TSTP Solution File: SET706+4 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET706+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 : n016.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 05:43:29 EDT 2022
% Result : Theorem 0.19s 0.42s
% 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
% 0.06/0.12 % Problem : SET706+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 07:11:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 (* PROOF-FOUND *)
% 0.19/0.42 (* BEGIN-PROOF *)
% 0.19/0.42 % SZS output start Proof
% 0.19/0.42 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.42 2. (member T_0 T_2) (-. (member T_0 T_2)) ### Axiom
% 0.19/0.42 3. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom
% 0.19/0.42 4. (-. (member T_0 (difference T_2 T_3))) (-. (member T_0 T_3)) (member T_0 T_2) ### Extension/test/not_difference 2 3
% 0.19/0.42 5. (-. (member T_0 (difference T_1 T_2))) (-. (member T_0 T_3)) (-. (member T_0 (difference T_2 T_3))) (member T_0 T_1) ### Extension/test/not_difference 1 4
% 0.19/0.42 6. (-. (member T_0 (union (difference T_2 T_3) (difference T_1 T_2)))) (member T_0 T_1) (-. (member T_0 T_3)) ### Extension/test/not_union 5
% 0.19/0.42 7. (member T_0 (difference T_1 T_3)) (-. (member T_0 (union (difference T_2 T_3) (difference T_1 T_2)))) ### Extension/test/difference 6
% 0.19/0.42 8. (-. (subset (difference T_1 T_3) (union (difference T_2 T_3) (difference T_1 T_2)))) ### Extension/test/not_subset 7
% 0.19/0.42 9. (member T_4 T_2) (-. (member T_4 T_2)) ### Axiom
% 0.19/0.42 10. (-. (member T_4 T_1)) (member T_4 T_1) ### Axiom
% 0.19/0.42 11. (subset T_2 T_1) (-. (member T_4 T_1)) (member T_4 T_2) ### Extension/test/subset_inst 9 10
% 0.19/0.42 12. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom
% 0.19/0.42 13. (-. (member T_4 (difference T_1 T_3))) (-. (member T_4 T_3)) (member T_4 T_2) (subset T_2 T_1) ### Extension/test/not_difference 11 12
% 0.19/0.42 14. (member T_4 (difference T_2 T_3)) (subset T_2 T_1) (-. (member T_4 (difference T_1 T_3))) ### Extension/test/difference 13
% 0.19/0.42 15. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom
% 0.19/0.42 16. (member T_4 T_3) (-. (member T_4 T_3)) ### Axiom
% 0.19/0.42 17. (-. (member T_4 T_2)) (member T_4 T_2) ### Axiom
% 0.19/0.42 18. (subset T_3 T_2) (-. (member T_4 T_2)) (member T_4 T_3) ### Extension/test/subset_inst 16 17
% 0.19/0.42 19. (-. (member T_4 (difference T_1 T_3))) (-. (member T_4 T_2)) (subset T_3 T_2) (member T_4 T_1) ### Extension/test/not_difference 15 18
% 0.19/0.42 20. (member T_4 (difference T_1 T_2)) (subset T_3 T_2) (-. (member T_4 (difference T_1 T_3))) ### Extension/test/difference 19
% 0.19/0.42 21. (member T_4 (union (difference T_2 T_3) (difference T_1 T_2))) (subset T_3 T_2) (-. (member T_4 (difference T_1 T_3))) (subset T_2 T_1) ### Extension/test/union 14 20
% 0.19/0.42 22. (-. (subset (union (difference T_2 T_3) (difference T_1 T_2)) (difference T_1 T_3))) (subset T_2 T_1) (subset T_3 T_2) ### Extension/test/not_subset 21
% 0.19/0.42 23. (-. (equal_set (difference T_1 T_3) (union (difference T_2 T_3) (difference T_1 T_2)))) (subset T_3 T_2) (subset T_2 T_1) ### Extension/test/not_equal_set 8 22
% 0.19/0.42 24. (-. (((subset T_3 T_2) /\ (subset T_2 T_1)) => (equal_set (difference T_1 T_3) (union (difference T_2 T_3) (difference T_1 T_2))))) ### ConjTree 23
% 0.19/0.42 25. (-. (All C, (((subset C T_2) /\ (subset T_2 T_1)) => (equal_set (difference T_1 C) (union (difference T_2 C) (difference T_1 T_2)))))) ### NotAllEx 24
% 0.19/0.42 26. (-. (All B, (All C, (((subset C B) /\ (subset B T_1)) => (equal_set (difference T_1 C) (union (difference B C) (difference T_1 B))))))) ### NotAllEx 25
% 0.19/0.42 27. (-. (All A, (All B, (All C, (((subset C B) /\ (subset B A)) => (equal_set (difference A C) (union (difference B C) (difference A B)))))))) ### NotAllEx 26
% 0.19/0.42 % SZS output end Proof
% 0.19/0.42 (* END-PROOF *)
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