TSTP Solution File: SET617+3 by SuperZenon---0.0.1
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% File : SuperZenon---0.0.1
% Problem : SET617+3 : 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 : 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 05:42:49 EDT 2022
% Result : Theorem 283.53s 284.27s
% Output : Proof 283.53s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET617+3 : TPTP v8.1.0. Released v2.2.0.
% 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 07:43:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 283.53/284.27 % SZS status Theorem
% 283.53/284.27 (* PROOF-FOUND *)
% 283.53/284.27 (* BEGIN-PROOF *)
% 283.53/284.27 % SZS output start Proof
% 283.53/284.27 1. ((difference T_0 (empty_set)) != T_0) ((difference T_0 (empty_set)) = T_0) ### Axiom
% 283.53/284.27 2. (All B, ((difference B (empty_set)) = B)) ((difference T_0 (empty_set)) != T_0) ### All 1
% 283.53/284.27 3. ((difference (empty_set) T_0) != (empty_set)) ((difference (empty_set) T_0) = (empty_set)) ### Axiom
% 283.53/284.27 4. (All B, ((difference (empty_set) B) = (empty_set))) ((difference (empty_set) T_0) != (empty_set)) ### All 3
% 283.53/284.27 5. ((union (difference T_0 (empty_set)) (difference (empty_set) T_0)) != (union T_0 (empty_set))) (All B, ((difference (empty_set) B) = (empty_set))) (All B, ((difference B (empty_set)) = B)) ### NotEqual 2 4
% 283.53/284.27 6. (T_0 != T_0) ### Refl(=)
% 283.53/284.27 7. (T_0 != T_0) ### Refl(=)
% 283.53/284.27 8. ((union (difference T_0 (empty_set)) (difference (empty_set) T_0)) != T_0) ((union T_0 (empty_set)) = T_0) (All B, ((difference B (empty_set)) = B)) (All B, ((difference (empty_set) B) = (empty_set))) ### TransEq 5 6 7
% 283.53/284.27 9. (All B, ((union B (empty_set)) = B)) (All B, ((difference (empty_set) B) = (empty_set))) (All B, ((difference B (empty_set)) = B)) ((union (difference T_0 (empty_set)) (difference (empty_set) T_0)) != T_0) ### All 8
% 283.53/284.27 10. ((symmetric_difference T_0 (empty_set)) != T_0) (All B, ((difference B (empty_set)) = B)) (All B, ((difference (empty_set) B) = (empty_set))) (All B, ((union B (empty_set)) = B)) ### Definition-Pseudo(symmetric_difference) 9
% 283.53/284.27 11. ((difference T_0 (empty_set)) = T_0) (T_0 != (difference T_0 (empty_set))) ### Sym(=)
% 283.53/284.27 12. ((empty_set) != (difference (empty_set) T_0)) ((difference (empty_set) T_0) = (empty_set)) ### Sym(=)
% 283.53/284.27 13. (All B, ((difference (empty_set) B) = (empty_set))) ((empty_set) != (difference (empty_set) T_0)) ### All 12
% 283.53/284.27 14. ((union T_0 (empty_set)) != (union (difference T_0 (empty_set)) (difference (empty_set) T_0))) (All B, ((difference (empty_set) B) = (empty_set))) ((difference T_0 (empty_set)) = T_0) ### NotEqual 11 13
% 283.53/284.27 15. ((union (difference (empty_set) T_0) (difference T_0 (empty_set))) != (union (difference (empty_set) T_0) (difference T_0 (empty_set)))) ### Refl(=)
% 283.53/284.27 16. ((union (difference (empty_set) T_0) (difference T_0 (empty_set))) != (union (difference (empty_set) T_0) (difference T_0 (empty_set)))) ### Refl(=)
% 283.53/284.27 17. ((union (difference (empty_set) T_0) (difference T_0 (empty_set))) != (union T_0 (empty_set))) ((union (difference T_0 (empty_set)) (difference (empty_set) T_0)) = (union (difference (empty_set) T_0) (difference T_0 (empty_set)))) ((difference T_0 (empty_set)) = T_0) (All B, ((difference (empty_set) B) = (empty_set))) ### TransEq-sym 14 15 16
% 283.53/284.27 18. ((union (difference T_0 (empty_set)) (difference (empty_set) T_0)) = (symmetric_difference (empty_set) T_0)) (All B, ((difference (empty_set) B) = (empty_set))) ((difference T_0 (empty_set)) = T_0) ((union (difference (empty_set) T_0) (difference T_0 (empty_set))) != (union T_0 (empty_set))) ### Definition-Pseudo(symmetric_difference) 17
% 283.53/284.27 19. ((symmetric_difference T_0 (empty_set)) = (symmetric_difference (empty_set) T_0)) ((union (difference (empty_set) T_0) (difference T_0 (empty_set))) != (union T_0 (empty_set))) ((difference T_0 (empty_set)) = T_0) (All B, ((difference (empty_set) B) = (empty_set))) ### Definition-Pseudo(symmetric_difference) 18
% 283.53/284.27 20. (All C, ((symmetric_difference T_0 C) = (symmetric_difference C T_0))) (All B, ((difference (empty_set) B) = (empty_set))) ((difference T_0 (empty_set)) = T_0) ((union (difference (empty_set) T_0) (difference T_0 (empty_set))) != (union T_0 (empty_set))) ### All 19
% 283.53/284.27 21. (T_0 != T_0) ### Refl(=)
% 283.53/284.27 22. (T_0 != T_0) ### Refl(=)
% 283.53/284.27 23. ((union (difference (empty_set) T_0) (difference T_0 (empty_set))) != T_0) ((union T_0 (empty_set)) = T_0) ((difference T_0 (empty_set)) = T_0) (All B, ((difference (empty_set) B) = (empty_set))) (All C, ((symmetric_difference T_0 C) = (symmetric_difference C T_0))) ### TransEq 20 21 22
% 283.53/284.27 24. (All B, ((difference B (empty_set)) = B)) (All C, ((symmetric_difference T_0 C) = (symmetric_difference C T_0))) (All B, ((difference (empty_set) B) = (empty_set))) ((union T_0 (empty_set)) = T_0) ((union (difference (empty_set) T_0) (difference T_0 (empty_set))) != T_0) ### All 23
% 283.53/284.27 25. (All B, (All C, ((symmetric_difference B C) = (symmetric_difference C B)))) ((union (difference (empty_set) T_0) (difference T_0 (empty_set))) != T_0) ((union T_0 (empty_set)) = T_0) (All B, ((difference (empty_set) B) = (empty_set))) (All B, ((difference B (empty_set)) = B)) ### All 24
% 283.53/284.27 26. (All B, ((union B (empty_set)) = B)) (All B, ((difference B (empty_set)) = B)) (All B, ((difference (empty_set) B) = (empty_set))) ((union (difference (empty_set) T_0) (difference T_0 (empty_set))) != T_0) (All B, (All C, ((symmetric_difference B C) = (symmetric_difference C B)))) ### All 25
% 283.53/284.27 27. ((symmetric_difference (empty_set) T_0) != T_0) (All B, (All C, ((symmetric_difference B C) = (symmetric_difference C B)))) (All B, ((difference (empty_set) B) = (empty_set))) (All B, ((difference B (empty_set)) = B)) (All B, ((union B (empty_set)) = B)) ### Definition-Pseudo(symmetric_difference) 26
% 283.53/284.27 28. (-. (((symmetric_difference T_0 (empty_set)) = T_0) /\ ((symmetric_difference (empty_set) T_0) = T_0))) (All B, (All C, ((symmetric_difference B C) = (symmetric_difference C B)))) (All B, ((union B (empty_set)) = B)) (All B, ((difference (empty_set) B) = (empty_set))) (All B, ((difference B (empty_set)) = B)) ### NotAnd 10 27
% 283.53/284.27 29. (-. (All B, (((symmetric_difference B (empty_set)) = B) /\ ((symmetric_difference (empty_set) B) = B)))) (All B, ((difference B (empty_set)) = B)) (All B, ((difference (empty_set) B) = (empty_set))) (All B, ((union B (empty_set)) = B)) (All B, (All C, ((symmetric_difference B C) = (symmetric_difference C B)))) ### NotAllEx 28
% 283.53/284.27 % SZS output end Proof
% 283.53/284.27 (* END-PROOF *)
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