TSTP Solution File: SET631+3 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET631+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 : n028.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 05:42:59 EDT 2022
% Result : Theorem 2.34s 2.59s
% Output : Proof 2.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.11 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 10 00:02:56 EDT 2022
% 0.12/0.32 % CPUTime :
% 2.34/2.59 % SZS status Theorem
% 2.34/2.59 (* PROOF-FOUND *)
% 2.34/2.59 (* BEGIN-PROOF *)
% 2.34/2.59 % SZS output start Proof
% 2.34/2.59 1. (member T_0 (difference T_1 T_2)) (-. (member T_0 (difference T_1 T_2))) ### Axiom
% 2.34/2.59 2. (-. (member T_0 T_1)) (member T_0 T_1) ### Axiom
% 2.34/2.59 3. ((member T_0 T_1) /\ (-. (member T_0 T_2))) (-. (member T_0 T_1)) ### And 2
% 2.34/2.59 4. ((member T_0 (difference T_1 T_2)) <=> ((member T_0 T_1) /\ (-. (member T_0 T_2)))) (-. (member T_0 T_1)) (member T_0 (difference T_1 T_2)) ### Equiv 1 3
% 2.34/2.59 5. (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) (member T_0 (difference T_1 T_2)) (-. (member T_0 T_1)) ### All 4
% 2.34/2.59 6. (member T_0 T_3) (-. (member T_0 T_3)) ### Axiom
% 2.34/2.59 7. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 2.34/2.59 8. (-. ((member T_0 T_3) /\ (member T_0 T_1))) (member T_0 T_1) (member T_0 T_3) ### NotAnd 6 7
% 2.34/2.59 9. (-. (Ex D, ((member D T_3) /\ (member D T_1)))) (member T_0 T_3) (member T_0 T_1) ### NotExists 8
% 2.34/2.59 10. (-. (-. (member T_0 T_1))) (member T_0 T_3) (-. (Ex D, ((member D T_3) /\ (member D T_1)))) ### NotNot 9
% 2.34/2.59 11. (-. ((member T_0 T_1) /\ (-. (member T_0 T_1)))) (-. (Ex D, ((member D T_3) /\ (member D T_1)))) (member T_0 T_3) (member T_0 (difference T_1 T_2)) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) ### NotAnd 5 10
% 2.34/2.59 12. (-. (member T_0 T_1)) (member T_0 T_1) ### Axiom
% 2.34/2.59 13. ((member T_0 T_1) /\ (-. (member T_0 T_1))) ### And 12
% 2.34/2.59 14. ((member T_0 (difference T_1 T_1)) <=> ((member T_0 T_1) /\ (-. (member T_0 T_1)))) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) (member T_0 (difference T_1 T_2)) (member T_0 T_3) (-. (Ex D, ((member D T_3) /\ (member D T_1)))) ### Equiv 11 13
% 2.34/2.59 15. (All D, ((member D (difference T_1 T_1)) <=> ((member D T_1) /\ (-. (member D T_1))))) (-. (Ex D, ((member D T_3) /\ (member D T_1)))) (member T_0 T_3) (member T_0 (difference T_1 T_2)) (All D, ((member D (difference T_1 T_2)) <=> ((member D T_1) /\ (-. (member D T_2))))) ### All 14
% 2.34/2.59 16. (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) (member T_0 (difference T_1 T_2)) (member T_0 T_3) (-. (Ex D, ((member D T_3) /\ (member D T_1)))) (All D, ((member D (difference T_1 T_1)) <=> ((member D T_1) /\ (-. (member D T_1))))) ### All 15
% 2.34/2.59 17. (-. (Ex D, ((member D T_3) /\ (member D T_1)))) (member T_0 T_3) (member T_0 (difference T_1 T_2)) (All C, (All D, ((member D (difference T_1 C)) <=> ((member D T_1) /\ (-. (member D C)))))) ### All 16
% 2.34/2.59 18. (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) (member T_0 (difference T_1 T_2)) (member T_0 T_3) (-. (Ex D, ((member D T_3) /\ (member D T_1)))) ### All 17
% 2.34/2.59 19. (-. (intersect T_3 T_1)) (member T_0 T_3) (member T_0 (difference T_1 T_2)) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### Definition-Pseudo(intersect) 18
% 2.34/2.59 20. ((member T_0 T_3) /\ (member T_0 (difference T_1 T_2))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) (-. (intersect T_3 T_1)) ### And 19
% 2.34/2.59 21. (Ex D, ((member D T_3) /\ (member D (difference T_1 T_2)))) (-. (intersect T_3 T_1)) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### Exists 20
% 2.34/2.59 22. (intersect T_3 (difference T_1 T_2)) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) (-. (intersect T_3 T_1)) ### Definition-Pseudo(intersect) 21
% 2.34/2.59 23. (-. ((intersect T_3 (difference T_1 T_2)) => (intersect T_3 T_1))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### NotImply 22
% 2.34/2.59 24. (-. (All D, ((intersect T_3 (difference T_1 D)) => (intersect T_3 T_1)))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### NotAllEx 23
% 2.34/2.59 25. (-. (All C, (All D, ((intersect T_3 (difference C D)) => (intersect T_3 C))))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### NotAllEx 24
% 2.34/2.59 26. (-. (All B, (All C, (All D, ((intersect B (difference C D)) => (intersect B C)))))) (All B, (All C, (All D, ((member D (difference B C)) <=> ((member D B) /\ (-. (member D C))))))) ### NotAllEx 25
% 2.34/2.59 % SZS output end Proof
% 2.34/2.59 (* END-PROOF *)
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