%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS256+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 : n023.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 4.52s 4.74s % Output : Proof 4.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : KRS256+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.32 % Computer : n023.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Tue Jun 7 19:50:53 EDT 2022 % 0.11/0.32 % CPUTime : % 4.52/4.74 % SZS status Theorem % 4.52/4.74 (* PROOF-FOUND *) % 4.52/4.74 (* BEGIN-PROOF *) % 4.52/4.74 % SZS output start Proof % 4.52/4.74 1. (-. (model T_0 T_1)) (model T_0 T_1) ### Axiom % 4.52/4.74 2. (-. ((model T_0 T_1) => (model T_0 T_1))) ### NotImply 1 % 4.52/4.74 3. (-. (All I1, ((model I1 T_1) => (model I1 T_1)))) ### NotAllEx 2 % 4.52/4.74 4. (model T_2 T_1) (-. (model T_2 T_1)) ### Axiom % 4.52/4.74 5. (All I, (-. (model I T_1))) (model T_2 T_1) ### All 4 % 4.52/4.74 6. (Ex I2, (model I2 T_1)) (All I, (-. (model I T_1))) ### Exists 5 % 4.52/4.74 7. (-. (-. (Ex I2, (model I2 T_1)))) (All I, (-. (model I T_1))) ### NotNot 6 % 4.52/4.74 8. (-. (Ex I2, (model I2 T_1))) (Ex I2, (model I2 T_1)) ### Axiom % 4.52/4.74 9. (-. (Ex I2, (model I2 T_1))) (Ex I2, (model I2 T_1)) ### Axiom % 4.52/4.74 10. (-. ((Ex I2, (model I2 T_1)) <=> (Ex I2, (model I2 T_1)))) (-. (Ex I2, (model I2 T_1))) ### NotEquiv 8 9 % 4.52/4.74 11. (-. (status T_1 T_1 (esa))) (status T_1 T_1 (esa)) ### Axiom % 4.52/4.74 12. (((Ex I2, (model I2 T_1)) <=> (Ex I2, (model I2 T_1))) <=> (status T_1 T_1 (esa))) (-. (status T_1 T_1 (esa))) (-. (Ex I2, (model I2 T_1))) ### Equiv 10 11 % 4.52/4.74 13. (All C, (((Ex I2, (model I2 T_1)) <=> (Ex I2, (model I2 C))) <=> (status T_1 C (esa)))) (-. (Ex I2, (model I2 T_1))) (-. (status T_1 T_1 (esa))) ### All 12 % 4.52/4.74 14. (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (-. (status T_1 T_1 (esa))) (-. (Ex I2, (model I2 T_1))) ### All 13 % 4.52/4.74 15. (status T_1 T_1 (thm)) (-. (status T_1 T_1 (thm))) ### Axiom % 4.52/4.74 16. (-. ((status T_1 T_1 (esa)) /\ (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 (esa))))) ### NotAnd 14 15 % 4.52/4.74 17. (-. (Ex C, ((status T_1 C (esa)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (-. (Ex I2, (model I2 T_1))) (status T_1 T_1 (thm)) ### NotExists 16 % 4.52/4.74 18. ((-. (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 (esa))))) (-. (Ex C, ((status T_1 C (esa)) /\ (status T_1 C (thm))))) (All I, (-. (model I T_1))) ### Equiv 7 17 % 4.52/4.74 19. (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 (esa)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (status T_1 T_1 (thm)) ### All 18 % 4.52/4.74 20. (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 (esa))))) (-. (Ex C, ((status T_1 C (esa)) /\ (status T_1 C (thm))))) (All I, (-. (model I T_1))) ### All 19 % 4.52/4.74 21. ((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 (esa)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Equiv 3 20 % 4.52/4.74 22. (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 (esa))))) (-. (Ex C, ((status T_1 C (esa)) /\ (status T_1 C (thm))))) (All I, (-. (model I T_1))) ### All 21 % 4.52/4.74 23. (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 (esa)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) <=> (Ex I2, (model I2 C))) <=> (status Ax C (esa))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### All 22 % 4.52/4.74 24. (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (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 (esa))))) (All I, (-. (model I T_1))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotExists 23 % 4.52/4.74 25. (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 (esa))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (Ex Ax, (Ex C, ((status Ax C (esa)) /\ (status Ax C (thm)))))) ### Exists 24 % 4.52/4.74 26. (-. (mighta (esa) (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 (esa))))) (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) 25 % 4.52/4.74 % SZS output end Proof % 4.52/4.74 (* END-PROOF *) %------------------------------------------------------------------------------