%------------------------------------------------------------------------------ % 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 : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----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 *) %------------------------------------------------------------------------------