%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU429+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n029.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 14:51:15 EDT 2022 % Result : Theorem 3.04s 3.25s % Output : Proof 3.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU429+1 : TPTP v8.1.0. Released v3.4.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n029.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 10:40:15 EDT 2022 % 0.12/0.33 % CPUTime : % 3.04/3.25 % SZS status Theorem % 3.04/3.25 (* PROOF-FOUND *) % 3.04/3.25 (* BEGIN-PROOF *) % 3.04/3.25 % SZS output start Proof % 3.04/3.25 1. (-. (v1_xboole_0 T_0)) (v1_xboole_0 T_0) ### Axiom % 3.04/3.25 2. (m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) (-. (m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0)))) ### Axiom % 3.04/3.25 3. (m1_relset_1 T_2 T_0 T_3) (-. (m1_relset_1 T_2 T_0 T_3)) ### Axiom % 3.04/3.25 4. (-. (m2_relset_1 T_2 T_0 T_3)) (m1_relset_1 T_2 T_0 T_3) ### Definition-Pseudo(m2_relset_1) 3 % 3.04/3.25 5. (-. (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 T_2) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))) (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 T_2) (k1_zfmisc_1 (k1_zfmisc_1 T_3))) ### Axiom % 3.04/3.25 6. (((-. (v1_xboole_0 T_0)) /\ ((m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) /\ (m2_relset_1 T_2 T_0 T_3))) => (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 T_2) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))) (-. (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 T_2) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))) (m1_relset_1 T_2 T_0 T_3) (m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) (-. (v1_xboole_0 T_0)) ### DisjTree 1 2 4 5 % 3.04/3.25 7. (All D, (((-. (v1_xboole_0 T_0)) /\ ((m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) /\ (m2_relset_1 D T_0 T_3))) => (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 D) (k1_zfmisc_1 (k1_zfmisc_1 T_3))))) (-. (v1_xboole_0 T_0)) (m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) (m1_relset_1 T_2 T_0 T_3) (-. (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 T_2) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))) ### All 6 % 3.04/3.25 8. (All C, (All D, (((-. (v1_xboole_0 T_0)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 T_0))) /\ (m2_relset_1 D T_0 T_3))) => (m1_subset_1 (a_4_1_relset_2 T_0 T_3 C D) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))))) (-. (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 T_2) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))) (m1_relset_1 T_2 T_0 T_3) (m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) (-. (v1_xboole_0 T_0)) ### All 7 % 3.04/3.25 9. (All B, (All C, (All D, (((-. (v1_xboole_0 T_0)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 T_0))) /\ (m2_relset_1 D T_0 B))) => (m1_subset_1 (a_4_1_relset_2 T_0 B C D) (k1_zfmisc_1 (k1_zfmisc_1 B))))))) (-. (v1_xboole_0 T_0)) (m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) (m1_relset_1 T_2 T_0 T_3) (-. (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 T_2) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))) ### All 8 % 3.04/3.25 10. (All A, (All B, (All C, (All D, (((-. (v1_xboole_0 A)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A))) /\ (m2_relset_1 D A B))) => (m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) (-. (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 T_2) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))) (m1_relset_1 T_2 T_0 T_3) (m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) (-. (v1_xboole_0 T_0)) ### All 9 % 3.04/3.25 11. (m2_relset_1 T_2 T_0 T_3) (-. (v1_xboole_0 T_0)) (m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) (-. (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 T_2) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))) (All A, (All B, (All C, (All D, (((-. (v1_xboole_0 A)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A))) /\ (m2_relset_1 D A B))) => (m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) ### Definition-Pseudo(m2_relset_1) 10 % 3.04/3.25 12. (-. ((m2_relset_1 T_2 T_0 T_3) => (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 T_2) (k1_zfmisc_1 (k1_zfmisc_1 T_3))))) (All A, (All B, (All C, (All D, (((-. (v1_xboole_0 A)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A))) /\ (m2_relset_1 D A B))) => (m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) (m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) (-. (v1_xboole_0 T_0)) ### NotImply 11 % 3.04/3.25 13. (-. (All D, ((m2_relset_1 D T_0 T_3) => (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 D) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))))) (-. (v1_xboole_0 T_0)) (m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) (All A, (All B, (All C, (All D, (((-. (v1_xboole_0 A)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A))) /\ (m2_relset_1 D A B))) => (m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) ### NotAllEx 12 % 3.04/3.25 14. (-. ((m1_subset_1 T_1 (k1_zfmisc_1 (k1_zfmisc_1 T_0))) => (All D, ((m2_relset_1 D T_0 T_3) => (m1_subset_1 (a_4_1_relset_2 T_0 T_3 T_1 D) (k1_zfmisc_1 (k1_zfmisc_1 T_3))))))) (All A, (All B, (All C, (All D, (((-. (v1_xboole_0 A)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A))) /\ (m2_relset_1 D A B))) => (m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) (-. (v1_xboole_0 T_0)) ### NotImply 13 % 3.04/3.25 15. (-. (All C, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 T_0))) => (All D, ((m2_relset_1 D T_0 T_3) => (m1_subset_1 (a_4_1_relset_2 T_0 T_3 C D) (k1_zfmisc_1 (k1_zfmisc_1 T_3)))))))) (-. (v1_xboole_0 T_0)) (All A, (All B, (All C, (All D, (((-. (v1_xboole_0 A)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A))) /\ (m2_relset_1 D A B))) => (m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) ### NotAllEx 14 % 3.04/3.25 16. (-. (All B, (All C, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 T_0))) => (All D, ((m2_relset_1 D T_0 B) => (m1_subset_1 (a_4_1_relset_2 T_0 B C D) (k1_zfmisc_1 (k1_zfmisc_1 B))))))))) (All A, (All B, (All C, (All D, (((-. (v1_xboole_0 A)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A))) /\ (m2_relset_1 D A B))) => (m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) (-. (v1_xboole_0 T_0)) ### NotAllEx 15 % 3.04/3.25 17. (-. ((-. (v1_xboole_0 T_0)) => (All B, (All C, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 T_0))) => (All D, ((m2_relset_1 D T_0 B) => (m1_subset_1 (a_4_1_relset_2 T_0 B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))))) (All A, (All B, (All C, (All D, (((-. (v1_xboole_0 A)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A))) /\ (m2_relset_1 D A B))) => (m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) ### NotImply 16 % 3.04/3.25 18. (-. (All A, ((-. (v1_xboole_0 A)) => (All B, (All C, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A))) => (All D, ((m2_relset_1 D A B) => (m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B))))))))))) (All A, (All B, (All C, (All D, (((-. (v1_xboole_0 A)) /\ ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 A))) /\ (m2_relset_1 D A B))) => (m1_subset_1 (a_4_1_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) ### NotAllEx 17 % 3.04/3.25 % SZS output end Proof % 3.04/3.25 (* END-PROOF *) %------------------------------------------------------------------------------