%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS255+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 : n022.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 03:32:17 EDT 2022 % Result : Theorem 2.53s 2.77s % Output : Proof 2.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS255+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n022.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 7 06:58:50 EDT 2022 % 0.13/0.34 % CPUTime : % 2.53/2.77 % SZS status Theorem % 2.53/2.77 (* PROOF-FOUND *) % 2.53/2.77 (* BEGIN-PROOF *) % 2.53/2.77 % SZS output start Proof % 2.53/2.77 1. (-. (model T_0 T_1)) (model T_0 T_1) ### Axiom % 2.53/2.77 2. (-. ((model T_0 T_1) => (model T_0 T_1))) ### NotImply 1 % 2.53/2.77 3. (-. (All I1, ((model I1 T_1) => (model I1 T_1)))) ### NotAllEx 2 % 2.53/2.77 4. (model T_2 T_1) (-. (model T_2 T_1)) ### Axiom % 2.53/2.77 5. (All I, (-. (model I T_1))) (model T_2 T_1) ### All 4 % 2.53/2.77 6. (Ex I2, (model I2 T_1)) (All I, (-. (model I T_1))) ### Exists 5 % 2.53/2.77 7. (-. (-. (Ex I2, (model I2 T_1)))) (All I, (-. (model I T_1))) ### NotNot 6 % 2.53/2.77 8. (-. (Ex I2, (model I2 T_1))) (Ex I2, (model I2 T_1)) ### Axiom % 2.53/2.77 9. (-. ((Ex I2, (model I2 T_1)) => (Ex I2, (model I2 T_1)))) (-. (Ex I2, (model I2 T_1))) ### NotImply 8 % 2.53/2.77 10. (-. (status T_1 T_1 (sap))) (status T_1 T_1 (sap)) ### Axiom % 2.53/2.77 11. (((Ex I2, (model I2 T_1)) => (Ex I2, (model I2 T_1))) <=> (status T_1 T_1 (sap))) (-. (status T_1 T_1 (sap))) (-. (Ex I2, (model I2 T_1))) ### Equiv 9 10 % 2.53/2.77 12. (All C, (((Ex I2, (model I2 T_1)) => (Ex I2, (model I2 C))) <=> (status T_1 C (sap)))) (-. (Ex I2, (model I2 T_1))) (-. (status T_1 T_1 (sap))) ### All 11 % 2.53/2.77 13. (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (-. (status T_1 T_1 (sap))) (-. (Ex I2, (model I2 T_1))) ### All 12 % 2.53/2.77 14. (status T_1 T_1 (thm)) (-. (status T_1 T_1 (thm))) ### Axiom % 2.53/2.77 15. (-. ((status T_1 T_1 (sap)) /\ (status T_1 T_1 (thm)))) (status T_1 T_1 (thm)) (-. (Ex I2, (model I2 T_1))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) ### NotAnd 13 14 % 2.53/2.77 16. (-. (Ex C, ((status T_1 C (sap)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (-. (Ex I2, (model I2 T_1))) (status T_1 T_1 (thm)) ### NotExists 15 % 2.53/2.77 17. ((-. (Ex I2, (model I2 T_1))) <=> (status T_1 zenon_X3 (cax))) (status T_1 T_1 (thm)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (-. (Ex C, ((status T_1 C (sap)) /\ (status T_1 C (thm))))) (All I, (-. (model I T_1))) ### Equiv 7 16 % 2.53/2.77 18. (All C, ((-. (Ex I2, (model I2 T_1))) <=> (status T_1 C (cax)))) (All I, (-. (model I T_1))) (-. (Ex C, ((status T_1 C (sap)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (status T_1 T_1 (thm)) ### All 17 % 2.53/2.77 19. (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (status T_1 T_1 (thm)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (-. (Ex C, ((status T_1 C (sap)) /\ (status T_1 C (thm))))) (All I, (-. (model I T_1))) ### All 18 % 2.53/2.77 20. ((All I1, ((model I1 T_1) => (model I1 T_1))) <=> (status T_1 T_1 (thm))) (All I, (-. (model I T_1))) (-. (Ex C, ((status T_1 C (sap)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Equiv 3 19 % 2.53/2.77 21. (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (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 (sap))))) (-. (Ex C, ((status T_1 C (sap)) /\ (status T_1 C (thm))))) (All I, (-. (model I T_1))) ### All 20 % 2.53/2.77 22. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (All I, (-. (model I T_1))) (-. (Ex C, ((status T_1 C (sap)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### All 21 % 2.53/2.77 23. (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (status Ax C (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 (sap))))) (All I, (-. (model I T_1))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotExists 22 % 2.53/2.77 24. (Ex F, (All I, (-. (model I F)))) (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 (sap))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (status Ax C (thm)))))) ### Exists 23 % 2.53/2.77 25. (-. (mighta (sap) (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 (sap))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex F, (All I, (-. (model I F)))) ### Definition-Pseudo(mighta) 24 % 2.53/2.77 % SZS output end Proof % 2.53/2.77 (* END-PROOF *) %------------------------------------------------------------------------------