%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET577+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 : 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 05:42:21 EDT 2022 % Result : Theorem 160.95s 161.15s % Output : Proof 160.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SET577+3 : TPTP v8.1.0. Released v2.2.0. % 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.34 % Computer : n029.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sun Jul 10 02:07:31 EDT 2022 % 0.14/0.35 % CPUTime : % 160.95/161.15 % SZS status Theorem % 160.95/161.15 (* PROOF-FOUND *) % 160.95/161.15 (* BEGIN-PROOF *) % 160.95/161.15 % SZS output start Proof % 160.95/161.15 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 160.95/161.15 2. (-. ((member T_0 T_2) \/ (member T_0 T_3))) ((member T_0 T_2) \/ (member T_0 T_3)) ### Axiom % 160.95/161.15 3. ((member T_0 T_1) <=> ((member T_0 T_2) \/ (member T_0 T_3))) (-. ((member T_0 T_2) \/ (member T_0 T_3))) (member T_0 T_1) ### Equiv 1 2 % 160.95/161.15 4. (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (member T_0 T_1) (-. ((member T_0 T_2) \/ (member T_0 T_3))) ### All 3 % 160.95/161.15 5. (-. (member T_0 (union T_2 T_3))) (member T_0 (union T_2 T_3)) ### Axiom % 160.95/161.15 6. ((member T_0 (union T_2 T_3)) <=> ((member T_0 T_2) \/ (member T_0 T_3))) (-. (member T_0 (union T_2 T_3))) (member T_0 T_1) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) ### Equiv 4 5 % 160.95/161.15 7. (All D, ((member D (union T_2 T_3)) <=> ((member D T_2) \/ (member D T_3)))) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (member T_0 T_1) (-. (member T_0 (union T_2 T_3))) ### All 6 % 160.95/161.15 8. (-. ((member T_0 T_1) => (member T_0 (union T_2 T_3)))) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (All D, ((member D (union T_2 T_3)) <=> ((member D T_2) \/ (member D T_3)))) ### NotImply 7 % 160.95/161.15 9. (-. (All D, ((member D T_1) => (member D (union T_2 T_3))))) (All D, ((member D (union T_2 T_3)) <=> ((member D T_2) \/ (member D T_3)))) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) ### NotAllEx 8 % 160.95/161.15 10. (-. (subset T_1 (union T_2 T_3))) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (All D, ((member D (union T_2 T_3)) <=> ((member D T_2) \/ (member D T_3)))) ### Definition-Pseudo(subset) 9 % 160.95/161.15 11. (T_4 != T_4) ### Refl(=) % 160.95/161.15 12. ((union T_3 T_2) = (union T_2 T_3)) ((union T_2 T_3) != (union T_3 T_2)) ### Sym(=) % 160.95/161.15 13. (-. (member T_4 (union T_3 T_2))) (member T_4 (union T_2 T_3)) ((union T_3 T_2) = (union T_2 T_3)) ### P-NotP 11 12 % 160.95/161.15 14. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom % 160.95/161.15 15. (-. (member T_4 T_2)) (member T_4 T_2) ### Axiom % 160.95/161.15 16. ((member T_4 T_3) \/ (member T_4 T_2)) (-. (member T_4 T_2)) (-. (member T_4 T_3)) ### Or 14 15 % 160.95/161.15 17. ((member T_4 (union T_3 T_2)) <=> ((member T_4 T_3) \/ (member T_4 T_2))) (-. (member T_4 T_3)) (-. (member T_4 T_2)) ((union T_3 T_2) = (union T_2 T_3)) (member T_4 (union T_2 T_3)) ### Equiv 13 16 % 160.95/161.15 18. (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) (member T_4 (union T_2 T_3)) ((union T_3 T_2) = (union T_2 T_3)) (-. (member T_4 T_2)) (-. (member T_4 T_3)) ### All 17 % 160.95/161.15 19. (-. ((member T_4 T_2) \/ (member T_4 T_3))) ((union T_3 T_2) = (union T_2 T_3)) (member T_4 (union T_2 T_3)) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) ### NotOr 18 % 160.95/161.15 20. (-. (member T_4 T_1)) (member T_4 T_1) ### Axiom % 160.95/161.15 21. ((member T_4 T_1) <=> ((member T_4 T_2) \/ (member T_4 T_3))) (-. (member T_4 T_1)) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) (member T_4 (union T_2 T_3)) ((union T_3 T_2) = (union T_2 T_3)) ### Equiv 19 20 % 160.95/161.15 22. (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) ((union T_3 T_2) = (union T_2 T_3)) (member T_4 (union T_2 T_3)) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) (-. (member T_4 T_1)) ### All 21 % 160.95/161.15 23. (-. ((member T_4 (union T_2 T_3)) => (member T_4 T_1))) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) ((union T_3 T_2) = (union T_2 T_3)) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) ### NotImply 22 % 160.95/161.15 24. (-. (All D, ((member D (union T_2 T_3)) => (member D T_1)))) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) ((union T_3 T_2) = (union T_2 T_3)) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) ### NotAllEx 23 % 160.95/161.15 25. (-. (subset (union T_2 T_3) T_1)) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) ((union T_3 T_2) = (union T_2 T_3)) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) ### Definition-Pseudo(subset) 24 % 160.95/161.15 26. (-. ((subset T_1 (union T_2 T_3)) /\ (subset (union T_2 T_3) T_1))) ((union T_3 T_2) = (union T_2 T_3)) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) (All D, ((member D (union T_2 T_3)) <=> ((member D T_2) \/ (member D T_3)))) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) ### NotAnd 10 25 % 160.95/161.15 27. (T_1 != (union T_2 T_3)) (T_1 = (union T_2 T_3)) ### Axiom % 160.95/161.15 28. ((T_1 = (union T_2 T_3)) <=> ((subset T_1 (union T_2 T_3)) /\ (subset (union T_2 T_3) T_1))) (T_1 != (union T_2 T_3)) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (All D, ((member D (union T_2 T_3)) <=> ((member D T_2) \/ (member D T_3)))) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) ((union T_3 T_2) = (union T_2 T_3)) ### Equiv 26 27 % 160.95/161.15 29. (All C, ((T_1 = C) <=> ((subset T_1 C) /\ (subset C T_1)))) ((union T_3 T_2) = (union T_2 T_3)) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) (All D, ((member D (union T_2 T_3)) <=> ((member D T_2) \/ (member D T_3)))) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (T_1 != (union T_2 T_3)) ### All 28 % 160.95/161.15 30. (All C, (All D, ((member D (union T_2 C)) <=> ((member D T_2) \/ (member D C))))) (T_1 != (union T_2 T_3)) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) ((union T_3 T_2) = (union T_2 T_3)) (All C, ((T_1 = C) <=> ((subset T_1 C) /\ (subset C T_1)))) ### All 29 % 160.95/161.15 31. (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All C, ((T_1 = C) <=> ((subset T_1 C) /\ (subset C T_1)))) ((union T_3 T_2) = (union T_2 T_3)) (All D, ((member D (union T_3 T_2)) <=> ((member D T_3) \/ (member D T_2)))) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (T_1 != (union T_2 T_3)) ### All 30 % 160.95/161.15 32. (All C, (All D, ((member D (union T_3 C)) <=> ((member D T_3) \/ (member D C))))) (T_1 != (union T_2 T_3)) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) ((union T_3 T_2) = (union T_2 T_3)) (All C, ((T_1 = C) <=> ((subset T_1 C) /\ (subset C T_1)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ### All 31 % 160.95/161.15 33. (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All C, ((T_1 = C) <=> ((subset T_1 C) /\ (subset C T_1)))) ((union T_3 T_2) = (union T_2 T_3)) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (T_1 != (union T_2 T_3)) ### All 32 % 160.95/161.15 34. (All C, ((union T_3 C) = (union C T_3))) (T_1 != (union T_2 T_3)) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (All C, ((T_1 = C) <=> ((subset T_1 C) /\ (subset C T_1)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) ### All 33 % 160.95/161.15 35. (All B, (All C, ((union B C) = (union C B)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All C, ((T_1 = C) <=> ((subset T_1 C) /\ (subset C T_1)))) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (T_1 != (union T_2 T_3)) ### All 34 % 160.95/161.15 36. (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) (T_1 != (union T_2 T_3)) (All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All B, (All C, ((union B C) = (union C B)))) ### All 35 % 160.95/161.15 37. (-. ((All E, ((member E T_1) <=> ((member E T_2) \/ (member E T_3)))) => (T_1 = (union T_2 T_3)))) (All B, (All C, ((union B C) = (union C B)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) ### NotImply 36 % 160.95/161.15 38. (-. (All D, ((All E, ((member E T_1) <=> ((member E T_2) \/ (member E D)))) => (T_1 = (union T_2 D))))) (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All B, (All C, ((union B C) = (union C B)))) ### NotAllEx 37 % 160.95/161.15 39. (-. (All C, (All D, ((All E, ((member E T_1) <=> ((member E C) \/ (member E D)))) => (T_1 = (union C D)))))) (All B, (All C, ((union B C) = (union C B)))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) ### NotAllEx 38 % 160.95/161.16 40. (-. (All B, (All C, (All D, ((All E, ((member E B) <=> ((member E C) \/ (member E D)))) => (B = (union C D))))))) (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) (All B, (All C, (All D, ((member D (union B C)) <=> ((member D B) \/ (member D C)))))) (All B, (All C, ((union B C) = (union C B)))) ### NotAllEx 39 % 160.95/161.16 % SZS output end Proof % 160.95/161.16 (* END-PROOF *) %------------------------------------------------------------------------------