%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS200+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n021.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 : Sun Jul 17 03:32:10 EDT 2022 % Result : Theorem 24.24s 24.49s % Output : Proof 24.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : KRS200+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n021.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 : Tue Jun 7 14:09:36 EDT 2022 % 0.12/0.33 % CPUTime : % 24.24/24.49 % SZS status Theorem % 24.24/24.49 (* PROOF-FOUND *) % 24.24/24.49 (* BEGIN-PROOF *) % 24.24/24.49 % SZS output start Proof % 24.24/24.49 1. (Ex I2, (model I2 T_0)) (-. (Ex I2, (model I2 T_0))) ### Axiom % 24.24/24.49 2. (-. ((-. (Ex I2, (model I2 T_0))) => (-. (Ex I2, (model I2 T_1))))) (Ex I2, (model I2 T_0)) ### NotImply 1 % 24.24/24.49 3. (-. (status T_0 T_1 (unp))) (status T_0 T_1 (unp)) ### Axiom % 24.24/24.49 4. (((-. (Ex I2, (model I2 T_0))) => (-. (Ex I2, (model I2 T_1)))) <=> (status T_0 T_1 (unp))) (-. (status T_0 T_1 (unp))) (Ex I2, (model I2 T_0)) ### Equiv 2 3 % 24.24/24.49 5. (All C, (((-. (Ex I2, (model I2 T_0))) => (-. (Ex I2, (model I2 C)))) <=> (status T_0 C (unp)))) (Ex I2, (model I2 T_0)) (-. (status T_0 T_1 (unp))) ### All 4 % 24.24/24.49 6. (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (-. (status T_0 T_1 (unp))) (Ex I2, (model I2 T_0)) ### All 5 % 24.24/24.49 7. (-. (status T_0 T_1 (thm))) (status T_0 T_1 (thm)) ### Axiom % 24.24/24.49 8. (-. (-. (status T_0 T_1 (thm)))) (-. (status T_0 T_1 (thm))) ### NotNot 7 % 24.24/24.49 9. (-. ((status T_0 T_1 (unp)) /\ (-. (status T_0 T_1 (thm))))) (-. (status T_0 T_1 (thm))) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) ### NotAnd 6 8 % 24.24/24.49 10. (-. (Ex C, ((status T_0 C (unp)) /\ (-. (status T_0 C (thm)))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (Ex I2, (model I2 T_0)) (-. (status T_0 T_1 (thm))) ### NotExists 9 % 24.24/24.49 11. (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (-. (status T_0 T_1 (thm))) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) ### NotExists 10 % 24.24/24.49 12. (model T_2 T_0) (-. (model T_2 T_0)) ### Axiom % 24.24/24.49 13. (-. (model T_2 T_1)) (model T_2 T_1) ### Axiom % 24.24/24.49 14. ((model T_2 T_0) => (model T_2 T_1)) (-. (model T_2 T_1)) (model T_2 T_0) ### Imply 12 13 % 24.24/24.49 15. (All I1, ((model I1 T_0) => (model I1 T_1))) (model T_2 T_0) (-. (model T_2 T_1)) ### All 14 % 24.24/24.49 16. ((All I1, ((model I1 T_0) => (model I1 T_1))) <=> (status T_0 T_1 (thm))) (-. (model T_2 T_1)) (model T_2 T_0) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (Ex I2, (model I2 T_0)) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) ### Equiv 11 15 % 24.24/24.49 17. (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (model T_2 T_0) (-. (model T_2 T_1)) ### All 16 % 24.24/24.49 18. (-. (-. (Ex I2, (model I2 T_0)))) (-. (model T_2 T_1)) (model T_2 T_0) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) ### NotNot 17 % 24.24/24.49 19. (model T_2 T_0) (-. (model T_2 T_0)) ### Axiom % 24.24/24.49 20. (-. (Ex I2, (model I2 T_0))) (model T_2 T_0) ### NotExists 19 % 24.24/24.49 21. ((-. (Ex I2, (model I2 T_0))) <=> (status T_0 zenon_X3 (cax))) (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (model T_2 T_0) (-. (model T_2 T_1)) ### Equiv 18 20 % 24.24/24.49 22. (All C, ((-. (Ex I2, (model I2 T_0))) <=> (status T_0 C (cax)))) (-. (model T_2 T_1)) (model T_2 T_0) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) ### All 21 % 24.24/24.49 23. (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (model T_2 T_0) (-. (model T_2 T_1)) ### All 22 % 24.24/24.49 24. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (model T_2 T_1)) (model T_2 T_0) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### All 23 % 24.24/24.49 25. ((model T_2 T_0) /\ ((-. (model T_2 T_1)) /\ (Ex I2, (model I2 T_1)))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### ConjTree 24 % 24.24/24.49 26. (Ex C, ((model T_2 T_0) /\ ((-. (model T_2 C)) /\ (Ex I2, (model I2 C))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Exists 25 % 24.24/24.49 27. (Ex Ax, (Ex C, ((model T_2 Ax) /\ ((-. (model T_2 C)) /\ (Ex I2, (model I2 C)))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### Exists 26 % 24.24/24.49 28. (Ex I1, (Ex Ax, (Ex C, ((model I1 Ax) /\ ((-. (model I1 C)) /\ (Ex I2, (model I2 C))))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (-. (Ex Ax, (Ex C, ((status Ax C (unp)) /\ (-. (status Ax C (thm))))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Exists 27 % 24.24/24.49 29. (-. (nota (unp) (thm))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) => (-. (Ex I2, (model I2 C)))) <=> (status Ax C (unp))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex I1, (Ex Ax, (Ex C, ((model I1 Ax) /\ ((-. (model I1 C)) /\ (Ex I2, (model I2 C))))))) ### Definition-Pseudo(nota) 28 % 24.24/24.49 % SZS output end Proof % 24.24/24.49 (* END-PROOF *) %------------------------------------------------------------------------------