TSTP Solution File: SET696+4 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SET696+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 : n024.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 05:43:26 EDT 2022
% Result : Theorem 0.19s 0.40s
% 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 : SET696+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 21:10:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 (* PROOF-FOUND *)
% 0.19/0.40 (* BEGIN-PROOF *)
% 0.19/0.40 % SZS output start Proof
% 0.19/0.40 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.40 2. (member T_0 (difference T_2 T_1)) (member T_0 T_1) ### Extension/test/difference 1
% 0.19/0.40 3. (member T_0 (intersection (difference T_2 T_1) T_1)) ### Extension/test/intersection 2
% 0.19/0.40 4. (-. (subset (intersection (difference T_2 T_1) T_1) (empty_set))) ### Extension/test/not_subset 3
% 0.19/0.40 5. (member T_3 (empty_set)) (-. (member T_3 (empty_set))) ### Axiom
% 0.19/0.40 6. (All X, (-. (member X (empty_set)))) (member T_3 (empty_set)) ### All 5
% 0.19/0.40 7. (-. (subset (empty_set) (intersection (difference T_2 T_1) T_1))) (All X, (-. (member X (empty_set)))) ### Extension/test/not_subset 6
% 0.19/0.40 8. (-. (equal_set (intersection (difference T_2 T_1) T_1) (empty_set))) (All X, (-. (member X (empty_set)))) ### Extension/test/not_equal_set 4 7
% 0.19/0.40 9. (-. ((subset T_1 T_2) => (equal_set (intersection (difference T_2 T_1) T_1) (empty_set)))) (All X, (-. (member X (empty_set)))) ### NotImply 8
% 0.19/0.40 10. (-. (All E, ((subset T_1 E) => (equal_set (intersection (difference E T_1) T_1) (empty_set))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 9
% 0.19/0.40 11. (-. (All A, (All E, ((subset A E) => (equal_set (intersection (difference E A) A) (empty_set)))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 10
% 0.19/0.40 % SZS output end Proof
% 0.19/0.40 (* END-PROOF *)
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