%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN549+1 : 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 : n015.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 : Thu Jul 21 12:45:06 EDT 2022 % Result : Theorem 0.20s 0.41s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SYN549+1 : TPTP v8.1.0. Released v2.2.0. % 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n015.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 Jul 11 19:37:54 EDT 2022 % 0.12/0.34 % CPUTime : % 0.20/0.41 % SZS status Theorem % 0.20/0.41 (* PROOF-FOUND *) % 0.20/0.41 (* BEGIN-PROOF *) % 0.20/0.41 % SZS output start Proof % 0.20/0.41 1. (-. (reachable (initial_world) (initial_world))) ### Refl(reachable) % 0.20/0.41 2. (reachable T_0 T_1) (-. (reachable T_0 T_1)) ### Axiom % 0.20/0.41 3. (p T_1) (-. (p T_1)) ### Axiom % 0.20/0.41 4. (-. ((p T_1) \/ (Ex V, ((reachable T_1 V) /\ (q V))))) (p T_1) ### NotOr 3 % 0.20/0.41 5. (-. ((reachable T_0 T_1) /\ ((p T_1) \/ (Ex V, ((reachable T_1 V) /\ (q V)))))) (p T_1) (reachable T_0 T_1) ### NotAnd 2 4 % 0.20/0.41 6. (-. (Ex Z, ((reachable T_0 Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V))))))) (reachable T_0 T_1) (p T_1) ### NotExists 5 % 0.20/0.41 7. ((reachable T_0 T_1) /\ (p T_1)) (-. (Ex Z, ((reachable T_0 Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V))))))) ### And 6 % 0.20/0.41 8. (Ex W, ((reachable T_0 W) /\ (p W))) (-. (Ex Z, ((reachable T_0 Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V))))))) ### Exists 7 % 0.20/0.41 9. (-. (reachable T_0 T_0)) ### Refl(reachable) % 0.20/0.41 10. (Ex W, ((reachable T_0 W) /\ (q W))) (-. (Ex W, ((reachable T_0 W) /\ (q W)))) ### Axiom % 0.20/0.41 11. (-. ((p T_0) \/ (Ex W, ((reachable T_0 W) /\ (q W))))) (Ex W, ((reachable T_0 W) /\ (q W))) ### NotOr 10 % 0.20/0.41 12. (-. ((reachable T_0 T_0) /\ ((p T_0) \/ (Ex W, ((reachable T_0 W) /\ (q W)))))) (Ex W, ((reachable T_0 W) /\ (q W))) ### NotAnd 9 11 % 0.20/0.41 13. (-. (Ex Z, ((reachable T_0 Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V))))))) (Ex W, ((reachable T_0 W) /\ (q W))) ### NotExists 12 % 0.20/0.41 14. ((Ex W, ((reachable T_0 W) /\ (p W))) \/ (Ex W, ((reachable T_0 W) /\ (q W)))) (-. (Ex Z, ((reachable T_0 Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V))))))) ### Or 8 13 % 0.20/0.41 15. (reachable T_0 T_2) (-. (reachable T_0 T_2)) ### Axiom % 0.20/0.41 16. (p T_2) (-. (p T_2)) ### Axiom % 0.20/0.41 17. (-. ((reachable T_0 T_2) /\ (p T_2))) (p T_2) (reachable T_0 T_2) ### NotAnd 15 16 % 0.20/0.41 18. (-. (Ex W, ((reachable T_0 W) /\ (p W)))) (reachable T_0 T_2) (p T_2) ### NotExists 17 % 0.20/0.41 19. (reachable T_0 T_2) (-. (reachable T_0 T_2)) ### Axiom % 0.20/0.41 20. (T_3 != T_3) ### Refl(=) % 0.20/0.41 21. (-. (reachable T_0 T_3)) (reachable T_2 T_3) (reachable T_0 T_2) ### Trans 19 20 % 0.20/0.41 22. (q T_3) (-. (q T_3)) ### Axiom % 0.20/0.41 23. (-. ((reachable T_0 T_3) /\ (q T_3))) (q T_3) (reachable T_0 T_2) (reachable T_2 T_3) ### NotAnd 21 22 % 0.20/0.41 24. (-. (Ex W, ((reachable T_0 W) /\ (q W)))) (reachable T_2 T_3) (reachable T_0 T_2) (q T_3) ### NotExists 23 % 0.20/0.41 25. ((reachable T_2 T_3) /\ (q T_3)) (reachable T_0 T_2) (-. (Ex W, ((reachable T_0 W) /\ (q W)))) ### And 24 % 0.20/0.41 26. (Ex V, ((reachable T_2 V) /\ (q V))) (-. (Ex W, ((reachable T_0 W) /\ (q W)))) (reachable T_0 T_2) ### Exists 25 % 0.20/0.41 27. ((p T_2) \/ (Ex V, ((reachable T_2 V) /\ (q V)))) (-. (Ex W, ((reachable T_0 W) /\ (q W)))) (reachable T_0 T_2) (-. (Ex W, ((reachable T_0 W) /\ (p W)))) ### Or 18 26 % 0.20/0.41 28. (-. ((Ex W, ((reachable T_0 W) /\ (p W))) \/ (Ex W, ((reachable T_0 W) /\ (q W))))) (reachable T_0 T_2) ((p T_2) \/ (Ex V, ((reachable T_2 V) /\ (q V)))) ### NotOr 27 % 0.20/0.41 29. ((reachable T_0 T_2) /\ ((p T_2) \/ (Ex V, ((reachable T_2 V) /\ (q V))))) (-. ((Ex W, ((reachable T_0 W) /\ (p W))) \/ (Ex W, ((reachable T_0 W) /\ (q W))))) ### And 28 % 0.20/0.41 30. (Ex Z, ((reachable T_0 Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V)))))) (-. ((Ex W, ((reachable T_0 W) /\ (p W))) \/ (Ex W, ((reachable T_0 W) /\ (q W))))) ### Exists 29 % 0.20/0.41 31. (-. ((Ex Z, ((reachable T_0 Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V)))))) <=> ((Ex W, ((reachable T_0 W) /\ (p W))) \/ (Ex W, ((reachable T_0 W) /\ (q W)))))) ### NotEquiv 14 30 % 0.20/0.41 32. (-. ((reachable (initial_world) T_0) => ((Ex Z, ((reachable T_0 Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V)))))) <=> ((Ex W, ((reachable T_0 W) /\ (p W))) \/ (Ex W, ((reachable T_0 W) /\ (q W))))))) ### NotImply 31 % 0.20/0.41 33. (-. (All Y, ((reachable (initial_world) Y) => ((Ex Z, ((reachable Y Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V)))))) <=> ((Ex W, ((reachable Y W) /\ (p W))) \/ (Ex W, ((reachable Y W) /\ (q W)))))))) ### NotAllEx 32 % 0.20/0.41 34. (-. ((reachable (initial_world) (initial_world)) /\ (All Y, ((reachable (initial_world) Y) => ((Ex Z, ((reachable Y Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V)))))) <=> ((Ex W, ((reachable Y W) /\ (p W))) \/ (Ex W, ((reachable Y W) /\ (q W))))))))) ### NotAnd 1 33 % 0.20/0.41 35. (-. (Ex X, ((reachable (initial_world) X) /\ (All Y, ((reachable X Y) => ((Ex Z, ((reachable Y Z) /\ ((p Z) \/ (Ex V, ((reachable Z V) /\ (q V)))))) <=> ((Ex W, ((reachable Y W) /\ (p W))) \/ (Ex W, ((reachable Y W) /\ (q W)))))))))) ### NotExists 34 % 0.20/0.41 % SZS output end Proof % 0.20/0.41 (* END-PROOF *) %------------------------------------------------------------------------------