TSTP Solution File: SET014+4 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SET014+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 05:38:00 EDT 2022
% Result : Theorem 0.21s 0.44s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET014+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 10:31:27 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.44 % SZS status Theorem
% 0.21/0.44 (* PROOF-FOUND *)
% 0.21/0.44 (* BEGIN-PROOF *)
% 0.21/0.44 % SZS output start Proof
% 0.21/0.44 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.21/0.44 2. (-. (member T_0 (union T_1 T_2))) (member T_0 T_1) ### Extension/test/not_union 1
% 0.21/0.44 3. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom
% 0.21/0.44 4. (subset (union T_1 T_2) T_3) (-. (member T_0 T_3)) (member T_0 T_1) ### Extension/test/subset_inst 2 3
% 0.21/0.44 5. (-. (subset T_1 T_3)) (subset (union T_1 T_2) T_3) ### Extension/test/not_subset 4
% 0.21/0.44 6. (member T_4 T_2) (-. (member T_4 T_2)) ### Axiom
% 0.21/0.44 7. (-. (member T_4 (union T_1 T_2))) (member T_4 T_2) ### Extension/test/not_union 6
% 0.21/0.44 8. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom
% 0.21/0.44 9. (subset (union T_1 T_2) T_3) (-. (member T_4 T_3)) (member T_4 T_2) ### Extension/test/subset_inst 7 8
% 0.21/0.44 10. (-. (subset T_2 T_3)) (subset (union T_1 T_2) T_3) ### Extension/test/not_subset 9
% 0.21/0.44 11. (-. ((subset T_1 T_3) /\ (subset T_2 T_3))) (subset (union T_1 T_2) T_3) ### NotAnd 5 10
% 0.21/0.44 12. (member T_5 T_1) (-. (member T_5 T_1)) ### Axiom
% 0.21/0.44 13. (-. (member T_5 T_3)) (member T_5 T_3) ### Axiom
% 0.21/0.44 14. (subset T_1 T_3) (-. (member T_5 T_3)) (member T_5 T_1) ### Extension/test/subset_inst 12 13
% 0.21/0.44 15. (member T_5 T_2) (-. (member T_5 T_2)) ### Axiom
% 0.21/0.44 16. (-. (member T_5 T_3)) (member T_5 T_3) ### Axiom
% 0.21/0.44 17. (subset T_2 T_3) (-. (member T_5 T_3)) (member T_5 T_2) ### Extension/test/subset_inst 15 16
% 0.21/0.44 18. (member T_5 (union T_1 T_2)) (subset T_2 T_3) (-. (member T_5 T_3)) (subset T_1 T_3) ### Extension/test/union 14 17
% 0.21/0.44 19. (-. (subset (union T_1 T_2) T_3)) (subset T_1 T_3) (subset T_2 T_3) ### Extension/test/not_subset 18
% 0.21/0.44 20. ((subset T_1 T_3) /\ (subset T_2 T_3)) (-. (subset (union T_1 T_2) T_3)) ### And 19
% 0.21/0.44 21. (-. (((subset T_1 T_3) /\ (subset T_2 T_3)) <=> (subset (union T_1 T_2) T_3))) ### NotEquiv 11 20
% 0.21/0.44 22. (-. (All Y, (((subset T_1 T_3) /\ (subset Y T_3)) <=> (subset (union T_1 Y) T_3)))) ### NotAllEx 21
% 0.21/0.44 23. (-. (All X, (All Y, (((subset X T_3) /\ (subset Y T_3)) <=> (subset (union X Y) T_3))))) ### NotAllEx 22
% 0.21/0.44 24. (-. (All A, (All X, (All Y, (((subset X A) /\ (subset Y A)) <=> (subset (union X Y) A)))))) ### NotAllEx 23
% 0.21/0.44 % SZS output end Proof
% 0.21/0.44 (* END-PROOF *)
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