.03/1.21  12. (-. (All Y, (((maps T_2 T_5 T_6) /\ ((subset T_1 T_5) /\ (subset Y T_5))) => (subset (image2 T_2 (intersection T_1 Y)) (intersection (image2 T_2 T_1) (image2 T_2 Y))))))   ### NotAllEx 11
% 1.03/1.21  13. (-. (All X, (All Y, (((maps T_2 T_5 T_6) /\ ((subset X T_5) /\ (subset Y T_5))) => (subset (image2 T_2 (intersection X Y)) (intersection (image2 T_2 X) (image2 T_2 Y)))))))   ### NotAllEx 12
% 1.03/1.21  14. (-. (All B, (All X, (All Y, (((maps T_2 T_5 B) /\ ((subset X T_5) /\ (subset Y T_5))) => (subset (image2 T_2 (intersection X Y)) (intersection (image2 T_2 X) (image2 T_2 Y))))))))   ### NotAllEx 13
% 1.03/1.21  15. (-. (All A, (All B, (All X, (All Y, (((maps T_2 A B) /\ ((subset X A) /\ (subset Y A))) => (subset (image2 T_2 (intersection X Y)) (intersection (image2 T_2 X) (image2 T_2 Y)))))))))   ### NotAllEx 14
% 1.03/1.21  16. (-. (All F, (All A, (All B, (All X, (All Y, (((maps F A B) /\ ((subset X A) /\ (subset Y A))) => (subset (image2 F (intersection X Y)) (intersection (image2 F X) (image2 F Y))))))))))   ### NotAllEx 15
% 1.03/1.21  % SZS output end Proof
% 1.03/1.21  (* END-PROOF *)
%------------------------------------------------------------------------------