TSTP Solution File: SET752+4 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET752+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 : n007.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 1.21s 1.40s
% Output : Proof 1.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET752+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n007.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 : Sun Jul 10 14:36:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.21/1.40 % SZS status Theorem
% 1.21/1.40 (* PROOF-FOUND *)
% 1.21/1.40 (* BEGIN-PROOF *)
% 1.21/1.40 % SZS output start Proof
% 1.21/1.40 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 1.21/1.40 2. (apply T_2 T_0 T_3) (-. (apply T_2 T_0 T_3)) ### Axiom
% 1.21/1.40 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
% 1.21/1.40 4. (member T_0 T_4) (-. (member T_0 T_4)) ### Axiom
% 1.21/1.40 5. (apply T_2 T_0 T_3) (-. (apply T_2 T_0 T_3)) ### Axiom
% 1.21/1.40 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
% 1.21/1.40 7. (member T_0 (union T_1 T_4)) (-. (member T_3 (image2 T_2 T_4))) (apply T_2 T_0 T_3) (-. (member T_3 (image2 T_2 T_1))) ### Extension/test/union 3 6
% 1.21/1.40 8. (-. (member T_3 (union (image2 T_2 T_1) (image2 T_2 T_4)))) (apply T_2 T_0 T_3) (member T_0 (union T_1 T_4)) ### Extension/test/not_union 7
% 1.21/1.40 9. (member T_3 (image2 T_2 (union T_1 T_4))) (-. (member T_3 (union (image2 T_2 T_1) (image2 T_2 T_4)))) ### Extension/test/image2 8
% 1.21/1.40 10. (-. (subset (image2 T_2 (union T_1 T_4)) (union (image2 T_2 T_1) (image2 T_2 T_4)))) ### Extension/test/not_subset 9
% 1.21/1.40 11. (member T_5 T_1) (-. (member T_5 T_1)) ### Axiom
% 1.21/1.40 12. (-. (member T_5 (union T_1 T_4))) (member T_5 T_1) ### Extension/test/not_union 11
% 1.21/1.40 13. (apply T_2 T_5 T_6) (-. (apply T_2 T_5 T_6)) ### Axiom
% 1.21/1.40 14. (-. (member T_6 (image2 T_2 (union T_1 T_4)))) (apply T_2 T_5 T_6) (member T_5 T_1) ### Extension/test/not_image2_inst 12 13
% 1.21/1.40 15. (member T_6 (image2 T_2 T_1)) (-. (member T_6 (image2 T_2 (union T_1 T_4)))) ### Extension/test/image2 14
% 1.21/1.40 16. (member T_7 T_4) (-. (member T_7 T_4)) ### Axiom
% 1.21/1.40 17. (-. (member T_7 (union T_1 T_4))) (member T_7 T_4) ### Extension/test/not_union 16
% 1.21/1.40 18. (apply T_2 T_7 T_6) (-. (apply T_2 T_7 T_6)) ### Axiom
% 1.21/1.40 19. (-. (member T_6 (image2 T_2 (union T_1 T_4)))) (apply T_2 T_7 T_6) (member T_7 T_4) ### Extension/test/not_image2_inst 17 18
% 1.21/1.40 20. (member T_6 (image2 T_2 T_4)) (-. (member T_6 (image2 T_2 (union T_1 T_4)))) ### Extension/test/image2 19
% 1.21/1.40 21. (member T_6 (union (image2 T_2 T_1) (image2 T_2 T_4))) (-. (member T_6 (image2 T_2 (union T_1 T_4)))) ### Extension/test/union 15 20
% 1.21/1.40 22. (-. (subset (union (image2 T_2 T_1) (image2 T_2 T_4)) (image2 T_2 (union T_1 T_4)))) ### Extension/test/not_subset 21
% 1.21/1.40 23. (-. (equal_set (image2 T_2 (union T_1 T_4)) (union (image2 T_2 T_1) (image2 T_2 T_4)))) ### Extension/test/not_equal_set 10 22
% 1.21/1.40 24. (-. (((maps T_2 T_8 T_9) /\ ((subset T_1 T_8) /\ (subset T_4 T_8))) => (equal_set (image2 T_2 (union T_1 T_4)) (union (image2 T_2 T_1) (image2 T_2 T_4))))) ### ConjTree 23
% 1.21/1.40 25. (-. (All Y, (((maps T_2 T_8 T_9) /\ ((subset T_1 T_8) /\ (subset Y T_8))) => (equal_set (image2 T_2 (union T_1 Y)) (union (image2 T_2 T_1) (image2 T_2 Y)))))) ### NotAllEx 24
% 1.21/1.40 26. (-. (All X, (All Y, (((maps T_2 T_8 T_9) /\ ((subset X T_8) /\ (subset Y T_8))) => (equal_set (image2 T_2 (union X Y)) (union (image2 T_2 X) (image2 T_2 Y))))))) ### NotAllEx 25
% 1.21/1.40 27. (-. (All B, (All X, (All Y, (((maps T_2 T_8 B) /\ ((subset X T_8) /\ (subset Y T_8))) => (equal_set (image2 T_2 (union X Y)) (union (image2 T_2 X) (image2 T_2 Y)))))))) ### NotAllEx 26
% 1.21/1.40 28. (-. (All A, (All B, (All X, (All Y, (((maps T_2 A B) /\ ((subset X A) /\ (subset Y A))) => (equal_set (image2 T_2 (union X Y)) (union (image2 T_2 X) (image2 T_2 Y))))))))) ### NotAllEx 27
% 1.21/1.40 29. (-. (All F, (All A, (All B, (All X, (All Y, (((maps F A B) /\ ((subset X A) /\ (subset Y A))) => (equal_set (image2 F (union X Y)) (union (image2 F X) (image2 F Y)))))))))) ### NotAllEx 28
% 1.21/1.40 % SZS output end Proof
% 1.21/1.40 (* END-PROOF *)
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