TSTP Solution File: SEU250+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n025.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 14:49:39 EDT 2022
% Result : Theorem 5.35s 5.58s
% Output : Proof 5.35s
% 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 : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n025.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 : Mon Jun 20 11:55:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.35/5.58 % SZS status Theorem
% 5.35/5.58 (* PROOF-FOUND *)
% 5.35/5.58 (* BEGIN-PROOF *)
% 5.35/5.58 % SZS output start Proof
% 5.35/5.58 1. (relation T_0) (-. (relation T_0)) ### Axiom
% 5.35/5.58 2. (in T_1 (relation_field (relation_restriction T_0 T_2))) (-. (in T_1 (relation_field (relation_restriction T_0 T_2)))) ### Axiom
% 5.35/5.58 3. (-. (in T_1 (relation_field T_0))) (in T_1 (relation_field T_0)) ### Axiom
% 5.35/5.58 4. ((in T_1 (relation_field T_0)) /\ (in T_1 T_2)) (-. (in T_1 (relation_field T_0))) ### And 3
% 5.35/5.58 5. ((relation T_0) => ((in T_1 (relation_field (relation_restriction T_0 T_2))) => ((in T_1 (relation_field T_0)) /\ (in T_1 T_2)))) (-. (in T_1 (relation_field T_0))) (in T_1 (relation_field (relation_restriction T_0 T_2))) (relation T_0) ### DisjTree 1 2 4
% 5.35/5.58 6. (All C, ((relation C) => ((in T_1 (relation_field (relation_restriction C T_2))) => ((in T_1 (relation_field C)) /\ (in T_1 T_2))))) (relation T_0) (in T_1 (relation_field (relation_restriction T_0 T_2))) (-. (in T_1 (relation_field T_0))) ### All 5
% 5.35/5.58 7. (All B, (All C, ((relation C) => ((in T_1 (relation_field (relation_restriction C B))) => ((in T_1 (relation_field C)) /\ (in T_1 B)))))) (-. (in T_1 (relation_field T_0))) (in T_1 (relation_field (relation_restriction T_0 T_2))) (relation T_0) ### All 6
% 5.35/5.58 8. (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) (relation T_0) (in T_1 (relation_field (relation_restriction T_0 T_2))) (-. (in T_1 (relation_field T_0))) ### All 7
% 5.35/5.58 9. (-. ((in T_1 (relation_field (relation_restriction T_0 T_2))) => (in T_1 (relation_field T_0)))) (relation T_0) (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) ### NotImply 8
% 5.35/5.58 10. (-. (All C, ((in C (relation_field (relation_restriction T_0 T_2))) => (in C (relation_field T_0))))) (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) (relation T_0) ### NotAllEx 9
% 5.35/5.58 11. (-. (subset (relation_field (relation_restriction T_0 T_2)) (relation_field T_0))) (relation T_0) (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) ### Definition-Pseudo(subset) 10
% 5.35/5.58 12. (relation T_0) (-. (relation T_0)) ### Axiom
% 5.35/5.58 13. (in T_3 (relation_field (relation_restriction T_0 T_2))) (-. (in T_3 (relation_field (relation_restriction T_0 T_2)))) ### Axiom
% 5.35/5.58 14. (-. (in T_3 T_2)) (in T_3 T_2) ### Axiom
% 5.35/5.58 15. ((in T_3 (relation_field T_0)) /\ (in T_3 T_2)) (-. (in T_3 T_2)) ### And 14
% 5.35/5.58 16. ((relation T_0) => ((in T_3 (relation_field (relation_restriction T_0 T_2))) => ((in T_3 (relation_field T_0)) /\ (in T_3 T_2)))) (-. (in T_3 T_2)) (in T_3 (relation_field (relation_restriction T_0 T_2))) (relation T_0) ### DisjTree 12 13 15
% 5.35/5.58 17. (All C, ((relation C) => ((in T_3 (relation_field (relation_restriction C T_2))) => ((in T_3 (relation_field C)) /\ (in T_3 T_2))))) (relation T_0) (in T_3 (relation_field (relation_restriction T_0 T_2))) (-. (in T_3 T_2)) ### All 16
% 5.35/5.58 18. (All B, (All C, ((relation C) => ((in T_3 (relation_field (relation_restriction C B))) => ((in T_3 (relation_field C)) /\ (in T_3 B)))))) (-. (in T_3 T_2)) (in T_3 (relation_field (relation_restriction T_0 T_2))) (relation T_0) ### All 17
% 5.35/5.58 19. (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) (relation T_0) (in T_3 (relation_field (relation_restriction T_0 T_2))) (-. (in T_3 T_2)) ### All 18
% 5.35/5.58 20. (-. ((in T_3 (relation_field (relation_restriction T_0 T_2))) => (in T_3 T_2))) (relation T_0) (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) ### NotImply 19
% 5.35/5.58 21. (-. (All C, ((in C (relation_field (relation_restriction T_0 T_2))) => (in C T_2)))) (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) (relation T_0) ### NotAllEx 20
% 5.35/5.58 22. (-. (subset (relation_field (relation_restriction T_0 T_2)) T_2)) (relation T_0) (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) ### Definition-Pseudo(subset) 21
% 5.35/5.58 23. (-. ((subset (relation_field (relation_restriction T_0 T_2)) (relation_field T_0)) /\ (subset (relation_field (relation_restriction T_0 T_2)) T_2))) (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) (relation T_0) ### NotAnd 11 22
% 5.35/5.58 24. (-. ((relation T_0) => ((subset (relation_field (relation_restriction T_0 T_2)) (relation_field T_0)) /\ (subset (relation_field (relation_restriction T_0 T_2)) T_2)))) (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) ### NotImply 23
% 5.35/5.58 25. (-. (All B, ((relation B) => ((subset (relation_field (relation_restriction B T_2)) (relation_field B)) /\ (subset (relation_field (relation_restriction B T_2)) T_2))))) (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) ### NotAllEx 24
% 5.35/5.58 26. (-. (All A, (All B, ((relation B) => ((subset (relation_field (relation_restriction B A)) (relation_field B)) /\ (subset (relation_field (relation_restriction B A)) A)))))) (All A, (All B, (All C, ((relation C) => ((in A (relation_field (relation_restriction C B))) => ((in A (relation_field C)) /\ (in A B))))))) ### NotAllEx 25
% 5.35/5.58 % SZS output end Proof
% 5.35/5.58 (* END-PROOF *)
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