TSTP Solution File: SET169+3 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SET169+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 : 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 05:40:03 EDT 2022
% Result : Theorem 0.19s 0.41s
% 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
% 0.03/0.12 % Problem : SET169+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n013.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 02:25:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 (* PROOF-FOUND *)
% 0.19/0.41 (* BEGIN-PROOF *)
% 0.19/0.41 % SZS output start Proof
% 0.19/0.41 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.41 2. (member T_0 T_2) (-. (member T_0 T_2)) ### Axiom
% 0.19/0.41 3. (-. (member T_0 (union T_2 T_3))) (member T_0 T_2) ### Extension/test/not_union_defn 2
% 0.19/0.41 4. (-. (member T_0 (intersection T_1 (union T_2 T_3)))) (member T_0 T_2) (member T_0 T_1) ### Extension/test/not_intersection_defn 1 3
% 0.19/0.41 5. (member T_0 (intersection T_1 T_2)) (-. (member T_0 (intersection T_1 (union T_2 T_3)))) ### Extension/test/intersection_defn 4
% 0.19/0.41 6. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.41 7. (member T_0 T_3) (-. (member T_0 T_3)) ### Axiom
% 0.19/0.41 8. (-. (member T_0 (union T_2 T_3))) (member T_0 T_3) ### Extension/test/not_union_defn 7
% 0.19/0.41 9. (-. (member T_0 (intersection T_1 (union T_2 T_3)))) (member T_0 T_3) (member T_0 T_1) ### Extension/test/not_intersection_defn 6 8
% 0.19/0.41 10. (member T_0 (intersection T_1 T_3)) (-. (member T_0 (intersection T_1 (union T_2 T_3)))) ### Extension/test/intersection_defn 9
% 0.19/0.41 11. (member T_0 (union (intersection T_1 T_2) (intersection T_1 T_3))) (-. (member T_0 (intersection T_1 (union T_2 T_3)))) ### Extension/test/union_defn 5 10
% 0.19/0.41 12. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.41 13. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.41 14. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom
% 0.19/0.41 15. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom
% 0.19/0.41 16. (member T_0 (union T_2 T_3)) (-. (member T_0 T_3)) (-. (member T_0 T_2)) ### Extension/test/union_defn 14 15
% 0.19/0.41 17. (-. (member T_0 (intersection T_1 T_2))) (-. (member T_0 T_3)) (member T_0 (union T_2 T_3)) (member T_0 T_1) ### Extension/test/not_intersection_defn 13 16
% 0.19/0.41 18. (-. (member T_0 (intersection T_1 T_3))) (member T_0 (union T_2 T_3)) (-. (member T_0 (intersection T_1 T_2))) (member T_0 T_1) ### Extension/test/not_intersection_defn 12 17
% 0.19/0.41 19. (-. (member T_0 (union (intersection T_1 T_2) (intersection T_1 T_3)))) (member T_0 T_1) (member T_0 (union T_2 T_3)) ### Extension/test/not_union_defn 18
% 0.19/0.41 20. (member T_0 (intersection T_1 (union T_2 T_3))) (-. (member T_0 (union (intersection T_1 T_2) (intersection T_1 T_3)))) ### Extension/test/intersection_defn 19
% 0.19/0.41 21. ((intersection T_1 (union T_2 T_3)) != (union (intersection T_1 T_2) (intersection T_1 T_3))) ### Extension/test/not_equal_member_defn 11 20
% 0.19/0.41 22. (-. (All D, ((intersection T_1 (union T_2 D)) = (union (intersection T_1 T_2) (intersection T_1 D))))) ### NotAllEx 21
% 0.19/0.41 23. (-. (All C, (All D, ((intersection T_1 (union C D)) = (union (intersection T_1 C) (intersection T_1 D)))))) ### NotAllEx 22
% 0.19/0.41 24. (-. (All B, (All C, (All D, ((intersection B (union C D)) = (union (intersection B C) (intersection B D))))))) ### NotAllEx 23
% 0.19/0.41 % SZS output end Proof
% 0.19/0.41 (* END-PROOF *)
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